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We consider electrovacuum black hole spacetimes in classical extensions of Eddington-inspired Born-Infeld gravity. By rewriting Born-Infeld action as the square root of the determinant of a matrix $\hat{\Omega}$, we consider the family of…

General Relativity and Quantum Cosmology · Physics 2016-09-09 Cosimo Bambi , D. Rubiera-Garcia , Yixu Wang

We study the thermodynamics associated to topological black hole solutions of AdS gravity coupled to nonlinear electrodynamics (Born-Infeld) in any dimension, using a background-independent regularization prescription for the Euclidean…

High Energy Physics - Theory · Physics 2008-11-26 Olivera Miskovic , Rodrigo Olea

We investigate $f(T)$ theory coupled with a nonlinear source of electrodynamics, for a spherically symmetric and static spacetime in $4D$. We re-obtain the Born-Infeld and Reissner-Nordstrom-AdS solutions. We generalize the no-go theorem…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Ednaldo L. B. Junior , Manuel E. Rodrigues , Mahouton J. S. Houndjo

We present a family of solutions of Einstein's gravity minimally coupled to a complex, massive scalar field, describing asymptotically flat, spinning black holes with scalar hair and a regular horizon. These hairy black holes (HBHs) are…

General Relativity and Quantum Cosmology · Physics 2014-06-11 Carlos A. R. Herdeiro , Eugen Radu

A (2+1)-static black hole solution with a nonlinear electric field is derived. The source to the Einstein equations is a nonlinear electrodynamics, satisfying the weak energy conditions, and it is such that the energy momentum tensor is…

High Energy Physics - Theory · Physics 2009-10-31 M. Cataldo , N. Cruz , S. del Campo , A. Garcia

We investigate the stability of $f(R)$-rotating (Kerr) black hole obtained from a limited form of $f(R)$ gravity. In order to avoid the difficulty of handling fourth order linearized equations, we transform this form of $f(R)$ gravity into…

General Relativity and Quantum Cosmology · Physics 2011-08-12 Yun Soo Myung

The regular black hole solution arising as a spherically symmetric vacuum solution of Born-Infeld gravity possesses an asymptotic interior structure which is very well described by a four dimensional generalization of the non-rotating BTZ…

High Energy Physics - Theory · Physics 2020-08-14 Christian G. Boehmer , Franco Fiorini

For an uncharged test particle in the Kerr-Bertotti-Robinson spacetime, solutions of two major types of orbits are presented, both in exact forms. First, for both prograde and retrograde motions, the radii of innermost stable circular…

General Relativity and Quantum Cosmology · Physics 2025-08-15 Tower Wang

We construct hairy rotating black hole solutions in three dimensional Einstein gravity coupled to a complex scalar field. When we turn on a real and uniform source on the dual CFT, the black hole is stationary with two Killing vectors and…

High Energy Physics - Theory · Physics 2024-01-17 Ling-Long Gao , Yan Liu , Hong-Da Lyu

Cosmology in Eddington-inspired Born-Infeld gravity is investigated using a scalar Born-Infeld field (e.g. tachyon condensate) as matter. In this way, both in the gravity and matter sectors we have Born-Infeld-like structures characterized…

General Relativity and Quantum Cosmology · Physics 2016-09-27 Soumya Jana , Sayan Kar

We present the most general and exact solution of Einstein's gravity sourced by an anisotropic fluid describing the cosmological embedding (CE) of a static and spherically-symmetric object, including black holes (BHs) or exotic compact…

General Relativity and Quantum Cosmology · Physics 2026-03-27 Mariano Cadoni , Leonardo de Lima , Mirko Pitzalis , Davi C. Rodrigues , Andrea P. Sanna

In this paper, we derive rotating black string solutions in the presence of two kinds of nonlinear electromagnetic fields, so called Born-Infeld and power Maxwell invariant. Investigation of the solutions show that for the Born-Infeld black…

High Energy Physics - Theory · Physics 2010-11-04 S. H. Hendi

In general, the field equation of $f(R)$ gravitational theory is very intricate, and therefore, it is not an easy task to derive analytical solutions. We consider rotating black hole spacetime four-dimensional in the $f(R)$ gravitational…

General Relativity and Quantum Cosmology · Physics 2023-06-14 G. L. N. Nashed , Shin'ichi Nojiri

The Kerr solution for empty space-time is presented in an ellipsoidally symmetric coordinate system and it is used to produce generalised ellipsoidal metrics appropriate for the generation of rotating interior solutions of Einstein's…

General Relativity and Quantum Cosmology · Physics 2015-05-27 R. J. Wiltshire

The present paper is a sequel to our previous work [Y. Ni et al., JCAP 1607, 049 (2016)] in which we studied the iron K$\alpha$ line expected in the reflection spectrum of Kerr black holes with scalar hair. These metrics are solutions of…

General Relativity and Quantum Cosmology · Physics 2016-10-04 Zheng Cao , Alejandro Cardenas-Avendano , Menglei Zhou , Cosimo Bambi , Carlos A. R. Herdeiro , Eugen Radu

A new theory of gravity called Eddington-inspired Born-Infeld (EiBI) gravity was recently proposed by Ba\~{n}ados and Ferreira. This theory leads to some exciting new features, such as free of cosmological singularities. In this paper, we…

General Relativity and Quantum Cosmology · Physics 2015-06-29 Shao-Wen Wei , Ke Yang , Yu-Xiao Liu

We investigate the horizon structure of the rotating Einstein-Born-Infeld solution which goes over to the Einstein-Maxwell's Kerr-Newman solution as the Born-Infeld parameter goes to infinity ($\beta \rightarrow \infty$). We find that for a…

General Relativity and Quantum Cosmology · Physics 2016-06-22 Farruh Atamurotov , Sushant G. Ghosh , Bobomurat Ahmedov

We study the linear response of four dimensional magnetized black holes and regular topological stars arising from dimensional compactification of Einstein-Maxwell theory in five dimensions. We consider both radial and nonradial…

General Relativity and Quantum Cosmology · Physics 2024-10-03 Alexandru Dima , Marco Melis , Paolo Pani

We construct black hole solutions to Einstein-Born-Infeld gravity with a cosmological constant. Since an elliptic function appears in the solutions for the metric, we construct horizons numerically. The causal structure of these solutions…

High Energy Physics - Theory · Physics 2008-11-26 Sharmanthie Fernando , Don Krug

We consider black holes generically sourced by quantum matter described by regular wavefunctions. This allows for integrable effective energy densities and the removal of Cauchy horizons in spherically symmetric configurations. Moreover, we…

General Relativity and Quantum Cosmology · Physics 2023-05-31 Roberto Casadio , Andrea Giusti , Jorge Ovalle
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