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Static spherically symmetric solutions of the Einstein-Maxwell gravity with the dilaton field are described. The solutions correspond to black holes and are generalizations of the previously known dilaton black hole solution. In addition to…

High Energy Physics - Theory · Physics 2008-11-26 Malik Rakhmanov

The most entropic fluid can be related to a dense gas of black holes that we use to study the beginning of the universe. We encounter difficulties to compatibilize an adiabatic expansion with the growing area for the coalescence of black…

High Energy Physics - Theory · Physics 2009-11-11 P. Diaz , M. A. Per , A. Segui

We define a notion of extrinsic black hole in pure Lovelock gravity of degree $k$ which captures the essential features of the so-called Lovelock-Schwarzschild solutions, viewed as rotationally invariant hypersurfaces with null $2k$-mean…

Differential Geometry · Mathematics 2021-10-13 Levi Lopes de Lima , Frederico Girão , José Natário

We present a static, isotropic fluid solution around a black hole and its effects on the field equations and the horizon. We offer the solutions, their descriptions and we comment on their shortcomings. We derive from the proposed metric…

General Relativity and Quantum Cosmology · Physics 2016-01-27 Metin Arik , Yorgo Senikoglu

It is well known that vacuum equation of arbitrary Lovelock order for static spacetime ultimately reduces to a single algebraic equation, we show that the same continues to hold true for pure Lovelock gravity of arbitrary order $N$ for…

General Relativity and Quantum Cosmology · Physics 2016-02-19 Naresh Dadhich , Josep M. Pons

Recently introduced exact solution of the Einstein gravity coupled minimally to an anisotropic fluid representing dark matter can well represent supermassive black holes in galactic nuclei with realistic distribution of dark matter around…

General Relativity and Quantum Cosmology · Physics 2021-12-08 Zdeněk Stuchlík , Jaroslav Vrba

We study a spherically symmetric spacetime made of anisotropic fluid of which radial equation of state is given by $p_1 = -\rho$. This provides analytic solutions and a good opportunity to study the static configuration of black hole plus…

General Relativity and Quantum Cosmology · Physics 2018-12-27 Inyong Cho , Hyeong-Chan Kim

Black holes behave as thermodynamic systems, and a central task of any quantum theory of gravity is to explain these thermal properties. A statistical mechanical description of black hole entropy once seemed remote, but today we suffer an…

General Relativity and Quantum Cosmology · Physics 2010-04-28 S. Carlip

We construct a new class of rotating AdS black hole solutions with non-compact event horizons of finite area in any dimension and study their thermodynamics. In four dimensions these black holes are solutions to gauged supergravity. We find…

High Energy Physics - Theory · Physics 2015-07-22 Robie A. Hennigar , David Kubiznak , Robert B. Mann

We obtain a new general solution for the gravitational field equations in quantum fluctuation modified gravity, which reduces to different classes of black holes surrounded by fluids, by taking some specific values of the parameter of the…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Yaobin Hua , Rong-Jia Yang

We revisit the study of (A)dS black holes in Lovelock theories. We present a new tool that allows to attack this problem in full generality. In analyzing maximally symmetric Lovelock black holes with non-planar horizon topologies many…

High Energy Physics - Theory · Physics 2015-05-27 Xian O. Camanho , Jose D. Edelstein

We present new accretion solutions of a polytropic perfect fluid onto an f(R)-gravity de Sitter-like black hole. We consider two f(R)-gravity models and obtain finite-period cyclic flows oscillating between the event and cosmological…

General Relativity and Quantum Cosmology · Physics 2017-01-20 Mustapha Azreg-Aïnou

We explore black hole solutions in the context of Born-Infeld-f(R) gravity, a modified gravitational framework that extends both Born-Infeld and f(R) theories. By adopting a static, spherically symmetric spacetime ansatz, we derive an exact…

General Relativity and Quantum Cosmology · Physics 2026-04-16 Salih Kibaroğlu

One of the remarkable features of black holes is that they possess a thermodynamic description, even though they do not appear to be statistical systems. We use self-gravitating magnetic monopole solutions as tools for understanding the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Arthur Lue , Erick J. Weinberg

The third law of black hole dynamics states that it is impossible, through any classical perturbation of a stationary configuration, to reduce the surface gravity of a black hole to zero. In this work, we examine the validity of this law…

General Relativity and Quantum Cosmology · Physics 2026-03-20 Jyotirmoy De , Chiranjeeb Singha , Naresh Dadhich

We show that the generic solutions of the Lovelock equations with spherical, planar or hyperbolic symmetry are locally isometric to the corresponding static Lovelock black hole. As a consequence, these solutions are locally static: they…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Robin Zegers

We construct conserved quantities in pure Lovelock gravity for both static and dynamic Vaydia-type black holes with AdS, dS and flat asymptotics, applying field-theoretical formalism developed earlier. Global energy (where applicable),…

General Relativity and Quantum Cosmology · Physics 2021-06-25 A. N. Petrov

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

We study Born-Infeld gravity coupled to an anisotropic fluid in a static, spherically symmetric background. The free function characterizing the fluid is selected on the following grounds: i) recovery of the Reissner-Nordstr\"om solution of…

General Relativity and Quantum Cosmology · Physics 2017-11-22 C. Menchon , Gonzalo J. Olmo , D. Rubiera-Garcia

We present the most general class of charged black hole solutions in third-order Lovelock gravity within even-dimensional spacetimes in the presence of an electromagnetic field. These solutions feature nonconstant-curvature horizons that…

General Relativity and Quantum Cosmology · Physics 2025-12-02 N. Farhangkhah , S. Hajkhalili