arXiv: General Relativity and Quantum Cosmology最新文献

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A broadband signal recycling scheme for saturating the quantum limit from optical losses 一种宽带信号回收方案,使量子极限从光损耗中饱和
arXiv: General Relativity and Quantum Cosmology Pub Date : 2020-11-09 DOI: 10.20944/preprints202011.0405.v1
Teng Zhang, J. Bentley, H. Miao
{"title":"A broadband signal recycling scheme for saturating the quantum limit from optical losses","authors":"Teng Zhang, J. Bentley, H. Miao","doi":"10.20944/preprints202011.0405.v1","DOIUrl":"https://doi.org/10.20944/preprints202011.0405.v1","url":null,"abstract":"Quantum noise limits the sensitivity of laser interferometric gravitational-wave detectors. Given the state-of-the-art optics, the optical losses define the lower bound of best possible quantum-limited detector sensitivity. In this work, we come up with the configuration which allows to saturate this lower bound by converting the signal recycling cavity to be a broadband signal amplifier using an active optomechanical filter. We will show the difference and advantage of such a broadband signal recycling scheme compared with the previous white-light-cavity scheme using the optomechanical filter in [Phys.Rev.Lett.115.211104 (2015)]. The drawback is that the new scheme is more susceptible to the thermal noise of the mechanical oscillator. To suppress the radiation pressure noise which rises along with the signal amplification, squeezing with input/output filter cavities and heavier test mass are used in this work.","PeriodicalId":8455,"journal":{"name":"arXiv: General Relativity and Quantum Cosmology","volume":"52 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77283795","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
The matter Lagrangian of an ideal fluid 理想流体的拉格朗日量
arXiv: General Relativity and Quantum Cosmology Pub Date : 2020-11-09 DOI: 10.1142/s0219887821500596
S. Mendoza, S. Silva
{"title":"The matter Lagrangian of an ideal fluid","authors":"S. Mendoza, S. Silva","doi":"10.1142/s0219887821500596","DOIUrl":"https://doi.org/10.1142/s0219887821500596","url":null,"abstract":"We show that the matter Lagrangian of an ideal fluid equals (up to a sign -depending on its definition and on the chosen signature of the metric) the total energy density of the fluid, i.e. rest energy density plus internal energy density.","PeriodicalId":8455,"journal":{"name":"arXiv: General Relativity and Quantum Cosmology","volume":" 18","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91412762","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
Dynamics of primordial fields in quantum cosmological spacetimes 量子宇宙学时空中原始场的动力学
arXiv: General Relativity and Quantum Cosmology Pub Date : 2020-11-06 DOI: 10.1103/PHYSREVD.103.083529
P. Małkiewicz, Artur Miroszewski
{"title":"Dynamics of primordial fields in quantum cosmological spacetimes","authors":"P. Małkiewicz, Artur Miroszewski","doi":"10.1103/PHYSREVD.103.083529","DOIUrl":"https://doi.org/10.1103/PHYSREVD.103.083529","url":null,"abstract":"Quantum cosmological models are commonly described by means of semiclassical approximations in which a smooth evolution of the expectation values of geometry operators replaces the classical and singular dynamics. The advantage of such descriptions is that they are relatively simple and display the classical behavior for large universes. However, they may \"smooth out\" an important inner structure to include which a more nuanced treatment is needed. The purpose of the present work is to investigate this inner structure and its influence on primordial gravitational waves. To this end we quantize a model of the Friedmann-Lemaitre-Robertson-Walker universe filled with a \"linear\" barotropic cosmological fluid and with gravitational waves. The quantization yields an equation of motion for the Fourier modes of gravitational radiation, which is a quantum extension to the usual parametric oscillator equation for gravitational waves propagating in an expanding universe. The two quantum effects from the cosmological background that enter the enhanced equation of motion are (i) a repulsive potential resolving the big bang singularity and replacing it with a Big Bounce; and (ii) uncertainties in the numerical values for the background spacetime dynamical variables. First we study the former effect and its consequences for the primordial amplitude spectrum and carefully discuss the physical scales and parameters of the model. Next we investigate the latter effect, in particular the extent to which it may affect the primordial amplitude of gravitational waves.","PeriodicalId":8455,"journal":{"name":"arXiv: General Relativity and Quantum Cosmology","volume":"11 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82508467","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Relativistic effective action of dynamical gravitomagnetic tides for slowly rotating neutron stars 慢旋转中子星引力潮汐的相对论有效作用
arXiv: General Relativity and Quantum Cosmology Pub Date : 2020-11-06 DOI: 10.1103/PHYSREVRESEARCH.3.013147
Pawan Kumar Gupta, J. Steinhoff, T. Hinderer
{"title":"Relativistic effective action of dynamical gravitomagnetic tides for slowly rotating neutron stars","authors":"Pawan Kumar Gupta, J. Steinhoff, T. Hinderer","doi":"10.1103/PHYSREVRESEARCH.3.013147","DOIUrl":"https://doi.org/10.1103/PHYSREVRESEARCH.3.013147","url":null,"abstract":"Gravitomagnetic quasi-normal modes of neutron stars are resonantly excited by tidal effects during a binary inspiral, leading to a potentially measurable effect in the gravitational-wave signal. We take an important step towards incorporating these effects in waveform models by developing a relativistic effective action for the gravitomagnetic dynamics that clarifies a number of subtleties. Working in the slow-rotation limit, we first consider the post-Newtonian approximation and explicitly derive the effective action from the equations of motion. We demonstrate that this formulation opens a way to compute mode frequencies, yields insights into the relevant matter variables, and elucidates the role of a shift symmetry of the fluid properties under a displacement of the gravitomagnetic mode amplitudes. We then construct a fully relativistic action based on the symmetries and a power counting scheme. This action involves four coupling coefficients that depend on the internal structure of the neutron star and characterize the key matter parameters imprinted in the gravitational waves. We show that, after fixing one of the coefficients by normalization, the other three directly involve the two kinds of gravitomagnetic Love numbers (static and irrotational), and the mode frequencies. We discuss several interesting features and dynamical consequences of this action, and analyze the frequency-domain response function (the frequency-dependent ratio between the induced flux quadrupole and the external gravitomagnetic field), and a corresponding Love operator representing the time-domain response. Our results provide the foundation for deriving precision predictions of gravitomagnetic effects, and the nuclear physics they encode, for gravitational-wave astronomy.","PeriodicalId":8455,"journal":{"name":"arXiv: General Relativity and Quantum Cosmology","volume":"3 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74243335","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 14
Universal Properties of Light Rings for Stationary Axisymmetric Spacetimes. 静止轴对称时空中光环的普适性。
arXiv: General Relativity and Quantum Cosmology Pub Date : 2020-11-04 DOI: 10.1103/PhysRevD.103.104031
Minyong Guo, Sijie Gao
{"title":"Universal Properties of Light Rings for Stationary Axisymmetric Spacetimes.","authors":"Minyong Guo, Sijie Gao","doi":"10.1103/PhysRevD.103.104031","DOIUrl":"https://doi.org/10.1103/PhysRevD.103.104031","url":null,"abstract":"Light rings (LRs) play an important role in gravitational wave observations and black hole photographs. In this letter, we investigate general features of LRs in stationary, axisymmetric, asymptotically flat spacetimes with or without horizons. For a nonextremal black hole, we show explicitly that there always exist at least two radially unstable LRs propagating in opposite directions on the equatorial plane. For an extremal black hole, we show that there exists at least one retrograde LR. Our method also applies to horizonless spacetimes and we prove that there always exist even number of LRs on the equatorial plane, where the outermost one is unstable in the radial direction. Only some natural and generic assumptions are used in our proof. The results are applicable to general relativity as well as most modified theories of gravity. In contrast to previous works on this issue, we obtain stronger and clearer results with a much more straightforward approach.","PeriodicalId":8455,"journal":{"name":"arXiv: General Relativity and Quantum Cosmology","volume":"124 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80369982","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 35
Gravitomagnetic resonance in the field of a gravitational wave 引力波场中的重力磁共振
arXiv: General Relativity and Quantum Cosmology Pub Date : 2020-11-02 DOI: 10.1103/PhysRevD.102.101501
M. Ruggiero, A. Ortolan
{"title":"Gravitomagnetic resonance in the field of a gravitational wave","authors":"M. Ruggiero, A. Ortolan","doi":"10.1103/PhysRevD.102.101501","DOIUrl":"https://doi.org/10.1103/PhysRevD.102.101501","url":null,"abstract":"Using the construction of the Fermi frame, the field of a gravitational wave can be described in terms of gravito-electromagnetic fields that are transverse to the propagation direction and orthogonal to each other. In particular, the gravito-magnetic field acts on spinning particles and we show that, due to the action of the gravitational wave field, a new phenomenon, that we call gravito-magnetic resonance, may appear. We give both a classical and a quantum description of this phenomenon and suggest that it can be used as the basis for a new type of gravitational wave detectors. Our results highlight the effectiveness of collective spin excitations, e.g. spin waves in magnetized materials, in detecting high frequency gravitational waves. Here we suggest that, when gravitational waves induce a precession of the electron spin, power is released in the ferromagnetic resonant mode endowed with quadrupole symmetry of a magnetized sphere. This offers a possible path to the detection of the gravito-magnetic effects of a gravitational wave.","PeriodicalId":8455,"journal":{"name":"arXiv: General Relativity and Quantum Cosmology","volume":"26 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81998492","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 10
N=1 Supergravity with loop quantum gravity methods and quantization of the SUSY constraint N=1环量子引力方法的超引力和SUSY约束的量子化
arXiv: General Relativity and Quantum Cosmology Pub Date : 2020-10-30 DOI: 10.1103/PHYSREVD.103.046010
K. Eder, H. Sahlmann
{"title":"N=1\u0000 Supergravity with loop quantum gravity methods and quantization of the SUSY constraint","authors":"K. Eder, H. Sahlmann","doi":"10.1103/PHYSREVD.103.046010","DOIUrl":"https://doi.org/10.1103/PHYSREVD.103.046010","url":null,"abstract":"In this paper, the classical and quantum theory of $mathcal{N}=1$ supergravity in four spacetime dimensions will be studied in the framework of loop quantum gravity. We discuss the canonical analysis of the supergravity Holst action as first introduced by Tsuda. In this way, we also derive a compact expression of the supersymmetry constraint, which plays a crucial role in canonical supergravity theories, akin to the role of the Hamiltonian constraint in non-supersymmetric generally covariant theories. The resulting theory is then quantized using loop quantum gravity methods. In particular, we propose and discuss a quantization of the supersymmetry constraint and derive explicit expressions of the action of the resulting operator. This is important as it is the first step on the way of analyzing the Dirac algebra generated by supersymmetry and Hamiltonian constraint in the quantum theory and for finding physical states. We also discuss some qualitative properties of such solutions of the SUSY constraint.","PeriodicalId":8455,"journal":{"name":"arXiv: General Relativity and Quantum Cosmology","volume":"161 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80186580","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Tidal Love numbers of Kerr black holes 克尔黑洞的潮汐爱数
arXiv: General Relativity and Quantum Cosmology Pub Date : 2020-10-29 DOI: 10.1103/PHYSREVD.103.084021
A. Le Tiec, M. Casals, Edgardo Franzin
{"title":"Tidal Love numbers of Kerr black holes","authors":"A. Le Tiec, M. Casals, Edgardo Franzin","doi":"10.1103/PHYSREVD.103.084021","DOIUrl":"https://doi.org/10.1103/PHYSREVD.103.084021","url":null,"abstract":"The open question of whether a Kerr black hole can become tidally deformed or not has profound implications for fundamental physics and gravitational-wave astronomy. We consider a Kerr black hole embedded in a weak and slowly varying, but otherwise arbitrary, multipolar tidal environment. By solving the static Teukolsky equation for the gauge-invariant Weyl scalar $psi_0$, and by reconstructing the corresponding metric perturbation in an ingoing radiation gauge, for a general harmonic index $ell$, we compute the linear response of a Kerr black hole to the tidal field. This linear response vanishes identically for a Schwarzschild black hole and for an axisymmetric perturbation of a spinning black hole. For a nonaxisymmetric perturbation of a spinning black hole, however, the linear response does not vanish, and it contributes to the Geroch-Hansen multipole moments of the perturbed Kerr geometry. As an application, we compute explicitly the rotational black hole tidal Love numbers that couple the induced quadrupole moments to the quadrupolar tidal fields, to linear order in the black hole spin, and we introduce the corresponding notion of tidal Love tensor. Finally, we show that those induced quadrupole moments are closely related to the well-known physical phenomenon of tidal torquing of a spinning body interacting with a tidal gravitational environment.","PeriodicalId":8455,"journal":{"name":"arXiv: General Relativity and Quantum Cosmology","volume":"85 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83900420","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 49
Quantum Scattering Process and Information Transfer Out of a Black Hole 量子散射过程与黑洞外的信息传递
arXiv: General Relativity and Quantum Cosmology Pub Date : 2020-10-29 DOI: 10.5506/APhysPolB.52.805
V. Emelyanov, F. Klinkhamer
{"title":"Quantum Scattering Process and Information Transfer Out of a Black Hole","authors":"V. Emelyanov, F. Klinkhamer","doi":"10.5506/APhysPolB.52.805","DOIUrl":"https://doi.org/10.5506/APhysPolB.52.805","url":null,"abstract":"We calculate the probability amplitude for tree-level elastic electron-muon scattering in Minkowski spacetime with carefully prepared initial and final wave packets. The obtained nonzero amplitude implies a nonvanishing probability for detecting a recoil electron outside the light-cone of the initial muon. Transposing this Minkowski-spacetime scattering result to the near-horizon region of a massive Schwarzschild black hole and referring to a previously proposed Gedankenexperiment, we conclude that, in principle, it is possible to have information transfer from inside the black-hole horizon to outside.","PeriodicalId":8455,"journal":{"name":"arXiv: General Relativity and Quantum Cosmology","volume":"103 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73002912","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Algorithm for time-delay interferometry numerical simulation and sensitivity investigation 延时干涉测量算法的数值模拟及灵敏度研究
arXiv: General Relativity and Quantum Cosmology Pub Date : 2020-10-29 DOI: 10.1103/PhysRevD.103.122006
Gang Wang, W. Ni, W. Han, C. Qiao
{"title":"Algorithm for time-delay interferometry numerical simulation and sensitivity investigation","authors":"Gang Wang, W. Ni, W. Han, C. Qiao","doi":"10.1103/PhysRevD.103.122006","DOIUrl":"https://doi.org/10.1103/PhysRevD.103.122006","url":null,"abstract":"In this work, we introduce a generic algorithm to numerically determine the time delays and spacecraft positions for a time-delay interferometry (TDI) channel in the dynamical case, and streamline the calculations by implementing an SC layout-time delay diagram. We select 11 second-generation TDI channels constructed from four approaches and evaluate their performances including gravitational wave responses, noise levels, and averaged sensitivities under a numerical LISA orbit. The results show that the interference paths of selected TDI channels are well matched and the laser frequency noise should be suppressed under the secondary noise. The channels show various sensitivities in the range of [0.1 mHz, 0.3 Hz], and the major differences appear in the frequency region lower than 20 mHz. The optimal channel A$_2$ or E$_2$ combined from second-generation Michelson TDI channels (X$_1$, X$_2$, and X$_3$) achieves the best sensitivity in the selected channels for the frequency lower than 50 mHz, while the Sagnac $alpha_1$ channel shows the worse sensitivity. Multiple channels show better sensitivities at some characteristic frequencies compared to the fiducial X$_1$ channel. The Michelson-type channels would have identical sensitivities considering noise level changes with the GW response. The joint $mathrm{A_2+E_2+T_2}$ observation not only enhances the sensitivity of the X$_1$ channel by a factor of $sqrt{2}$ to 2 but also improves the capacity of sky coverage.","PeriodicalId":8455,"journal":{"name":"arXiv: General Relativity and Quantum Cosmology","volume":"11 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90771657","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
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