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We show, in detail, that the only non-trivial black hole (BH) solutions for a neutral as well as a charged spherically symmetric space-times, using the class ${\textit F(R)}={\textit R}\pm{\textit F_1 (R)} $, must-have metric potentials in…

广义相对论与量子宇宙学 · 物理学 2021-01-08 G. G. L. Nashed

We study the full spectrum of spherically symmetric solutions in the five dimensional non-projectable Horava-Lifshitz type gravity theories. For appropriate ranges of the coupling parameters, we have found several classes of solutions which…

高能物理 - 理论 · 物理学 2014-11-20 G. Koutsoumbas , E. Papantonopoulos , P. Pasipoularides , M. Tsoukalas

In this work, we derive a new class of analytic black hole solutions within the framework of f(R,Lm, T) gravity, where the black hole is surrounded by an anisotropic fluid acting as the matter source. We consider both linear and nonlinear…

广义相对论与量子宇宙学 · 物理学 2025-06-19 Aniruddha Ghosh , Ujjal Debnath

The investigation of gravity in higher-dimensional spacetime has transitioned from a mathematical curiosity to a fundamental framework in theoretical physics, catalyzed by the dimensional requirements of String theory and M-theory. In this…

广义相对论与量子宇宙学 · 物理学 2026-04-03 Chen-Hao Hao , Jiliang Jing , Jieci Wang

We present exact spherical black hole solutions in de Rham, Gabadadze and Tolley (dRGT) massive gravity for a generic choice of the parameters in the theory, and also discuss the thermodynamical and phase structure of the black hole in both…

广义相对论与量子宇宙学 · 物理学 2016-03-16 Sushant G. Ghosh , Lunchakorn Tannukij , Pitayuth Wongjun

Spherically symmetric solutions of theories of gravity built one fundamental class of solutions to describe compact objects like black holes and stars. Moreover, they serve as starting point for the search of more realistic axially…

广义相对论与量子宇宙学 · 物理学 2022-01-21 Sebastian Bahamonde , Alexey Golovnev , María-José Guzmán , Jackson Levi Said , Christian Pfeifer

The paper is a brief review on the existence and basic properties of static, spherically symmetric regular black hole solutions of general relativity, where the source of gravity is represented by nonlinear electromagnetic fields with the…

广义相对论与量子宇宙学 · 物理学 2022-11-03 Kirill A. Bronnikov

Constraints on the geometry of a static spherically symmetric black hole are obtained by requiring the spacetime curvature to be analytic at the event horizon. For a zero temperature black hole further constraints are obtained by also…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Paul R. Anderson , Courtney D. Mull

Some recent papers have claimed the existence of static, spherically symmetric wormhole solutions to gravitational field equations in the absence of ghost (or phantom) degrees of freedom. We show that in some such cases the solutions in…

广义相对论与量子宇宙学 · 物理学 2014-11-21 K. A. Bronnikov , M. V. Skvortsova , A. A. Starobinsky

Novel static black hole solutions with electric and magnetic charges are derived for the class of modified gravities: $f({\cal R})={\cal R}+2\beta\sqrt{{\cal R}}$, with or without a cosmological constant. The new black holes behave…

广义相对论与量子宇宙学 · 物理学 2020-02-14 E. Elizalde , G. G. L. Nashed , S. Nojiri , S. D. Odintsov

We obtain a class of regular black hole solutions in four-dimensional $f(R)$ gravity, $R$ being the curvature scalar, coupled to a nonlinear electromagnetic source. The metric formalism is used and static spherically symmetric spacetimes…

广义相对论与量子宇宙学 · 物理学 2016-08-02 Manuel E. Rodrigues , Ednaldo L. B. Junior , Glauber T. Marques , Vilson T. Zanchin

We consider the recently proposed non-relativistic Ho\v{r}ava-Lifshitz four-dimensional theory of gravity. We study a particular limit of the theory which admits flat Minkowski vacuum and we discuss thoroughly the quadratic fluctuations…

高能物理 - 理论 · 物理学 2010-04-06 Alex Kehagias , Konstadinos Sfetsos

A spherically symmetric black hole solution defined by the gravitational mass is explored in higher-order curvature gravity associated with a scalar field. It is demonstrated that the singularities of the curvature invariants will be far…

广义相对论与量子宇宙学 · 物理学 2025-09-04 G. G. L. Nashed , Usman Zafar , Kazuharu Bamba

The static black hole solutions to the Einstein-Maxwell equations are all spherically symmetric, as are many of the recently discovered black hole solutions in theories of gravity coupled to other forms of matter. However, counterexamples…

广义相对论与量子宇宙学 · 物理学 2010-11-19 S. Alexander Ridgway , Erick J. Weinberg

We consider static, spherically symmetric, electrically or/and magnetically charged configurations of a minimally coupled scalar field with an arbitrary potential $V(\phi)$ in general relativity. Using the inverse problem method, we obtain…

广义相对论与量子宇宙学 · 物理学 2008-11-26 K. A. Bronnikov , M. S. Chernakova

Utilizing various gauges of the radial coordinate we give a description of static spherically symmetric space-times with point singularity at the center and vacuum outside the singularity. We show that in general relativity (GR) there exist…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Plamen Fiziev

We derive a novel class of four-dimensional black hole solutions in Gauss-Bonnet gravity coupled with a scalar field in presence of Maxwell electrodynamics. In order to derive such solutions, we assume the ansatz $ g_{tt}\neq g_{rr}{}^{-1}$…

广义相对论与量子宇宙学 · 物理学 2023-09-19 Salvatore Capozziello , G. G. L. Nashed

In this paper, we consider the problems of spherical gravitational collapse and accretion using a spherically symmetric, spatially homothetic spacetime, that is, as an exact solution (cqg1) of the field equations of general relativity.…

天体物理学 · 物理学 2007-05-23 Sanjay M Wagh

We derive static spherically symmetric regular black holes as vacuum solutions to purely gravitational theories in four dimensions. To that end, we construct four-dimensional non-polynomial gravities starting from subclasses of…

广义相对论与量子宇宙学 · 物理学 2026-02-20 Johanna Borissova , Raúl Carballo-Rubio

Generalization of a known theorem to generate static, spherically symmetric black-hole solutions in higher dimensional Lovelock gravity is presented. Particular limits, such as Gauss-Bonnet (GB) and/or Einstein-Hilbert (EH) in any dimension…

广义相对论与量子宇宙学 · 物理学 2010-01-06 S. Habib Mazharimousavi , O. Gurtug , M. Halilsoy