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We provide a methodology to obtain black hole (BH) solutions in Ho\v{r}ava gravity (HG) and Einstein Aether (AE) theory for the spherically symmetric (SS) case with a static aether. This methodology consists of first specifying the form of…

General Relativity and Quantum Cosmology · Physics 2025-12-24 Milko Estrada

This paper deals with five-dimensional black hole solutions in (a) Einstein-Yang-Mills-Gauss-Bonnet theory and (b)Einstein-Maxwell-Gauss-Bonnet theory with a cosmological constant for spherically symmetric space time. The geometry of the…

General Relativity and Quantum Cosmology · Physics 2010-04-30 Ritabrata Biswas , Subenoy Chakraborty

A version of massive gravity, namely conformal massive gravity, is employed to study the behavior of thermodynamic geometry for both the static and the rotating regular black holes. Whereas in thermodynamic geometry singularity can be…

General Relativity and Quantum Cosmology · Physics 2021-12-10 Saheb Soroushfar , Reza Saffari , Amare Abebe , Haidar Sheikhahmadi

The action for a class of three-dimensional dilaton-gravity theories with a cosmological constant can be recast in a Brans-Dicke type action, with its free $\omega$ parameter. These theories have static spherically symmetric black holes.…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Gonçalo A. S. Dias , José P. S. Lemos

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 obtain topological black hole solutions in scalar-tensor gravity with nonminimal derivative coupling between scalar and tensor components of gravity and power-law Maxwell field minimally coupled to gravity. The obtained solutions can be…

High Energy Physics - Theory · Physics 2019-02-20 M. M. Stetsko

We study static spherically symmetric solutions to the vacuum field equations of quadratic gravity in the presence of a cosmological constant $\Lambda$. Motivated by the trace no-hair theorem, we assume the Ricci scalar to be constant…

General Relativity and Quantum Cosmology · Physics 2021-03-26 Vojtech Pravda , Alena Pravdova , Jiri Podolsky , Robert Svarc

We introduce novel black hole (BH) solutions, charge/non-charge, within the framework of $f(R)$ gravity, a theory that does not inherently include a cosmological constant, using equal/diffirent metric ansatzs. Remarkably, these solutions…

General Relativity and Quantum Cosmology · Physics 2025-09-22 G. G. L. Nashed

We present an exact static black hole solution of Einstein field equations in the framework of Horndeski Theory by imposing spherical symmetry and choosing the coupling constants in the Lagrangian so that the only singularity in the…

General Relativity and Quantum Cosmology · Physics 2021-08-12 Santiago Esteban Perez Bergliaffa , Rodrigo Maier , Nathan de Oliveira Silvano

Over the last decades, many methods were developed to prove Hawking radiation. Recently, a semiclassical method known as the tunneling method has been proposed as a more straightforward way of derivating black hole thermodynamical…

General Relativity and Quantum Cosmology · Physics 2020-04-28 D. A. Gomes , R. V. Maluf , C. A. S. Almeida

We obtain an exact spherically symmetric and magnetically charged black hole solution in 4D Einstein-Gauss-Bonnet gravity coupled with rational nonlinear electrodynamics. The thermodynamics of our model is studied. We calculate the Hawking…

General Physics · Physics 2021-06-02 S. I. Kruglov

Starting from a generalised Kaluza-Klein action including arbitrary Horndeski potentials, we establish integrability and compatibility conditions that solve the generic field equations for spherical symmetry. The resulting theories can be…

General Relativity and Quantum Cosmology · Physics 2023-07-26 Eugeny Babichev , Christos Charmousis , Mokhtar Hassaine , Nicolas Lecoeur

We address a long-standing problem of describing the thermodynamics of a charged accelerating black hole. We derive a standard first law of black hole thermodynamics, with the usual identification of entropy proportional to the area of the…

High Energy Physics - Theory · Physics 2017-02-03 Michael Appels , Ruth Gregory , David Kubiznak

We study the thermodynamic stabilities of uncharged and charged black holes surrounded by quintessence (BHQ) by means of effective thermodynamic quantities. When the state parameter of quintessence $\omega_q$ is appropriately chosen, the…

General Relativity and Quantum Cosmology · Physics 2017-06-28 Meng-Sen Ma , Ren Zhao , Ya-Qin Ma

The Bardeen black hole solution is the first spherically symmetric regular black hole based on the Sakharov and Gliner proposal which is a modification of the Schwarzschild black hole. We present the Bardeen black hole solution in the…

High Energy Physics - Theory · Physics 2022-01-17 R P Singh , B K Singh , R K Gupta , Shobhit Sachan

We investigated a modified Frolov black hole (BH) model that incorporates both a global monopole (GM) and a cosmic string (CS) to explore the interplay between non-singular BH regularization and topological defect effects. In our study, we…

General Relativity and Quantum Cosmology · Physics 2025-04-21 Faizuddin Ahmed , Ahmad Al-Badawi , İzzet Sakallı

We find topological (charged) black holes whose horizon has an arbitrary constant scalar curvature $2k$ in Ho\v{r}ava-Lifshitz theory. Without loss of generality, one may take $k=1,0$ and -1. The black hole solution is asymptotically AdS…

High Energy Physics - Theory · Physics 2011-04-14 Rong-Gen Cai , Li-Ming Cao , Nobuyoshi Ohta

Recent advances in black hole thermodynamics have intensified efforts to investigate its thermodynamic framework analogues to that of classical thermal systems. Departing from the extended phase space approach which involves a variable…

General Relativity and Quantum Cosmology · Physics 2025-08-07 Xuan-Rui Chen , Bin Wu , Zhen-Ming Xu

Recently, a general method for calculating conserved charges for (black hole) solutions to generally covariant gravitational theories, in any dimensions and with arbitrary asymptotic behaviors has been introduced. Equipped with this method,…

General Relativity and Quantum Cosmology · Physics 2016-08-02 Kamal Hajian

The existence of black holes is one of the key predictions of general relativity (GR) and therefore a basic consistency test for modified theories of gravity. In the case of spherical symmetry in GR the existence of an apparent horizon and…

General Relativity and Quantum Cosmology · Physics 2021-09-22 Sebastian Murk , Daniel R. Terno
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