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We derive new exact charged $d$-dimensional black hole solutions for quadratic teleparallel equivalent gravity, $f({\cal T})=a_0+a_1{\cal T}+a_2{\cal T}^2$, where $\cal T$ is the torsion scalar, in the case of non-linear electrodynamics. We…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Salvatore Capozziello , Gamal G. L. Nashed

The existence of current-time universe's acceleration is usually modeled by means of two main strategies. The first makes use of a dark energy barotropic fluid entering \emph{by hand} the energy-momentum tensor of Einstein's theory. The…

General Relativity and Quantum Cosmology · Physics 2015-07-24 Orlando Luongo , Hernando Quevedo

We study various definitions of the gravitational field energy based on the usage of isometric embeddings in the Regge-Teitelboim approach. For the embedding theory we consider the coordinate translations on the surface as well as the…

General Relativity and Quantum Cosmology · Physics 2017-10-10 D. A. Grad , R. V. Ilin , S. A. Paston , A. A. Sheykin

Electrically charged solutions for gravity with a conformally coupled scalar field are found in four dimensions in the presence of a cosmological constant. If a quartic self-interaction term for the scalar field is considered, there is a…

High Energy Physics - Theory · Physics 2008-11-26 Cristian Martinez , Juan Pablo Staforelli , Ricardo Troncoso

We calculate the gravitational energy spectrum of the perturbations of a Schwarzschild black hole described by quasinormal modes, in the framework of the teleparallel equivalent of general relativity (TEGR). We obtain a general formula for…

General Relativity and Quantum Cosmology · Physics 2021-04-19 J. W. Maluf , S. C. Ulhoa , F. L. Carneiro , K. H. C. Castello-Branco

We justify the applicability of the background subtraction method to both Einstein's gravity and its higher derivative corrections in 5-dimensional asymptotically AdS spacetimes, where the corresponding higher derivative corrections to the…

High Energy Physics - Theory · Physics 2026-01-05 Gerui Chen , Xiyao Guo , Xin Lan , Hongbao Zhang , Wei Zhang

Using a nonlinear electrodynamics coupled to teleparallel theory of gravity, three regular charged spherically symmetric solutions are obtained. The nonlinear theory reduces to the Maxwell one in the weak limit and the solutions correspond…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Gamal G. L. Nashed

We present a class of asymptotically anti-de Sitter charged rotating black hole solutions in $f(T)$ gravity in $N$-dimensions, where $f(T)=T+\alpha T^{2}$. These solutions are nontrivial extensions of the solutions presented in…

General Relativity and Quantum Cosmology · Physics 2019-08-29 A. M. Awad , G. G. L. Nashed , W. El Hanafy

Holography relates gravitational theories in five dimensions to four-dimensional quantum field theories in flat space. Under this map, the equation of state of the field theory is encoded in the black hole solutions of the gravitational…

High Energy Physics - Theory · Physics 2025-08-28 Yago Bea , Raul Jimenez , David Mateos , Shuheng Liu , Pavlos Protopapas , Pedro Tarancón-Álvarez , Pablo Tejerina-Pérez

We consider gravity in three dimensions with an arbitrary number of curvature corrections. We show that such corrections are always functions of only three independent curvature invariants. Demanding the existence of a holographic c-theorem…

High Energy Physics - Theory · Physics 2010-11-11 Miguel F. Paulos

This is the main paper of a series establishing the linear stability of Schwarzschild-Anti-de Sitter (AdS) black holes to gravitational perturbations. Specifically, we prove that solutions to the linearisation of the Einstein equations…

General Relativity and Quantum Cosmology · Physics 2024-08-06 Olivier Graf , Gustav Holzegel

We study the thermodynamics of $AdS_4$ black hole solutions of Einstein-Maxwell theory that are accelerating, rotating, and carry electric and magnetic charges. We focus on the class for which the black hole horizon is a spindle and can be…

High Energy Physics - Theory · Physics 2021-11-03 Davide Cassani , Jerome P. Gauntlett , Dario Martelli , James Sparks

In this work, we consider the effects of repulsive gravity in an invariant way for four static 3D regular black holes, using the eigenvalues of the Riemann curvature tensor, the Ricci scalar, and the strong energy conditions. The…

General Relativity and Quantum Cosmology · Physics 2023-11-23 Orlando Luongo , Hernando Quevedo , S. N. Sajadi

In the case of a large class of static spherically symmetric black hole solutions in higher order modified gravity models, an expression for the associated energy is proposed and identified as a quantity proportional to the constant of…

General Relativity and Quantum Cosmology · Physics 2011-08-08 Guido Cognola , Olesya Gorbunova , Lorenzo Sebastiani , Sergio Zerbini

We formulate the classical gravitational entropy of a horizon as a Noether charge that does not require the notion of a temperature, and which is applicable to horizons that are not necessarily associated with black holes. This introduces a…

High Energy Physics - Theory · Physics 2025-10-06 Sangmin Choi , Malcolm J. Perry

In this work we derive a generalized Newtonian gravitational force and show that it can account for the anomalous galactic rotation curves. We derive the entropy-area relationship applying the Feynman-Hibbs procedure to the supersymmetric…

General Relativity and Quantum Cosmology · Physics 2018-02-26 I. Díaz-Saldaña , J. C. López-Domínguez , M. Sabido

This dissertation consists of four parts. In Part I, we briefly review fundamental theories of gravity, performed experimental tests, and gravitational waves. The framework and the methods that we use in our calculations are discussed in…

General Relativity and Quantum Cosmology · Physics 2013-08-27 Saeed Mirshekari

We study the properties of anti--de Sitter black holes with a Gauss-Bonnet term for various horizon topologies (k=0, \pm 1) and for various dimensions, with emphasis on the less well understood k=-1 solution. We find that the zero…

High Energy Physics - Theory · Physics 2009-11-10 Ishwaree P. Neupane

Superradiance is known as a wave amplification process caused by rotating or charged black holes. We argue that the superradiance of stationary black holes in asymptotically AdS spacetimes can be characterized by the ability of energy…

High Energy Physics - Theory · Physics 2022-10-19 Takaaki Ishii , Youka Kaku , Keiju Murata

The self-gravitational correction to a localized spherically-symmetric static energy distribution is obtained from energetically self-consistent upgraded Newtonian gravitational theory. The result is a gravitational redshift factor that is…

General Physics · Physics 2014-01-28 Steven Kenneth Kauffmann