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Observations of the continuum spectrum emitted by accretion disks around black holes allows us to infer their properties, including possibly whether black holes are described by the Kerr metric. Some modified gravity theories do not admit…

General Relativity and Quantum Cosmology · Physics 2017-05-22 Dimitry Ayzenberg , Nicolas Yunes

We carefully investigate, extend, and shed new light on the McVittie exact solution of Einstein's gravity (EG) with the focus on the implications in the Universe we live in. It turns out that the only known exact solution of EG, which…

General Relativity and Quantum Cosmology · Physics 2025-10-07 Leonardo Modesto , Edoardo Rattu

We construct series of solutions for the Kerr-type rotating black hole with non-trivial matter in flat and (A)dS backgrounds. Symmetry arguments and singularity analysis in the proposed black hole models fix the free parameters of the…

High Energy Physics - Theory · Physics 2024-11-13 A. J. Nurmagambetov

Recently, a generalised solution for Einstein equations of a rotating compact body, surrounded by matter field was proposed, which is the Kerr-Newman spacetime with an anisotropic matter. The solution possesses an additional hair, along…

General Relativity and Quantum Cosmology · Physics 2021-03-12 C. L. Ahmed Rizwan , A. Naveena Kumara , Kartheek Hegde , Md Sabir Ali , Ajith K. M

Quantum Gravity is expected to resolve the singularities of classical General Relativity. Based on destructive interference of singular spacetime-configurations in the path integral, we find that higher-order curvature terms may allow to…

General Relativity and Quantum Cosmology · Physics 2020-12-17 Johanna N. Borissova , Astrid Eichhorn

Detailed observations of phenomena involving black holes, be it via gravitational waves or more traditional electromagnetic means, can probe the strong field regime of the gravitational interaction. The prediction of features in such…

General Relativity and Quantum Cosmology · Physics 2020-02-19 Andrew Sullivan , Nicolás Yunes , Thomas P. Sotiriou

These notes, based on lectures given at the summer school on Asymptotic Analysis in General Relativity, collect material on the Einstein equations, the geometry of black hole spacetimes, and the analysis of fields on black hole backgrounds.…

General Relativity and Quantum Cosmology · Physics 2016-10-13 Lars Andersson , Thomas Bäckdahl , Pieter Blue

We solve the elliptic equations associated with the Hamiltonian and momentum constraints, corresponding to a system composed of two black holes with arbitrary linear and angular momentum. These new solutions are based on a Kerr-Schild…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Pedro Marronetti , Richard A. Matzner

Fitting the thermal continuum emission of accreting black holes observed across X-ray bands represents one of the principle means of constraining the properties (mass and spin) of astrophysical black holes. Recent ''continuum fitting''…

General Relativity and Quantum Cosmology · Physics 2023-11-28 Andrew Mummery , Steven Balbus , Adam Ingram

To have the correct picture of a black hole as a whole it is of crucial importance to understand its interior. The singularities that lurk inside the horizon of the usual Kerr-Newman family of black hole solutions signal an endpoint to the…

General Relativity and Quantum Cosmology · Physics 2011-06-13 José P. S. Lemos , Vilson T. Zanchin

Regular rotating black holes are usually described by a metric of the Kerr-Schild form with a particular mass function that is chosen to avoid the ring singularity of the Kerr metric and which approaches the Kerr metric at the asymptotic…

General Relativity and Quantum Cosmology · Physics 2025-04-01 Marcos L. W. Basso , Vilson T. Zanchin

The accretion disk around a black hole and its emissions play an essential role in theoretical analysis of the black hole image. In the literature, two analytical toy models of accretions are widely adopted: the spherical model and the thin…

General Relativity and Quantum Cosmology · Physics 2025-03-13 Zhi-Shuo Qu , Towe Wang , Chao-Jun Feng

Solutions to Einstein's field equations describing rotating fluid bodies in equilibrium permit parametric (i.e. quasi-stationary) transitions to the extreme Kerr solution (outside the horizon). This has been shown analytically for discs of…

General Relativity and Quantum Cosmology · Physics 2011-04-28 Andreas Kleinwächter , Hendrick Labranche , Reinhard Meinel

In this paper, we use a suitable conformal rescaling to construct static and rotating regular black holes in conformal massive gravity. The new metric is characterized by the mass $M$, the "scalar charge" $Q$, the angular momentum parameter…

General Relativity and Quantum Cosmology · Physics 2020-02-18 Kimet Jusufi , Mubasher Jamil , Hrishikesh Chakrabarty , Qiang Wu , Cosimo Bambi , Anzhong Wang

In recent years there have appeared in the literature a large number of static, spherically symmetric metrics, which are regular at the origin, asymptotically flat, and have both an event and a Cauchy horizon for certain range of the…

General Relativity and Quantum Cosmology · Physics 2017-06-13 J. Ponce de Leon

In this paper, we investigate static spherically symmetric solutions in the context of Conformal Killing Gravity, a recently proposed modified theory of gravity that offers a new approach to the cosmological constant problem. Coupling this…

The nonlinear Maxwell Lagrangian preserving both conformal and SO(2) duality-rotation invariance has been introduced very recently. Here, in the context of Einstein's theory of gravity minimally coupled with this nonlinear electrodynamics,…

General Relativity and Quantum Cosmology · Physics 2021-03-17 Z. Amirabi , S. Habib Mazharimousavi

The recent gravitational wave observations by the LIGO/Virgo collaboration have allowed the first tests of General Relativity in the extreme gravity regime, when comparable-mass black holes and neutron stars collide. Future space-based…

General Relativity and Quantum Cosmology · Physics 2018-07-03 Alejandro Cardenas-Avendano , Andres F. Gutierrez , Leonardo A. Pachon , Nicolas Yunes

Based on the Newman-Janis algorithm the Ayon-Beato-Garcia spacetime metric of the regular spherically symmetric, static and charged black hole has been converted into rotational form. It is shown that the derived solution for rotating…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Bobir Toshmatov , Bobomurat Ahmedov , Ahmadjon Abdujabbarov , Zdenek Stuchlik

We propose a novel black hole model in which singular and regular black holes are combined as a whole and more precisely singular and regular black holes are regarded as different states of parameter evolution. We refer to them as singular…

General Relativity and Quantum Cosmology · Physics 2023-11-20 Han-Wen Hu , Chen Lan , Yan-Gang Miao