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Gravitational waves detected by advanced ground-based detectors have allowed studying the universe in a way which is fully complementary to electromagnetic observations. As more sources are detected, it will be possible to measure…

General Relativity and Quantum Cosmology · Physics 2018-07-25 Salvatore Vitale , Chris Whittle

In this paper we investigate gravitational perturbations of a regular black hole, particularly Bardeen solution. Such system is solution of Einstein equations that do not have a singularity at the origin of the radial symmetry. However it…

General Relativity and Quantum Cosmology · Physics 2014-07-17 S. C. Ulhoa

We introduce a procedure to determine the size and shape of normal neighborhoods in any spacetimes and their dependence on the precision of the measurements performed by arbitrary observers. As an example, we consider the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2020-11-02 Bruno Hoegl , Stefan Hofmann , Maximilian Koegler

We show how Event Horizon Telescope (EHT) observations of the supermassive object at the center of M87 can constrain deviations from General Relativity (GR) in a relatively model-independent way. We focus on the class of theories whose…

General Relativity and Quantum Cosmology · Physics 2020-08-26 Markus Rummel , C. P. Burgess

We use the data of several promising gravitational wave observations to obtain increasingly stringent bounds on near-horizon deviations of their sources from the Kerr geometry. A range of horizonless compact objects proposed as alternatives…

General Relativity and Quantum Cosmology · Physics 2026-01-21 Rajrupa Mondal , Julian Westerweck , Yotam Sherf , Collin D. Capano , Ram Brustein

We develop a new method for calculation of quasi-normal modes of black holes, when the effective potential, which governs black hole perturbations, is known only numerically in some region near the black hole. This method can be applied to…

General Relativity and Quantum Cosmology · Physics 2009-11-11 R. A. Konoplya , A. Zhidenko

GR and other metric theories of gravity are formulated with an arbitrary auxiliary curved background in a Lagrangian formalism. A new sketch of how to include spinor fields is included. Conserved quantities are obtained using Noether's…

General Relativity and Quantum Cosmology · Physics 2020-04-23 A. N. Petrov , J. Brian Pitts

We investigate a static, spherically symmetric black hole solution arising from Einstein gravity coupled to a confining nonlinear electrodynamics model that reproduces Maxwell theory in the strong-field regime while introducing…

High Energy Astrophysical Phenomena · Physics 2025-12-23 Erdem Sucu , Izzet Sakallı , Orhan Donmez , G. Mustafa

Getting the mathematical rules for quantised black holes correctly is far from straightforward. Many earlier treatises got it not quite correctly. The general relativistic transformation linking the distant observer (who only detects…

General Relativity and Quantum Cosmology · Physics 2019-02-28 Gerard t Hooft

General relativity has passed all solar system experiments and neutron star based tests, such as binary pulsar observations, with flying colors. A more exotic arena for testing general relativity is in systems that contain one or more black…

General Relativity and Quantum Cosmology · Physics 2016-02-19 Kent Yagi , Leo C. Stein

Testing gravity theory in the strong field region becomes a reality due to the observations of gravitational waves and black hole shadows. In this paper, we discuss how to constrain the possible deviations of the classical general…

General Relativity and Quantum Cosmology · Physics 2019-09-10 S. X. Tian , Zong-Hong Zhu

It is shown that the axial and polar perturbations of the spherically symmetric black hole can be described in a gauge-invariant way. The reduced phase space describing gravitational waves outside of the horizon is described by the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Jacek Jezierski

The event horizon of a black hole in general relativity absorbs all infalling radiation. Any observation of the contrary would immediately challenge the expectation that astrophysical black holes are described by the vacuum Kerr geometry.…

General Relativity and Quantum Cosmology · Physics 2021-08-25 Kwinten Fransen , Gideon Koekoek , Rob Tielemans , Bert Vercnocke

We solve the geodesic deviation equations for the orbital motions in the Schwarzschild metric which are close to a circular orbit. It turns out that in this particular case the equations reduce to a linear system, which after…

General Relativity and Quantum Cosmology · Physics 2009-11-07 R. Kerner , J. W. van Holten , R. Colistete

We continue the study of the non-metric theory of gravity introduced in hep-th/0611182 and gr-qc/0703002 and obtain its general spherically symmetric vacuum solution. It respects the analog of the Birkhoff theorem, i.e., the vacuum…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Kirill Krasnov , Yuri Shtanov

Electromagnetic observations have been used over the past decades to understand the nature of black holes and the material around them. Our ability to learn about the fundamental physics relies on our understanding of two key ingredients in…

General Relativity and Quantum Cosmology · Physics 2019-07-24 Alejandro Cardenas-Avendano , Jaxen Godfrey , Nicolas Yunes , Anne Lohfink

We wish to study an application of Stueckelberg's relativistic quantum theory in the framework of general relativity. We study the form of the wave equation of a massive body in the presence of a Schwarzschild gravitational field. We treat…

General Relativity and Quantum Cosmology · Physics 2015-05-19 D. M. Ludwin , L. P. Horwitz

Recently, two models of quantum-corrected Schwarzschild-like black holes were developed within Effective Quantum Gravity, and the spectra of bosonic perturbations have been analyzed in several recent studies. In this work, we investigate…

General Relativity and Quantum Cosmology · Physics 2025-05-08 Zainab Malik

The space based interferometer LISA will be capable of detecting the gravitational waves emitted by stellar mass black holes or neutron stars slowly inspiralling into the supermassive black holes found in the centre of most galaxies. The…

General Relativity and Quantum Cosmology · Physics 2017-09-14 Christopher J. Moore , Alvin J. K. Chua , Jonathan R. Gair

Quasinormal modes in the high frequency (eikonal) regime can be obtained analytically as the Mashhoon-Will-Schiutz WKB formula is exact in this case. This regime is interesting because of the correspondence between eikonal quasinormal modes…

General Relativity and Quantum Cosmology · Physics 2019-09-04 M. S. Churilova
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