{"title":"Scalaron hair induced by topological vortices in quadratic f(R) gravity on a BTZ black hole background","authors":"C. A. S. Almeida, F. C. E. Lima","doi":"10.1007/s10714-026-03567-6","DOIUrl":"10.1007/s10714-026-03567-6","url":null,"abstract":"<div><p>We investigate the excitation of the propagating scalar degree of freedom—the scalaron—in quadratic <i>f</i>(<i>R</i>) gravity by localized Maxwell-Higgs vortices in a <span>((2+1))</span>-dimensional BTZ black hole spacetime. In the perturbative regime where the higher-curvature coupling is small compared to the AdS scale, the modified trace equation reduces to a massive Klein-Gordon equation for the Ricci scalar, sourced by the vortex energy-momentum tensor. Using the Sturm-Liouville structure of the radial operator, we construct the exact radial Green function and obtain the curvature profile for an arbitrary localized source. Outside the vortex core, the induced curvature perturbation exhibits a universal power-law decay <span>(R(r) sim r^{-(1+nu )})</span>, independent of the microscopic vortex structure, where the exponent <span>(nu )</span> coincides with the standard AdS mass-dimension relation. We demonstrate that the scalar excitation is linearly stable, satisfies the Breitenlohner-Freedman bound, carries finite total energy, and produces exponentially suppressed backreaction on the BTZ geometry, ensuring the smooth recovery of the Einstein limit. These results provide an analytically tractable realization of how higher-curvature corrections activate local gravitational dynamics in three dimensions.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"58 6","pages":""},"PeriodicalIF":2.8,"publicationDate":"2026-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10714-026-03567-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148172635","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Moriz L. Frauenberger, James D. E. Grant, Roland Steinbauer
{"title":"The failure of the Ehlers–Kundt conjecture in the impulsive case","authors":"Moriz L. Frauenberger, James D. E. Grant, Roland Steinbauer","doi":"10.1007/s10714-026-03565-8","DOIUrl":"10.1007/s10714-026-03565-8","url":null,"abstract":"<div><p>In 1962, Ehlers and Kundt conjectured that plane waves are the only class of complete Ricci-flat <i>pp</i>-waves, i.e. metrics on <span>({mathbb {R}}^4)</span> of the form </p><div><div><span>$$ ds^2=2du,dv+dx^2+dy^2+H(x,y,u)du^2,. $$</span></div></div><p>Recently, Flores and Sánchez gave a proof of the conjecture in the fundamental case of spatially polynomially bounded profile functions <i>H</i>. However, <i>impulsive</i> <i>pp</i>-waves, i.e. waves with concentrated profile functions of the form <span>(H(x,y,u)=f(x,y),delta (u))</span> (<span>(delta )</span>, the Dirac measure) have been found to be complete for arbitrary (smooth) spatial profile functions <i>f</i>. We summarise completeness results for several classes of impulsive wave spacetimes achieved during the last years and discuss them in the context of the Ehlers–Kundt conjecture.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"58 6","pages":""},"PeriodicalIF":2.8,"publicationDate":"2026-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10714-026-03565-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148172519","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Peter K. S. Dunsby, Maria-Alexia Caldis, Eduardo Bittencourt
{"title":"Cosmological perturbations in energy-momentum squared gravity","authors":"Peter K. S. Dunsby, Maria-Alexia Caldis, Eduardo Bittencourt","doi":"10.1007/s10714-026-03568-5","DOIUrl":"10.1007/s10714-026-03568-5","url":null,"abstract":"<div><p>We present a fully covariant and gauge–invariant analysis of linear cosmological perturbations in Energy-Momentum Squared Gravity. Working within the <span>(1!+!3)</span> formalism, we derive the exact propagation equations for scalar, vector, and tensor modes on FLRW backgrounds, in the case of radiation and dust. Two representative subclasses are examined in detail, in which non-linearity enters through <span>(mathcal {O}(eta rho ^2))</span> corrections or modifications in the equation-of-state parameter and the sound speed. For scalar perturbations, the density contrast can be enhanced or reduced relative to General Relativity, depending on the coupling parameter and the wavelength regime. A similar behavior occurs for vector modes, allowing for a non-trivial vorticity at early times. Tensor modes, described by the magnetic part of the Weyl tensor and the shear tensor propagate as damped waves with slowly varying effective masses. All sectors reduce continuously to their GR limits as <span>(eta !rightarrow !0)</span>. The framework isolates robust signatures—early-time scalar tilts, tensor damping shifts, and altered vorticity decay—that can be confronted with CMB and large-scale-structure observations to constrain these theories of gravity.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"58 6","pages":""},"PeriodicalIF":2.8,"publicationDate":"2026-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10714-026-03568-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148172520","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Hybrid generalized uncertainty relations from entanglement and minimal length","authors":"S. Hamid Mehdipour","doi":"10.1007/s10714-026-03566-7","DOIUrl":"10.1007/s10714-026-03566-7","url":null,"abstract":"<div><p>We develop a unified framework for hybrid generalized uncertainty relations (HGURs) that incorporates two fundamental and competing mechanisms: Planck-scale minimal-length effects encoded by the generalized uncertainty principle (GUP), and the suppression of quantum fluctuations induced by multipartite entanglement as described by generalized uncertainty relations (GURs). Focusing on ensembles of identical pure entangled (IPE) systems, we derive an exact variance-based HGUR valid for an arbitrary number of constituents. The resulting relation reveals a nontrivial interplay between gravity-induced amplification of uncertainty and entanglement-driven redistribution of quantum correlations, leading to an effective reduction of local uncertainties with increasing system size. In the symmetric limit, we identify a critical saturation regime in which the entanglement-induced suppression is exactly balanced by minimal-length corrections, establishing a fundamental bound on the reduction of quantum fluctuations in highly correlated quantum systems. We analyze the limiting behavior of the HGUR and discuss its conceptual implications for the emergence of classical spacetime, as well as potential applications to black hole thermodynamics, inflationary cosmology, and vacuum energy. Our results provide an information-theoretic bridge between quantum gravity effects and the suppression of quantum fluctuations at macroscopic scales.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"58 6","pages":""},"PeriodicalIF":2.8,"publicationDate":"2026-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148061241","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}
{"title":"Electromagnetic emission from a black-to-white hole transition - Photospheric emission","authors":"Mattia Villani","doi":"10.1007/s10714-026-03564-9","DOIUrl":"10.1007/s10714-026-03564-9","url":null,"abstract":"<div><p>We calculate the gamma ray emission from a black-to-white hole transition. We put forward a model for the prompt emission phase, based on the photospheric emission model with the underlying idea that the number of photons and leptons emitted by the white hole will be larger than the baryon content. We calculate the spectrum of the emitted radiation and give an estimate of the total energy emitted. Finally, we estimate the cosmological density of lunar mass primordial black holes.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"58 5","pages":""},"PeriodicalIF":2.8,"publicationDate":"2026-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148010072","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}
{"title":"Existence of uniform Temple charts and applications to null distance","authors":"B Meco, A Sakovich, C Sormani","doi":"10.1007/s10714-026-03563-w","DOIUrl":"10.1007/s10714-026-03563-w","url":null,"abstract":"<div><p>In this paper, we prove that Temple’s cylindrical future null coordinate charts can be constructed uniformly and we estimate the gradients of their optical functions. We then apply these charts to study a spacetime (<i>N</i>, <i>g</i>) that has been converted into a definite metric space <span>((N,hat{d}_tau ))</span>, where <span>(hat{d}_tau )</span> is the null distance of Sormani and Vega defined using a weak temporal function <span>(tau )</span>. In particular, we prove that <span>((N, hat{d}_tau ))</span> is a rectifiable metric space, where the causal structure is locally encoded by <span>(tau )</span> and <span>(hat{d}_tau )</span>. As a consequence, applying a classical theorem of Hawking and following a technique developed by Sakovich and Sormani, we can prove a Lorentzian isometry theorem, generalizing our earlier result.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"58 5","pages":""},"PeriodicalIF":2.8,"publicationDate":"2026-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10714-026-03563-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148009716","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Dynamical Evolutions of Electrically Charged Proca Stars","authors":"Yahir Mio, Miguel Alcubierre","doi":"10.1007/s10714-026-03560-z","DOIUrl":"10.1007/s10714-026-03560-z","url":null,"abstract":"<div><p>In a previous work we constructed different families of stationary electrically charged Proca stars characterized by a charge parameter <i>q</i>, by solving the Einstein–Maxwell–Proca system in spherical symmetry, and imposing a harmonic time dependence ansatz for the Proca field [1]. We showed that there is a critical value for the charge <span>(q_c)</span> that corresponds to the value for which the Coulomb repulsion of the charged Proca field exactly cancels the Newtonian gravitational attraction, and we found that supercritical solutions can only exist for a limited range of charges above this critical value <span>(q>q_c)</span>. Here we study the dynamical stability properties of these charged Proca stars by adding a small but finite perturbation to the original stationary configurations, and then performing numerical evolutions while keeping the spherical symmetry. We show that, for any given family, the parameter space can be separated into three regions corresponding to gravitationally bound stable configurations, gravitationally bound unstable configurations, and gravitationally unbound unstable configurations. For the unstable configurations we follow the evolution in time in order to determine their final state, and find that this final state can be collapse to a charged Reissner–Nordström black hole, migration to a new state in the stable branch, or dispersion to infinity, depending on the value of the binding energy and the specific form of the perturbation.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"58 5","pages":""},"PeriodicalIF":2.8,"publicationDate":"2026-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10714-026-03560-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148009461","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Cosmological evolution of a nonminimally coupled scalar field with hilltop potential","authors":"Yerlan Myrzakulov","doi":"10.1007/s10714-026-03549-8","DOIUrl":"10.1007/s10714-026-03549-8","url":null,"abstract":"<div><p>We investigate the cosmological dynamics of a nonminimally coupled scalar field model focusing on Hilltop potential with quadratic and quartic forms. We perform a comprehensive phase space analysis to identify the critical points and examine their stability properties. Our analysis shows that for both Hilltop quadratic and quartic potentials, there exist stable de Sitter attractors characterized by an equation of state parameter <span>(w_{phi }=-1)</span> and positive effective Newtonian gravitational constant <span>(G_{eff})</span>. In addition, we perform a perturbation analysis around the de-Sitter background to examine the stability of the solutions. The perturbation equations reveal that the de-Sitter solutions correspond to stable spiral attractors. These results demonstrate that Hilltop potentials within nonminimally coupled scalar field theories can naturally lead to a physically consistent late-time accelerated universe, overcoming limitations observed in earlier studies with monomial potentials.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"58 5","pages":""},"PeriodicalIF":2.8,"publicationDate":"2026-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148009410","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}
{"title":"Holographic Pressure and Extensivity of Rotating Black Holes at Finite Cutoff","authors":"Hoang Van Quyet","doi":"10.1007/s10714-026-03561-y","DOIUrl":"10.1007/s10714-026-03561-y","url":null,"abstract":"<div><p>We investigate the quasi-local thermodynamics of rotating Kerr-AdS black holes enclosed by a finite timelike boundary. By employing the Brown-York stress tensor, we define a holographic pressure <span>(mathcal {P})</span> and its conjugate area <span>(mathcal {A})</span> at a finite cutoff. We demonstrate that the inclusion of angular momentum introduces a momentum flux at the boundary, requiring a generalized first law of the form <span>(dE = T_{textrm{loc}}dS + Omega _{textrm{loc}}dJ - mathcal {P}dmathcal {A})</span>, where <span>(Omega _{textrm{loc}})</span> accounts for frame-dragging effects. A central result of our study is the analysis of the extensivity parameter <span>(eta )</span>. We show that while small rotating black holes exhibit non-extensive behavior due to gravitational self-interactions, extensivity is recovered in the large-size limit (<span>(r_{+} gg ell )</span>), where the system satisfies the Euler relation. These findings provide robust evidence for the fluid-gravity correspondence at finite cutoff and offer a new perspective on the thermodynamic structure of rotating holographic duals.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"58 5","pages":""},"PeriodicalIF":2.8,"publicationDate":"2026-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148009603","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}
Michele Lenzi, Guillermo A. Mena Marugán, Andrés Mínguez-Sánchez, Carlos F. Sopuerta
{"title":"Hamiltonian formalism, master functions and Darboux transformations for perturbed (Interiors and Exteriors of) nonrotating black holes","authors":"Michele Lenzi, Guillermo A. Mena Marugán, Andrés Mínguez-Sánchez, Carlos F. Sopuerta","doi":"10.1007/s10714-026-03559-6","DOIUrl":"10.1007/s10714-026-03559-6","url":null,"abstract":"<div><p>Motivated by their relevance to the interior of nonrotating black holes, classical and quantum Kantowski-Sachs cosmologies have recently attracted increasing attention. This interest has led to the development of a Hamiltonian formalism for axial and polar perturbations, which can be extended to applications in the exterior region. The formalism provides also a description of the background physical degrees of freedom. Moreover, it allows for the construction of all physical perturbative gauge invariants, which can be arranged into canonical pairs associated with master functions. In this work, we review the basis of this Hamiltonian formalism, putting the emphasis on its foundations and fundamental steps rather than on details of the involved calculations. Our discussion focuses on classical and effective aspects, although we also briefly comment on its natural role in the quantization of perturbed black holes. Adopting this formalism we present a geometric interpretation of Darboux transformations between pairs of master functions, characterizing them as generalized canonical transformations that preserve the Hamiltonian structure of the perturbations as harmonic oscillators subject to certain potentials. This bijective correspondence between such canonical transformations and Darboux transformations, which was recently proved to hold for axial perturbations, is here extended to the case of polar perturbations. In addition, we demonstrate the existence of canonical transformations that, similarly to Darboux transformations, mix axial and polar master functions.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"58 5","pages":""},"PeriodicalIF":2.8,"publicationDate":"2026-05-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148008761","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}