Classical and Quantum Gravity最新文献

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Low-lying quasinormal modes of Kazakov–Solodukhin black holes from Chebyshev and continued-fraction methods 用Chebyshev和连分数方法研究Kazakov-Solodukhin黑洞的低洼拟正态模
IF 3.5 3区 物理与天体物理
Classical and Quantum Gravity Pub Date : 2026-09-04 DOI: 10.1088/1361-6382/ae9e20
Adel H Al-Yoorby
{"title":"Low-lying quasinormal modes of Kazakov–Solodukhin black holes from Chebyshev and continued-fraction methods","authors":"Adel H Al-Yoorby","doi":"10.1088/1361-6382/ae9e20","DOIUrl":"https://doi.org/10.1088/1361-6382/ae9e20","url":null,"abstract":"Abstract Black-hole quasinormal modes are damped resonances set by wave scattering from the curvature-generated potential barrier outside the horizon. We ask how the Kazakov–Solodukhin (KS) deformation changes these resonances at fixed mass. The minimally coupled scalar field is the cleanest physical probe because its propagation is fixed by the metric alone. Increasing the deformation moves the scalar barrier outward and makes its peak lower and less sharply curved. The lower barrier reduces the oscillation scale, while the flatter peak reduces the damping rate: the scalar ringdown therefore has a lower pitch and a slightly longer-lived envelope. For the quadrupolar ℓ = 2 , n = 0 mode at a / M = 1 , Re ⁡ ω , − Im ⁡ ω , and Q = Re ⁡ ω / [ 2 ( − Im ⁡ ω ) ] change by − 7.29 % , − 2.59 % , and − 4.83 % , respectively. Because the pitch falls more than the damping rate, the perturbation completes fewer cycles per damping time even though it decays slightly more slowly. We establish these shifts with Chebyshev collocation and a collocation-independent Frobenius continued fraction, accepting candidate roots only after residual, convergence, continuation, backward-error, and cross-method checks. In the Schwarzschild limit, the N = 96 scalar result and the continued-fraction value differ from the published benchmark by 5.60 × 10 − 11 and 8.24 × 10 − 13 . We report robust scalar fundamentals for ℓ = 2 , 3 , 4 , cross-validated first overtones at N = 32 , and exploratory second overtones. The scalar pseudospectral basin broadens with deformation, indicating increased local numerical sensitivity without, by itself, implying an instability. For odd-parity gravitational perturbations we derive a gauge-invariant master equation under an inverse-Cowling closure; those axial frequencies remain conditional because the spherical KS action does not determine nonspherical quantum-source perturbations.","PeriodicalId":10282,"journal":{"name":"Classical and Quantum Gravity","volume":"12 1","pages":"175010"},"PeriodicalIF":3.5,"publicationDate":"2026-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148894166","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Antipodal constraints on transient Hawking radiation in a conformal channel 保形通道中瞬态霍金辐射的对映约束
IF 3.5 3区 物理与天体物理
Classical and Quantum Gravity Pub Date : 2026-09-04 DOI: 10.1088/1361-6382/ae99a5
M Baran Ökten,Aslı S Turan
{"title":"Antipodal constraints on transient Hawking radiation in a conformal channel","authors":"M Baran Ökten,Aslı S Turan","doi":"10.1088/1361-6382/ae99a5","DOIUrl":"https://doi.org/10.1088/1361-6382/ae99a5","url":null,"abstract":"Abstract Hawking radiation away from stationarity is governed, at the ray tracing level, by the retarded time evolution of the null mapping. We consider an extracted massless conformal channel whose outgoing directions are labelled on a fixed reference horizon slice. Balanced uniformisation, after fixing a nondegenerate balanced branch, defines an induced antipodal involution on this slice. We prove that creation and erasure of centred antipodal odd structure in the channel labelled peeling field enforce a lower bound on the time-integrated spatial norm of the conformal channel defect. The forcing scale depends only on the largest intermediate mismatch and the intrinsic Jacobian distortion of the induced antipode, while greybody filtering, angular and frequency mixing, mass effects, spin dependence, and residual propagation or extraction corrections enter through a remainder whose integrated norm must be controlled independently. Round sphere odd scalar harmonics provide analytic calibrations, with the compact dipole pulse saturating the geometric and temporal estimates. A time-averaged form identifies a transient conformal channel scale proportional to the antipodal peeling amplitude divided by the episode duration.","PeriodicalId":10282,"journal":{"name":"Classical and Quantum Gravity","volume":"5 1","pages":"175012"},"PeriodicalIF":3.5,"publicationDate":"2026-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148894165","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Dedicated-frequency analysis of gravitational-wave bursts from core-collapse supernovae 核心坍缩超新星引力波爆发的专用频率分析
IF 3.5 3区 物理与天体物理
Classical and Quantum Gravity Pub Date : 2026-09-03 DOI: 10.1088/1361-6382/aea263
Yi Shuen Christine Lee,Marek Szczepańczyk,Tanmaya Mishra,Margaret Millhouse,Andrew Melatos
{"title":"Dedicated-frequency analysis of gravitational-wave bursts from core-collapse supernovae","authors":"Yi Shuen Christine Lee,Marek Szczepańczyk,Tanmaya Mishra,Margaret Millhouse,Andrew Melatos","doi":"10.1088/1361-6382/aea263","DOIUrl":"https://doi.org/10.1088/1361-6382/aea263","url":null,"abstract":"Abstract Gravitational waves (GWs) emitted during a core-collapse supernova (CCSN) exhibit characteristic frequency features that encode information about the underlying physical processes leading up to the explosion. The dedicated-frequency framework is a hierarchical pipeline for following up GW burst detection candidates via bandpass analyses, designed to facilitate the detection of frequency-specific GW signatures. The applications of the dedicated-frequency framework are demonstrated using two separate case studies: a low-frequency and a high-frequency analysis. A successful detection with the low-frequency analysis, limited to ≲ 256 Hz, confirms the presence of low-frequency GW signatures associated hydrodynamical instabilities and provides constrains on CCSNe explosion mechanisms. In contrast, a high-frequency analysis, limited to ≳ 256 Hz, improves the detection significance of events with negligible signal power below 256 Hz. The methods and results described in this article were originally presented in Lee et al. 2025 (Physical Review D 112, 082006).","PeriodicalId":10282,"journal":{"name":"Classical and Quantum Gravity","volume":"11661 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2026-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148894172","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Calibrating spectral siren cosmology with synthetic catalogs of binary black hole mergers 用双黑洞合并的合成星表校准光谱警笛宇宙学
IF 3.5 3区 物理与天体物理
Classical and Quantum Gravity Pub Date : 2026-09-03 DOI: 10.1088/1361-6382/aea262
Arianna Scarpa,Simone Mastrogiovanni,Filippo Santoliquido,Manuel Arca Sedda,Giovanni Antinozzi
{"title":"Calibrating spectral siren cosmology with synthetic catalogs of binary black hole mergers","authors":"Arianna Scarpa,Simone Mastrogiovanni,Filippo Santoliquido,Manuel Arca Sedda,Giovanni Antinozzi","doi":"10.1088/1361-6382/aea262","DOIUrl":"https://doi.org/10.1088/1361-6382/aea262","url":null,"abstract":"Abstract Binary black hole (BBH) mergers detected through Gravitational Waves (GWs) are a promising probe for the cosmic expansion. These sources are standard sirens for which we can directly measure the luminosity distance, but their redshift is degenerate with the determination of their source masses. In analogy to standard candles, the redshift of standard sirens can be obtained using a calibration based on the source mass spectrum, but without the need for a cosmological ladder. 
The modelling of the BBH mass spectrum is crucial for GW cosmology. In this paper, we propose a new pipeline based on Normalizing Flows to calibrate population models on synthetic BBH catalogs generated from astrophysical prescriptions. Although these models are less flexible than the current parametric models used in the literature, they have the advantage of directly capturing the correlations between BBH mass and redshift and provide a direct link between different formation channels and cosmological parameter inference. We discuss potential applications and limitations of this method using the B-POP code to generate a mock catalog that contains BBH formed by isolated stellar binaries and in dense stellar environments via dynamical interactions.
Using this methodology, we show that B-POP provides a good fit for the mass and redshift distributions of the GW events in GWTC-4.0 data for a flat ΛCDM cosmology with H 0 ~ 70 km/s/Mpc and Ω m =0.308. We also find a correlation between H 0 and the fraction of binaries produced by the dynamical and isolated formation channels arising from the fact that dynamically formed binaries populate the higher side of the mass spectrum.","PeriodicalId":10282,"journal":{"name":"Classical and Quantum Gravity","volume":"2 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2026-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148894170","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Regular Black Strings and $(2+1)$ Black Hole in Unimodular Gravity Supported by Maxwell Fields 麦克斯韦场支持的单模引力中的正则黑弦和$(2+1)$黑洞
IF 3.5 3区 物理与天体物理
Classical and Quantum Gravity Pub Date : 2026-09-03 DOI: 10.1088/1361-6382/aea264
Geová Alencar,Victor Hugo Uchoa Borralho
{"title":"Regular Black Strings and $(2+1)$ Black Hole in Unimodular Gravity Supported by Maxwell Fields","authors":"Geová Alencar,Victor Hugo Uchoa Borralho","doi":"10.1088/1361-6382/aea264","DOIUrl":"https://doi.org/10.1088/1361-6382/aea264","url":null,"abstract":"Abstract In this work, we obtain regular solutions with a dynamical cosmological function in unimodular
gravity. This alternative theory to General Relativity imposes an additional condition on the spacetime volume element by fixing the metric volume density to a prescribed non-dynamical quantity, which can be represented by a constant in unimodular coordinates. In this procedure, the cosmological constant does not appear directly in the action, but rather as an integration constant of the field equations. 
By using the non-conservation of the energy-momentum tensor, we show that the integration constant becomes a function $Lambda(x)=Lambda_0+deltaLambda(x)$, where $Lambda_0$ is the vacuum cosmological constant and $deltaLambda(r)$ is a matter-induced cosmological contribution determined by the geometry and the electromagnetic sector.
From the definition of the geometric function $H(r)$, we verify the validity of Maxwell electrodynamics as a source for the solutions. We further show that linear combinations of the mass functions associated with the individual solutions can also be consistently supported by the Maxwell field, a property that is not generally shared by nonlinear electrodynamics. This result allows us to construct a broader family of regular solutions and investigate their physical properties. In particular, we analyze the energy conditions, curvature invariants, and thermodynamic properties of the generated solutions.","PeriodicalId":10282,"journal":{"name":"Classical and Quantum Gravity","volume":"379 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2026-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148894168","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A resistive MHD module in the GPU-accelerated GRMHD code GRaM-X 一个电阻MHD模块在gpu加速GRMHD代码GRaM-X
IF 3.5 3区 物理与天体物理
Classical and Quantum Gravity Pub Date : 2026-09-03 DOI: 10.1088/1361-6382/ae99ce
Sara Azizi,Swapnil Shankar,Philipp Mösta,Roland Haas,Erik Schnetter
{"title":"A resistive MHD module in the GPU-accelerated GRMHD code\u0000 GRaM-X","authors":"Sara Azizi,Swapnil Shankar,Philipp Mösta,Roland Haas,Erik Schnetter","doi":"10.1088/1361-6382/ae99ce","DOIUrl":"https://doi.org/10.1088/1361-6382/ae99ce","url":null,"abstract":"Abstract Relativistic macroscopic plasma dynamics can be described by general-relativistic magnetohydrodynamics. In many high-energy astrophysical settings, such as the interior dynamics of magnetized stars, the ideal GRMHD approximation, in which we assume infinite conductivity, provides an excellent description. However, ideal GRMHD neglects resistive effects that are essential for processes such as magnetic reconnection, dissipation, and magnetospheric dynamics. Incorporating resistivity into astrophysical plasma models accounts for the fact that plasmas in such environments are not perfect conductors. We present a resistive version of the GPU-accelerated GRMHD code GRaM-X , which evolves the full resistive GRMHD equations using the Z4c formalism for Einstein’s equations. We implement a second-order implicit–explicit Runge–Kutta scheme to handle stiff source terms, obtain the primitive quantities from the conserved quantities using one- and four-dimensional recovery methods, and employ the HLLE Riemann solver in combination with TVD and WENO reconstruction schemes. We validate the module using a range of standard tests, including 1D shocktubes, current sheets, Alfvén waves, 2D cylindrical explosions, and 3D TOV stars. The results of these tests demonstrate accurate recovery of the ideal MHD limit, correct resistive behavior, and stable evolution in dynamical spacetimes. Leveraging the GPU-accelerated resistive version of GRaM-X enables efficient large-scale simulations, paving the way for realistic studies of binary mergers, accretion flows, and relativistic jets within the framework of multi-messenger astrophysics.","PeriodicalId":10282,"journal":{"name":"Classical and Quantum Gravity","volume":"266 1","pages":"175009"},"PeriodicalIF":3.5,"publicationDate":"2026-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148894171","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Canonical quantization and constraint algebra of Weyl-invariant gravity in a conformal gauge: emergence of a geometric cosmological term 保形规范中weyl不变引力的规范量子化和约束代数:一个几何宇宙学项的出现
IF 3.5 3区 物理与天体物理
Classical and Quantum Gravity Pub Date : 2026-09-02 DOI: 10.1088/1361-6382/ae9de4
Jorge Meza-Domínguez,Tonatiuh Matos
{"title":"Canonical quantization and constraint algebra of Weyl-invariant gravity in a conformal gauge: emergence of a geometric cosmological term","authors":"Jorge Meza-Domínguez,Tonatiuh Matos","doi":"10.1088/1361-6382/ae9de4","DOIUrl":"https://doi.org/10.1088/1361-6382/ae9de4","url":null,"abstract":"Abstract We present the canonical quantization of Weyl-invariant gravity in a specific conformal gauge. Fixing the scale factor as a ( η ) = 1 / ( H 0 η ) yields an effective geometric cosmological term M ( η ) = α / η 2 on the left-hand side of the Einstein equations, guaranteeing an equation of state w = − 1 by construction. The Bianchi identity requires a compensator scalar field; we show that this compensator is the conformal mode of the metric, a gauge artifact that does not propagate ghost instabilities in the full quantum theory. We develop the complete Arnowitt–Deser–Misner Hamiltonian formulation and prove that the constraint algebra closes in standard first-class form. Canonical quantization yields a well-defined Wheeler–DeWitt equation where the M ( η ) term acts as a potential barrier dynamically suppressing the quantum creation of small-scale universes. The physical reduced Hamiltonian is demonstrated to be bounded from below, time evolution is strictly unitary in the physical Hilbert space, and microcausality is preserved. In the pure vacuum regime, the model admits an exact analytical solution with Ω DE = 1 , resolving the cosmic coincidence problem without fine-tuned parameters. In the matter-dominated era, the comoving horizon scales as R H ∝ η , so our result M ∝ η − 2 ∝ R H − 2 reproduces the central Compton Mass Dark Energy (CMaDE) hypothesis from first principles and establishes n = − 2 as the theoretical benchmark for the conformal holographic dark energy parametrization M ∝ η n . From a pure conformal symmetry principle, the model delivers an effective geometric cosmological term that drives the accelerated expansion with w = − 1 , providing the missing action principle for CMaDE.","PeriodicalId":10282,"journal":{"name":"Classical and Quantum Gravity","volume":"51 1","pages":"175006"},"PeriodicalIF":3.5,"publicationDate":"2026-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148894175","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Higher–curvature corrections and the endpoint of black hole evaporation in gravitational effective field theory 引力场理论中的高曲率修正与黑洞蒸发终点
IF 3.5 3区 物理与天体物理
Classical and Quantum Gravity Pub Date : 2026-09-02 DOI: 10.1088/1361-6382/ae9aec
Lorens F Niehof,Sjors Heefer,Andrea Fuster,Federico Toschi
{"title":"Higher–curvature corrections and the endpoint of black hole evaporation in gravitational effective field theory","authors":"Lorens F Niehof,Sjors Heefer,Andrea Fuster,Federico Toschi","doi":"10.1088/1361-6382/ae9aec","DOIUrl":"https://doi.org/10.1088/1361-6382/ae9aec","url":null,"abstract":"Abstract The endpoint of black hole evaporation remains uncertain once the semiclassical description approaches the Planck scale. In this work we study late–stage evaporation within four–dimensional gravitational effective field theory (EFT). We consider the leading local correction to the Schwarzschild solution arising from a cubic curvature operator, and use the corrected geometry to analyze the resulting evaporation dynamics and associated thermodynamic properties. We show that the cubic correction induces a parametric slow–down of the evaporation rate at small masses, which within the truncated theory can appear as a freeze–out at a finite mass scale. We demonstrate that this behavior is not an independent physical prediction, but instead occurs precisely when the dimensionless expansion parameter of the effective theory becomes of order unity. The corresponding mass scale coincides parametrically with the onset of Planckian curvature at the horizon, establishing that the evaporation dynamics provide a direct diagnostic of the breakdown of the EFT. A scaling analysis of higher–order curvature operators shows that once the cubic term becomes comparable to the Einstein–Hilbert contribution, generic higher–order terms are no longer parametrically suppressed. The apparent remnant–like behavior therefore arises at the boundary of validity of the effective description rather than within a controlled perturbative regime. These results demonstrate that late–stage evaporation encodes the limits of gravitational EFT, providing a dynamical criterion for its breakdown.","PeriodicalId":10282,"journal":{"name":"Classical and Quantum Gravity","volume":"11 1","pages":"175007"},"PeriodicalIF":3.5,"publicationDate":"2026-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148894205","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Freelance Fluid/Gravity Correspondence, 3d Analysis 自由流体/重力通信,3d分析
IF 3.5 3区 物理与天体物理
Classical and Quantum Gravity Pub Date : 2026-09-02 DOI: 10.1088/1361-6382/aea1b9
Mohammed M Sheikh-Jabbari,Vahid Taghiloo
{"title":"Freelance Fluid/Gravity Correspondence, 3d Analysis","authors":"Mohammed M Sheikh-Jabbari,Vahid Taghiloo","doi":"10.1088/1361-6382/aea1b9","DOIUrl":"https://doi.org/10.1088/1361-6382/aea1b9","url":null,"abstract":"Abstract The freelance holography program is an extension of the gauge/gravity correspondence, where the gravity theory is defined on a portion of AdS with an arbitrary timelike boundary, with any desired boundary conditions. It is also known that the gauge/gravity correspondence admits a fluid/gravity correspondence limit, where the gauge theory side is well described by a fluid. In this work, combining the two, we work through ``freelance fluid/gravity''. In particular, we study in detail the 2d fluid (3d Einstein gravity) case, where one has good analytical control over the bulk equations due to their integrability and absence of viscosity in the 2d fluid. We study consistency and validity requirements for the freelance fluid/gravity correspondence and how the fluid changes along the renormalization group (RG) flow. We prove the $v_g$-theorem, stating that the group velocity of fluid waves $v_g$ is a decreasing function as we move toward the infrared region along the RG flow, regardless of the adopted boundary conditions. We also study examples of holographic fluid with various asymptotic boundary conditions.","PeriodicalId":10282,"journal":{"name":"Classical and Quantum Gravity","volume":"75 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2026-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148894173","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Planckian gravitons from an imaginary-time clock 来自虚时钟的普朗克引力子
IF 3.5 3区 物理与天体物理
Classical and Quantum Gravity Pub Date : 2026-09-02 DOI: 10.1088/1361-6382/ae9de5
Michael R R Good,Eric V Linder
{"title":"Planckian gravitons from an imaginary-time clock","authors":"Michael R R Good,Eric V Linder","doi":"10.1088/1361-6382/ae9de5","DOIUrl":"https://doi.org/10.1088/1361-6382/ae9de5","url":null,"abstract":"Abstract We present a simple derivation of the exact Planck spectrum of the quadrupole radiation from point masses moving apart nonrelativistically, essentially an analog for gravitational radiation. The standard Einstein quadrupole radiation formula gives emitted power proportional to the square of the third derivative of x ( t ) 2 . In our moving-mass picture, imaginary-time periodicity appears as a product-log trajectory of a quadrupole source. In the frequency domain, the power becomes proportional to the Planck distribution, ω 3 / ( e 2 π c ω / κ − 1 ) . The resulting Planckian graviton energy spectrum has finite total energy and finite mean graviton number. The emitted spectrum is purely kinematic in origin: no equilibrium, horizon, or stochastic source is assumed.","PeriodicalId":10282,"journal":{"name":"Classical and Quantum Gravity","volume":"12 1","pages":"175005"},"PeriodicalIF":3.5,"publicationDate":"2026-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148894204","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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