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The problem of the event horizon in relativistic gravity is discussed. Singular solutions in general relativity are well known. The Schwarschild metric of a spherical mass is singular at zero ($r = 0$) and at the event horizon ($r = r_g$).…

General Relativity and Quantum Cosmology · Physics 2022-11-22 Svetlana Andrusenko , Daniil Krichevskiy , Valentin Rudenko

The study of hyperbolic binary black hole encounters yields an effective probe of the strong field regime of black holes, thus providing an additional channel to test General Relativity. We study the scattering of two black holes in…

General Relativity and Quantum Cosmology · Physics 2026-05-07 Shaun Swain , Tamanna Jain , Llibert Aresté Saló

Since the full General Theory of Relativity has been unveiled to the scientific community in 1915, many solutions to the vacuum Einstein field equations have been found and studied. This paper aims at documenting exhaustively the derivation…

General Relativity and Quantum Cosmology · Physics 2020-02-18 Onur Uçanok

It has been suggested that amplitudes for quantum higher-spin massive particles exchanging gravitons lead, via a classical limit, to results for scattering of spinning black holes in general relativity, when the massive particles are in a…

General Relativity and Quantum Cosmology · Physics 2020-04-01 Nils Siemonsen , Justin Vines

We study propagation of high-frequency electromagnetic and gravitational waves in the gravitational field of a rotating black hole. Due to the interaction of the spin of the field with the spacetime curvature, the standard geometric optics…

General Relativity and Quantum Cosmology · Physics 2025-06-04 Valeri P. Frolov , Alex Koek

We construct a large class of dynamical vacuum black hole spacetimes whose exterior geometry asymptotically settles down to a fixed Schwarzschild or Kerr metric. The construction proceeds by solving a backwards scattering problem for the…

General Relativity and Quantum Cosmology · Physics 2025-09-30 Mihalis Dafermos , Gustav Holzegel , Igor Rodnianski

The galactic black hole is a supermassive black hole located at the center of a galaxy surrounded by a dark matter halo. For the first time, we establish a generic, fully-relativistic formalism to calculate solutions of Einstein's gravity…

General Relativity and Quantum Cosmology · Physics 2024-04-01 Chao Zhang , Guoyang Fu , Chunyu Zhang

Considerable attention has recently focused on gravity theories obtained by extending general relativity with additional scalar, vector, or tensor degrees of freedom. In this paper, we show that the black-hole solutions of these theories…

Astrophysics · Physics 2008-11-26 Dimitrios Psaltis , Delphine Perrodin , Keith R. Dienes , Irina Mocioiu

We present stationary and axially-symmetric black hole solutions to the Einstein field equations sourced by an anisotropic fluid, describing rotating black holes embedded in astrophysical environments. We compute their physical properties,…

General Relativity and Quantum Cosmology · Physics 2025-11-19 Pedro G. S. Fernandes , Vitor Cardoso

The Kerr metric is a vacuum solution of the Einstein equations outside of a rotating black hole, but what interior matter is actually rotating and sourcing the Kerr geometry? Here, we describe a rotating exotic matter which can source the…

General Relativity and Quantum Cosmology · Physics 2023-10-26 Ram Brustein , A. J. M. Medved

This is a study of the scattering and absorption of planar gravitational waves by a Kerr black hole in vacuum. We apply the partial wave method to compute cross sections for the special case of radiation incident along the rotation axis. A…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sam R. Dolan

The uniqueness and rigidity of black holes remain central themes in gravitational research. In this work, we investigate the construction of all extremal black hole solutions to the Einstein equation for a given near-horizon geometry,…

High Energy Physics - Theory · Physics 2026-02-06 Jan Gutowski , Chettha Saelim , Martin Wolf

In this paper, we consider the problems of spherical gravitational collapse and accretion using a spherically symmetric, spatially homothetic spacetime, that is, as an exact solution (cqg1) of the field equations of general relativity.…

Astrophysics · Physics 2007-05-23 Sanjay M Wagh

In the vicinity of black holes, the influence of strong gravity, plasma physics, and emission processes govern the behavior of the system. Since observations such as those carried out by the EHT are not yet able to unambiguously constrain…

High Energy Astrophysical Phenomena · Physics 2023-03-22 Jan Röder , Alejandro Cruz-Osorio , Christian M. Fromm , Yosuke Mizuno , Ziri Younsi , Luciano Rezzolla

The scattering of spinning test particles by a Schwarzschild black hole is studied. The motion is described according to the Mathisson-Papapetrou-Dixon model for extended bodies in a given gravitational background field. The equatorial…

General Relativity and Quantum Cosmology · Physics 2018-08-21 Donato Bini , Andrea Geralico

In this article we deduce two new exact solutions of Einstein's equations for eternal black holes, now related to stiff matter, one `static' and another rotating (stationary like the Kerr one), thus the number of these eternal solutions…

General Relativity and Quantum Cosmology · Physics 2012-10-19 Nikolai V. Mitskievich

We present the first exact and analytical solution in General Relativity describing an equilibrium configuration for two stationary black holes. The metric models two collinear extremal Kerr black holes immersed in an external and…

General Relativity and Quantum Cosmology · Physics 2025-09-23 Marco Astorino , Matilde Torresan

Generalizations of the Schwarzschild and Kerr black holes are discussed in an astrophysically viable generalized theory of gravity, which includes higher curvature corrections in the form of the Gauss-Bonnet term, coupled to a dilaton. The…

Gravitational lensing is a well known phenomenon predicted by the General Theory of Relativity. It is now a well-developed observational technique in astronomy and is considered to be a fundamental tool for acquiring information about the…

Astrophysics · Physics 2009-11-10 F. De Paolis , A. Geralico , G. Ingrosso , A. A. Nucita , A. Qadir

The orbital dynamics of fast spinning neutron stars encountering a massive Black Hole (BH) with unbounded orbits are investigated using the quadratic-in-spin Mathisson-Papapetrou- Dixon (MPD) formulation. We consider the motion of the…

High Energy Astrophysical Phenomena · Physics 2022-10-12 Kaye Jiale Li , Kinwah Wu , Po Kin Leung , Dinesh Singh