{"title":"Energy estimates for the good-bad-ugly model","authors":"Miguel Duarte","doi":"10.1007/s10714-025-03389-y","DOIUrl":"10.1007/s10714-025-03389-y","url":null,"abstract":"<div><p>We establish a relationship between the equations that constitute the so-called <i>good-bad-ugly model</i>, whose nonlinearities are known to mimic those present in the Einstein field equations in generalized harmonic gauge. This relationship between ugly fields and good and bad ones stems from the fact that one can write the equation for the rescaled derivative of an ugly along an incoming null direction as a good or a bad equation depending on whether there are source terms or not. This provides a new interpretation of the logarithms of the radial coordinate that show up in expansions of solutions to ugly equations near null infinity. This furthermore allows us to use the Klainerman-Sobolev inequality for the standard wave equation on Cauchy slices to show uniform boundedness for the ugly equation. In the second part of this paper we perform a first order reduction of the ugly equation with given sources in flat space and we radially compactify the coordinates in order to show an energy estimate for that equation on hyperboloidal slices. This result is an important first step towards establishing energy estimates for the hyperboloidal initial value problem of the first order compactified Einstein field equations in generalized harmonic gauge.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"57 3","pages":""},"PeriodicalIF":2.1,"publicationDate":"2025-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143583462","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}
Alexander Mora-Chaverri, Edwin Santiago-Leandro, Francisco Frutos-Alfaro
{"title":"Classical general relativity effects by magnetars with massive quadrupole, angular momentum and a magnetic dipole","authors":"Alexander Mora-Chaverri, Edwin Santiago-Leandro, Francisco Frutos-Alfaro","doi":"10.1007/s10714-025-03388-z","DOIUrl":"10.1007/s10714-025-03388-z","url":null,"abstract":"<div><p>In this contribution, we obtain classical tests of general relativity using the Hartle-Thorne metric endowed with magnetic dipole and electric charge. This metric represents the approximate stationary spacetime of a massive object with the other characteristics mentioned. These tests are light deflection, time delay, periastron precession, and gravitational redshift. We also provide numerical estimates for real magnetars and magnetar candidates from the McGill magnetar catalog, the millisecond pulsar PSR B1257+12 and for the Sun in low-activity cycles. Our results find that, although the magnetic dipole moment contribution tends to be negligible compared to the total amount, its comparison to the massive quadrupole moment and rotational contributions varies from one classical test to the next. For light deflection, the magnetic dipole contribution is about 2 orders of magnitude smaller, compared to the rotational contribution. The magnetic dipole moment contribution is present, but is about 6 orders of magnitude smaller than the second-order rotational contribution to the periastron precession, 5 orders of magnitude smaller for the time delay, and negligible within the approximation presented for the gravitational redshift. The magnetic dipole contribution for the calculations made with PSR B1257+12 was also negligible, but the rotational and quadrupole moment contributions were more significant, which makes the argument for possible future detection stronger than the magnetar case. The rotation, massive quadrupole moment and magnetic dipole contributions for the Sun turned out to be negligible as well.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"57 3","pages":""},"PeriodicalIF":2.1,"publicationDate":"2025-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143583461","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":"The non-linear regime of gravity","authors":"Luis Lehner","doi":"10.1007/s10714-025-03377-2","DOIUrl":"10.1007/s10714-025-03377-2","url":null,"abstract":"<div><p>In the second century of General Relativity, building upon the exquisite foundation that analytical and perturbative studies have provided, the detailed understanding of the non-linear regime of gravity will increasingly take a prominent role. Fueled in part by computational advances as well as observational challenges, and drawing inspiration and tools from other areas in physics, new insights will be unraveled and likely exciting surprises.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"57 3","pages":""},"PeriodicalIF":2.1,"publicationDate":"2025-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143546447","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":"Constraining extended Proca-Nuevo theory through big bang nucleosynthesis","authors":"N. S. Kavya, L. Sudharani, V. Venkatesha","doi":"10.1007/s10714-025-03386-1","DOIUrl":"10.1007/s10714-025-03386-1","url":null,"abstract":"<div><p>This study explores a covariant extension of the Proca framework, incorporating nonlinear terms for a massive spin-1 field while ensuring consistency and ghost-free behavior. Coupled with gravity, this effective extended Proca-Nuevo model provides viable cosmological solutions, constrained by Big Bang Nucleosynthesis observations. By enforcing <span>( |Delta T_f / T_f| < 4.7 times 10^{-4} )</span>, the model parameter <span>(Lambda )</span> is restricted to the range <span>( Lambda in left( -2.80025 times 10^{-4}, , 2.80025 times 10^{-4}right) )</span>. This correction supports a consistent description of the Big Bang Nucleosynthesis era, effectively aligning the freeze-out temperature predictions with observational bounds and the constrained Hubble function predicting accelerated expansion across all redshifts. These findings highlight the potential of extended Proca-Nuevo theories in bridging modified gravity and Effective Field Theory, providing the aspects of early-time cosmology.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"57 3","pages":""},"PeriodicalIF":2.1,"publicationDate":"2025-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143517944","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":"Quantum two-level systems and gravitational waves","authors":"Matteo Luca Ruggiero","doi":"10.1007/s10714-025-03385-2","DOIUrl":"10.1007/s10714-025-03385-2","url":null,"abstract":"<div><p>We study the interaction between gravitational waves and a quantum two-level system consisting of a spin 1/2 particle using the formalism of the proper detector frame. This approach highlights the effects of gravitational waves on both the particles and the observer, emphasizing that only relative measurements can be made. Specifically, within this framework, the gravitational field of the waves is described using the gravitoelectromagnetic analogy. The interaction of the system is then determined by the gravitomagnetic field of the wave, which induces a time-dependent perturbation. We analyze this perturbation for both generic frequencies and resonance conditions, and discuss its implications.\u0000\u0000\u0000</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"57 2","pages":""},"PeriodicalIF":2.1,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143475292","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":"Mukkamala-Pereñiguez master function for even-parity perturbations of the Schwarzschild spacetime","authors":"Eric Poisson","doi":"10.1007/s10714-025-03384-3","DOIUrl":"10.1007/s10714-025-03384-3","url":null,"abstract":"<div><p>Mukkamala and Pereñiguez recently discovered a new master function for even-parity metric perturbations of the Schwarzschild spacetime. Remarkably, this function satisfies the Regge–Wheeler equation (instead of the Zerilli equation), which was previously understood to govern the odd-parity sector of the perturbation only. In this paper I follow up on their work. First, I identify a source term for their Regge–Wheeler equation, constructed from the perturbing energy-momentum tensor. Second, I relate the new master function to the radiation fields at future null infinity and the event horizon. Third, I reconstruct the metric perturbation from the new master function, in the Regge–Wheeler gauge. The main conclusion of this work is that the greater simplicity of the Regge–Wheeler equation (relative to the Zerilli equation) is offset by a greater complexity of obtaining the radiation fields and reconstructing the metric.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"57 2","pages":""},"PeriodicalIF":2.1,"publicationDate":"2025-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143465950","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":"Observational and theoretical aspects of superspinars","authors":"Ramón Torres","doi":"10.1007/s10714-025-03383-4","DOIUrl":"10.1007/s10714-025-03383-4","url":null,"abstract":"<div><p>This article delves into the observational signatures and theoretical underpinnings of rotating astrophysical objects, with a particular focus on superspinars -exotic objects characterized by preventing the formation of event horizons due to their high angular momentum. While solutions within General Relativity (<i>Kerr superspinars</i>) predict such objects, their classical forms harbor naked singularities, violate causality, and exhibit problematic repulsive gravitational effects. These characteristics render classical superspinars theoretically objectionable, leading to the consideration of them as physically implausible. On the other hand, the incompatibility between General Relativity and Quantum Mechanics suggests the exploration of alternative models, particularly those in which Quantum Gravity dominates the core and prevents the formation of scalar curvature singularities. This work demonstrates that superspinars without scalar curvature singularities can avoid all the complications associated with Kerr superspinars. Moreover, from a phenomenological standpoint, it is shown that the silhouettes of these superspinars could be markedly distinct from those of black holes and classical Kerr superspinars. To substantiate these differences, we perform a comprehensive analysis of inner null geodesics and investigate the structure of the Planckian region within superspinars without scalar curvature singularities. Our study reveals that only these superspinars provide the potential for distant observers to directly observe the extremely high curvature regions within their interiors.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"57 2","pages":""},"PeriodicalIF":2.1,"publicationDate":"2025-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143455494","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":"Galactic black hole immersed in a dark halo with its surrounding thin accretion disk","authors":"Mohaddese Heydari-Fard, Malihe Heydari-Fard, Nematollah Riazi","doi":"10.1007/s10714-025-03382-5","DOIUrl":"10.1007/s10714-025-03382-5","url":null,"abstract":"<div><p>By considering the analytic, static and spherically symmetric solution for the Schwarzschild black holes immersed in dark matter fluid with non-zero tangential pressure (Jusufi in Eur Phys J C 83:103, 2023) and Hernquist-type density profiles (Cardoso in Phys Rev D 105:L061501, 2022), we compute the luminosity of accretion disk. We study the circular motion of test particles in accretion disk and calculate the radius of the innermost stable circular orbits. Using the steady-state Novikov-Thorne model we also compute the observational characteristics of such black hole’s accretion disk and compare our results with the usual Schwarzschild black hole in the absence of dark matter fluid. We find that the tangential pressure plays a significant role in decreasing the size of the innermost stable circular orbits and thus increases the luminosity of black hole’s accretion disk.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"57 2","pages":""},"PeriodicalIF":2.1,"publicationDate":"2025-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143455493","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":"Black hole evaporation in loop quantum gravity","authors":"Abhay Ashtekar","doi":"10.1007/s10714-025-03380-7","DOIUrl":"10.1007/s10714-025-03380-7","url":null,"abstract":"<div><p>The conference <i>Black Holes Inside and Out</i> marked the 50th anniversary of Hawking’s seminal paper on black hole radiance. It was clear already from Hawking’s analysis that a proper quantum gravity theory would be essential for a more complete understanding of the evaporation process. This task was undertaken in loop quantum gravity (LQG) 2 decades ago and by now the literature on the subject is quite rich. The goal of this contribution is to summarize a mainstream perspective that has emerged. The intended audience is the broader gravitational physics community, rather than quantum gravity experts. Therefore, the emphasis is on conceptual issues, especially on the key features that distinguish the LQG approach, and on concrete results that underlie the paradigm that has emerged. This is <i>not</i> meant to be an exhaustive review. Rather, it is a broad-brush stroke portrait of the present status. Further details can be found in the references listed.\u0000</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"57 2","pages":""},"PeriodicalIF":2.1,"publicationDate":"2025-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143438604","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":"Formation of singularity and apparent horizon for dissipative collapse in f(R, T) theory of gravity","authors":"Uttaran Ghosh, Sarbari Guha","doi":"10.1007/s10714-025-03379-0","DOIUrl":"10.1007/s10714-025-03379-0","url":null,"abstract":"<div><p>In this paper, we consider the spherically symmetric gravitational collapse of isotropic matter undergoing dissipation in the form of heat flux, with a generalized Vaidya exterior, in the context of <i>f</i>(<i>R</i>, <i>T</i>) gravity. Choosing <span>(f(R, T)=R+2lambda T)</span>, and applying the <i>f</i>(<i>R</i>, <i>T</i>) junction conditions on the field equations for the interior and exterior regions, we have obtained matching conditions of the matter-Lagrangian and its derivatives across the boundary. The time of formation of singularity and the time of formation of apparent horizon have been determined and constraints on the integration constants are examined for which the final singularity is hidden behind the horizon.\u0000</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"57 2","pages":""},"PeriodicalIF":2.1,"publicationDate":"2025-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143438675","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}