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We establish a framework to construct spherically symmetric and static solutions in $f(R)$ gravity coupled with nonlinear electromagnetic fields. We present two new specific solutions and discuss the energy conditions. We calculate some…

General Relativity and Quantum Cosmology · Physics 2025-09-09 Yongben Shi , Rong-Jia Yang

In this work, we investigate the thermodynamic properties of black holes (BHs) that have non-trivial topological features in their phase diagrams. We consider three different models of BHs: (1) a class of BHs in dRGT massive gravity, which…

High Energy Physics - Theory · Physics 2024-09-10 Aqsa Mehmood , M. Umair Shahzad

We study the thermodynamics of charged rotating black hole in large extra dimensions scenario where quantum gravity effects are taken into account. We consider the effects of minimal length, minimal momentum, and maximal momentum as natural…

High Energy Physics - Theory · Physics 2016-10-04 M. J. Soleimani , N. Abbasvandi , G. Gopir , Zainol Abidin Ibrahim , Shahidan Radiman , W. A. T Wan Abdullah

In the presence of a minimal length physical objects cannot collapse to an infinite density, singular, matter point. In this note we consider the possible final stage of the gravitational collapse of "thick" matter layers. The energy…

General Relativity and Quantum Cosmology · Physics 2013-12-24 Piero Nicolini , Alessio Orlandi , Euro Spallucci

We obtain an asymptotically AdS, non-extremal, electrically charged and rotating black hole solution of 4-dimensional U(1)^4 gauged supergravity with 2 non-zero and independent U(1) charges. The thermodynamical quantities are computed. We…

High Energy Physics - Theory · Physics 2011-10-05 David D. K. Chow

We identify a set of higher-derivative extensions of Einstein-Maxwell theory that allow for spherically symmetric charged solutions characterized by a single metric function $f(r)=-g_{tt}=1/g_{rr}$. These theories are a non-minimally…

High Energy Physics - Theory · Physics 2021-04-26 Pablo A. Cano , Ángel Murcia

We investigate the thermodynamic properties of the Kerr-Bertotti-Robinson black hole, an exact Petrov type D solution of Einstein-Maxwell theory describing a rotating black hole immersed in an external electromagnetic field. While the…

General Relativity and Quantum Cosmology · Physics 2026-03-20 Li Hu , Rong-Gen Cai , Shao-Jiang Wang

We investigate stationary, rotationally symmetric solutions of a recently proposed three-dimensional theory of massive gravity. Along with BTZ black holes, we also obtain warped AdS_3 black holes, and (for a critical value of the…

High Energy Physics - Theory · Physics 2009-11-13 Gerard Clement

We show that the notion of a black hole mass could be superceded by that of a topological charge in a spacetime without matter and curvature singularity. This feature emerges through a set new spacetime solutions of first order gravity in…

General Relativity and Quantum Cosmology · Physics 2026-04-06 Sandipan Sengupta

We study a six-dimensional vector-tensor gravitation theory compactified to M_4 x S^2. Here, static spherically-symmetric solutions to the field equations of the theory are investigated. We examine the case that the magnetic charge of the…

General Relativity and Quantum Cosmology · Physics 2023-06-27 Kiyoshi Shiraishi

The evaluation of the energy-momentum distribution for a new four-dimensional, spherically symmetric, static and charged black hole spacetime geometry with constant non-zero topological Euler density is performed by using the…

General Relativity and Quantum Cosmology · Physics 2018-10-22 Irina Radinschi , Theophanes Grammenos , Farook Rahaman , Andromahi Spanou , Marius Mihai Cazacu , Surajit Chattopadhyay , Antonio Pasqua

We perform the gauge covariant quantization of the exponential model of nonlinear electrodynamics. Magnetically charged black holes, in the framework of our model are considered, and the regular black hole solution is obtained in general…

General Relativity and Quantum Cosmology · Physics 2017-03-14 S. I. Kruglov

We construct exact solutions of magnetically charged black holes in the vector-tensor Horndeski gravity and discuss their main features. Unlike the analogous electric case, the field equations are linear in a simple (quite standard)…

General Relativity and Quantum Cosmology · Physics 2025-05-01 Y. Verbin

We generalize the quasilocal definition of the stress energy tensor of Einstein gravity to the case of third order Lovelock gravity, by introducing the surface terms that make the action well-defined. We also introduce the boundary…

High Energy Physics - Theory · Physics 2008-11-26 M. H. Dehghani , R. B. Mann

The 2D model of gravity with zweibeins $e^{a}$ and the Lorentz connection one-form $\omega^{a}_{\ b}$ as independent gravitational variables is considered and it is shown that the classical equations of motion are exactly integrated in…

High Energy Physics - Theory · Physics 2009-10-22 S. N. Solodukhin

We study the thermodynamics of the recently-discovered non-extremal charged rotating black holes of gauged supergravities in five, seven and four dimensions, obtaining energies, angular momenta and charges that are consistent with the first…

High Energy Physics - Theory · Physics 2007-05-23 M. Cvetic , G. W. Gibbons , H. Lu , C. N. Pope

We investigate Einstein--Gauss--Bonnet--Maxwell massive gravity in $4D$ AdS background and find an exact black hole solution. The horizon structure of the black holes studied. Treating the cosmological constant as pressure and Gauss-Bonnet…

General Relativity and Quantum Cosmology · Physics 2023-07-19 Prosenjit Paul , Sudhaker Upadhyay , Dharm Veer Singh

In this paper we compute the Arnowitt-Deser-Misner (ADM) mass, the angular momentum and the charge of the Kerr black hole solution in the scalar-tensor-vector gravity theory [known as the Kerr-MOG (modified-gravity) black hole…

General Relativity and Quantum Cosmology · Physics 2018-06-26 Pankaj Sheoran , Alfredo Herrera-Aguilar , Ulises Nucamendi

We study a class of topological black hole solutions in RSII braneworld scenario in the presence of a localized Maxwell field on the brane. Such a black hole can carry two types of charge, one arising from the extra dimension, the tidal…

High Energy Physics - Theory · Physics 2009-11-05 Ahmad Sheykhi , Bin Wang

We use the relation between extremal black hole solutions in five- and in four-dimensional N=2 supergravity theories with cubic prepotentials to define the entropy function for extremal black holes with one angular momentum in five…

High Energy Physics - Theory · Physics 2010-10-27 Gabriel Lopes Cardoso , Johannes M. Oberreuter , Jan Perz