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Einstein's equation could be interpreted as the first law of thermodynamic near the spherically symmetric horizon. Through recalling the Einstein gravity with a more general static spherical symmetric metric, we find that the entropy would…

General Relativity and Quantum Cosmology · Physics 2018-03-13 Miao He , Zi-Liang Wang , Chao Fang , Dao-Quan Sun , Jian-Bo Deng

A class of metrics solving Einstein's equations with negative cosmological constant and representing rotating, topological black holes is presented. All such solutions are in the Petrov type-$D$ class, and can be obtained from the most…

General Relativity and Quantum Cosmology · Physics 2014-11-17 D. Klemm , V. Moretti , L. Vanzo

We introduce a two-step procedure for finding Kerr-type rotating black hole solutions without tears. Considering the low-energy sector of Horava gravity as a viable Lorentz-violating gravity in four dimensions which admits a different speed…

High Energy Physics - Theory · Physics 2024-08-15 Deniz O. Devecioglu , Mu-In Park

Among various strong-curvature extensions to General Relativity, Einstein-Dilaton-Gauss-Bonnet gravity stands out as the only nontrivial theory containing quadratic curvature corrections while being free from the Ostrogradsky instability to…

General Relativity and Quantum Cosmology · Physics 2018-03-05 Andrea Maselli , Paolo Pani , Leonardo Gualtieri , Valeria Ferrari

We study black hole solutions in general relativity coupled to a unit timelike vector field dubbed the "aether". To be causally isolated a black hole interior must trap matter fields as well as all aether and metric modes. The theory…

General Relativity and Quantum Cosmology · Physics 2010-03-30 Christopher Eling , Ted Jacobson

We consider several different classes of asymptotically flat, rotating black objects in d = 5 Einstein-Gauss-Bonnet (EGB) theory. These are first the black holes with two equal-magnitude angular momenta, in which case extremal…

General Relativity and Quantum Cosmology · Physics 2023-03-23 Burkhard Kleihaus , Jutta Kunz , Eugen Radu

This paper presents a new metric and studies slowly rotating Gauss-Bonnet black holes with one nonvanishing angular momentum in five dimensional anti-de Sitter spaces. Taking the angular momentum parameter $a$ up to second order, the slowly…

General Relativity and Quantum Cosmology · Physics 2011-10-04 Rui-Hong Yue , De-Cheng Zou , Tian-Yi Yu , Zhan-Ying Yang

We introduce a minimally coupled dark sector based on a nonlinear electrodynamics to generate regular spacetime textures that interpolate from a regular core to an asymptotic Lorentz-violating conical geometry. This construction provides a…

General Relativity and Quantum Cosmology · Physics 2026-05-28 Zhi-Chao Li , H. Lu

Supported by the use of a regular scalar field we find a black hole solution in the Einstein-Gauss-Bonnet model. From the obtained solution we can recover the Schwarzschild black hole as in other works. Later, by implementing the odd parity…

General Relativity and Quantum Cosmology · Physics 2019-07-16 Gilberto Aguilar-Pérez , Miguel Cruz , Samuel Lepe , Israel Moran-Rivera

One proposal by Verlinde \cite{Verlinde:2010hp} is that gravity is not a fundamental, but an entropic force. In this way, Verlinde has provide us with a way to derive the Newton's law of gravitation from the Bekenstein-Hawking entropy-area…

General Relativity and Quantum Cosmology · Physics 2016-06-22 R. G. L. Aragão , C. A. S. Silva

We explored how the Lorentz symmetry breaking parameter $\ell$ affects the Reissner-Nordst\"{o}m BH solution in the context of weak field deflection angle, and the black hole shadow. We aim to derive the general expression for the weak…

General Relativity and Quantum Cosmology · Physics 2025-03-17 Gaetano Lambiase , Reggie C. Pantig , Ali Övgün

In the context of $f(R)$ theories of gravity, we address the problem of finding static and spherically symmetric black hole solutions. Several aspects of constant curvature solutions with and without electric charge are discussed. We also…

General Relativity and Quantum Cosmology · Physics 2010-01-15 A. de la Cruz-Dombriz , A. Dobado , A. L. Maroto

The gravitational consequence of local Lorentz violation (LV) should show itself in derivation of the characteristic quasinormal ringing of black hole mergers from their general relativity case. In this paper, we study quasinormal modes…

General Relativity and Quantum Cosmology · Physics 2017-11-22 Chikun Ding

We study linear perturbations about non rotating black hole solutions in scalar-tensor theories, more specifically Horndeski theories. We consider two particular theories that admit known hairy black hole solutions. The first one,…

General Relativity and Quantum Cosmology · Physics 2022-11-03 David Langlois , Karim Noui , Hugo Roussille

In a recent paper[1], it has been shown that, there cannot be any rotating (Kerr) Black Hole (BH) with finite mass in order that the generic properties associated with the symmetries of stationary axisymmetric Einstein equations are obeyed,…

Astrophysics · Physics 2016-08-30 Abhas Mitra

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

We find static spherically symmetric solutions of scale invariant $R^2$ gravity. The latter has been shown to be equivalent to General Relativity with a positive cosmological constant and a scalar mode. Therefore, one expects that solutions…

High Energy Physics - Theory · Physics 2015-02-23 Alex Kehagias , Costas Kounnas , Dieter Lust , Antonio Riotto

We investigate the role of Lorentz violation in the acceleration radiation produced when an atom falls into a Kalb-Ramond (KR) black hole and observe that the amplitude and an exponential (Planck-like) factor are both shaped by the…

High Energy Physics - Theory · Physics 2025-06-03 Anisur Rahaman

In this paper, we present a rotating de Rham-Gabadadze-Tolley black hole with a positive cosmological constant in massive gravity, achieved by applying a modified Newman-Janis algorithm. The black hole exhibits stable orbits of constant…

General Relativity and Quantum Cosmology · Physics 2023-07-28 Mohsen Fathi , J. R. Villanueva , Norman Cruz

We analyze the tensor mode perturbations of static, spherically symmetric solutions of the Einstein equations with a quadratic Gauss-Bonnet term in dimension $D > 4$. We show that the evolution equations for this type of perturbations can…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Gustavo Dotti , Reinaldo J. Gleiser
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