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We study black hole solutions in an extension of General Relativity (GR) with an explicit non-minimal coupling between matter and curvature. General black hole solutions satisfying the known energy conditions are derived including the ones…

General Relativity and Quantum Cosmology · Physics 2015-10-07 Orfeu Bertolami , Mariano Cadoni , Andrea Porru

We obtain a new exact solution of the 5D Einstein equations in vacuum describing a distorted Myers-Perry black hole with a single angular momentum. Locally, the solution is interpreted as a black hole distorted by a stationary $U(1)\times…

General Relativity and Quantum Cosmology · Physics 2015-04-08 Shohreh Abdolrahimi , Jutta Kunz , Petya Nedkova

The prediction of spacetime singularities, regions of infinite curvature where classical physics breaks down, is one of the most profound challenges in General Relativity (GR). In particular, black hole solutions such as the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2025-11-18 Jose Pinedo Soto

Perturbations of Schwarzschild-Droste black holes in the Regge-Wheeler gauge benefit from the availability of a wave equation and from the gauge invariance of the wave function, but lack smoothness. Nevertheless, the even perturbations…

General Relativity and Quantum Cosmology · Physics 2011-05-05 Sofiane Aoudia , Alessandro D. A. M. Spallicci

Exact solutions describing rotating black holes can offer important tests for alternative theories of gravity, motivated by the dark energy and dark matter problems. We present an analytic rotating black hole solution for a class of…

High Energy Physics - Theory · Physics 2018-04-10 Francesco Filippini , Gianmassimo Tasinato

We generalize to the Kerr spacetime existing self-force results on tidal invariants for particles moving along circular orbits around a Schwarzschild black hole. We obtain linear-in-mass-ratio corrections to the quadratic and cubic…

General Relativity and Quantum Cosmology · Physics 2018-09-26 Donato Bini , Andrea Geralico

A gravitational theory is formulated by considering the physical processes underlying relativistic dilation of time and contraction of space. It is shown that the point mass solution of general relativity's field equation - the…

General Relativity and Quantum Cosmology · Physics 2015-08-25 James W. Douglass

In this paper, a Lagrangian perturbation theory for the second order treatment of small disturbances of the event horizon in Schwarzchild black holes is introduced. The issue of gauge invariance in the context of general relativistic theory…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Nahid Ahmadi

The presence of extra dimensions generically modify the spacetime geometry of a rotating black hole, by adding an additional hair, besides the mass $M$ and the angular momentum $J$, known as the `tidal charge' parameter, $\beta$. In a…

General Relativity and Quantum Cosmology · Physics 2022-09-20 Akash K Mishra , Abhirup Ghosh , Sumanta Chakraborty

We study the bulk corresponding to tidal charged brane-world black holes. We employ a propagating algorithm which makes use of the three-dimensional multipole expansion and analytically yields the metric elements as functions of the…

High Energy Physics - Theory · Physics 2010-05-25 R. Casadio , O. Micu

We give a short introduction to the formalism of noncommutative (twisted) differential geometry that is used to derive the equations of motion for the gravitational perturbation of the Schwarzschild black hole in quantized spacetime.…

General Relativity and Quantum Cosmology · Physics 2024-10-02 Nikola Herceg , Tajron Jurić , A. Naveena Kumara , Andjelo Samsarov , Ivica Smolić

We provide a novel model of gravity by using adjoint frame fields in four dimensions. It has a natural interpretation as a gravitational theory of a complex metric field, which describes interactions between two real metrics. The classical…

High Energy Physics - Theory · Physics 2015-12-14 Zhi-Qiang Guo , Ivan Schmidt

We continue to study black holes subjected to strong sources of gravity, again paying special attention to the behaviour of geometry in the black-hole interior. After examining, in previous two papers, the deformation arising in the…

General Relativity and Quantum Cosmology · Physics 2019-05-21 O. Semerák , M. Basovník , P. Kotlařík

An exact gravitational instanton solution on a vacuum Kerr-like warped spacetime in conformal dilaton gravity is found. Remarkably, the metric solution results from a first-order PDE, allowing the connection with self-duality. The singular…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Reinoud Jan Slagter

We study black hole radiation of a Reissner-Nordstrom black hole with an electric charge in the framework of quantum gravity. Based on a canonical quantization for a spherically symmetric geometry, under physically plausible assumptions, we…

High Energy Physics - Theory · Physics 2015-03-19 Ichiro Oda

Recently, two kinds of deformed schwarzschild spacetime have been proposed, which are the black-bounces metric (\cite{2019JCAP...02..042S,2021PhRvD.103h4052L}) and quantum deformed black hole (BH) (\cite{2021arXiv210202471B}). In present…

General Relativity and Quantum Cosmology · Physics 2022-07-27 Zhaoyi Xu , Meirong Tang

In a previous paper, we developed tools for studying the horizon geometry of a Kerr black hole that is tidally distorted by a binary companion using techniques that require large mass ratios but can be applied to any bound orbit and allow…

General Relativity and Quantum Cosmology · Physics 2016-09-07 Stephen O'Sullivan , Scott A. Hughes

The most promising way to compute the gravitational waves emitted by binary black holes (BBHs) in their last dozen orbits, where post-Newtonian techniques fail, is a quasistationary approximation introduced by Detweiler and being pursued by…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Ilya Mandel

We construct a static, spherically symmetric black hole (BH) solution embedded within a dark matter (DM) halo, formulated as a non-vacuum extension of the Schwarzschild spacetime. The DM distribution is modeled via an empirical density…

General Relativity and Quantum Cosmology · Physics 2025-07-30 Francisco S. N. Lobo , Jorde A. A. Ramos , Manuel E. Rodrigues

We study global structures of black hole solutions in Einstein gravity with Gauss-Bonnet term coupled to dilaton in various dimensions. In particular we focus on the problem whether the singularity is weakened due to the Gauss-Bonnet term…

High Energy Physics - Theory · Physics 2010-12-09 Nobuyoshi Ohta , Takashi Torii