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We find static charged black hole solutions in nonlinear massive gravity. In the parameter space of two gravitational potential parameters $(\alpha, \beta)$ we show that below the Compton wavelength the black hole solutions reduce to that…

High Energy Physics - Theory · Physics 2013-03-14 Yi-Fu Cai , Damien A. Easson , Caixia Gao , Emmanuel N. Saridakis

Applying Dirac's procedure to $r$-dependent constrained systems, we derive a reduced total Hamiltonian, resembling an upside down harmonic oscillator, which generates the Schwarzschild solution in the mini super-spacetime. Associated with…

General Relativity and Quantum Cosmology · Physics 2014-02-03 Aharon Davidson , Ben Yellin

In this article we study the pointwise decay properties of solutions to the Maxwell system on a class of nonstationary asymptotically flat backgrounds in three space dimensions. Under the assumption that uniform energy bounds and a weak…

Analysis of PDEs · Mathematics 2017-06-26 Jason Metcalfe , Daniel Tataru , Mihai Tohaneanu

The new, rapidly developing field of theoretical research --- studies of dark energy interacting with black holes (and, in particular, accreting onto black holes) --- is reviewed. The term `dark energy' is meant to cover a wide range of…

General Relativity and Quantum Cosmology · Physics 2014-06-11 E. O. Babichev , V. I. Dokuchaev , Yu. N. Eroshenko

The black hole solutions in the higher dimensional Brans-Dicke-Maxwell theory are investigated. We find that the presence of the nontrivial scalar field depends on the spacetime dimensions (D). When D=4, the solution corresponds to the…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Rong-Gen Cai , Y. S. Myung

In this paper we propose a stationary solution of Einstein's field equations describing Reissner-Nordstrom black hole in dark energy background. It is to be regarded as the Reissner-Nordstrom black hole is embedded into the dark energy…

General Relativity and Quantum Cosmology · Physics 2014-12-02 Ngangbam Ishwarchandra , Ng. Ibohal , K. Yugindro Singh

It is well-known that in order to make the action well defined, one may employ different kinds of boundary conditions (BCs) accompanied by the appropriate Gibbons-Hawking-York (GHY) terms. In this paper we investigate the role of the…

General Relativity and Quantum Cosmology · Physics 2020-07-01 H. Khodabakhshi , A. Shirzad , F. Shojai , Robert B. Mann

A family of spacetimes suitable for describing the interior of a non-rotational black hole is constructed. The stress-energy tensor is that of a spherically symmetric vacuum, as commonly assumed nowadays. The problem of matching the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Emilio Elizalde , Sergi R. Hildebrandt

In this paper, we consider the solutions of Einstein gravity in the presence of a generalized Maxwell theory, namely power Maxwell invariant. First, we investigate the analogy of nonlinear charged black hole solutions with the Van der Waals…

High Energy Physics - Theory · Physics 2013-11-12 S. H. Hendi , M. H. Vahidinia

Numerical simulations of the accretion of test scalar fields with non-standard kinetic terms (of the k-essence type) onto a Schwarzschild black hole are performed. We find a full dynamical solution for the spherical accretion of a…

High Energy Physics - Theory · Physics 2011-07-22 Ratindranath Akhoury , David Garfinkle , Ryo Saotome , Alexander Vikman

The nonlinear Maxwell Lagrangian preserving both conformal and SO(2) duality-rotation invariance has been introduced very recently. Here, in the context of Einstein's theory of gravity minimally coupled with this nonlinear electrodynamics,…

General Relativity and Quantum Cosmology · Physics 2021-03-17 Z. Amirabi , S. Habib Mazharimousavi

In this work we study steady and spherical relativistic dust accretion onto a static and spherically symmetric scale--dependent black hole. In particular we consider a polytropic scale--dependent black hole as a central object and obtain…

General Relativity and Quantum Cosmology · Physics 2019-04-01 Ernesto Contreras , Ángel Rincón , J. M. Ramírez-Velasquez

We consider the revised Deser-Woodard model of nonlocal gravity by reformulating the related field equations within a suitable tetrad frame. This transformation significantly simplifies the treatment of the ensuing differential problem…

General Relativity and Quantum Cosmology · Physics 2025-06-24 Rocco D'Agostino , Vittorio De Falco

In this work, we investigate four-dimensional planar black hole solutions in anti-de Sitter spacetimes in light of the so-called scale-dependent scenario. To obtain this new family of solutions, the classical couplings of the theory, i.e.,…

General Relativity and Quantum Cosmology · Physics 2019-01-14 Ángel Rincón , Ernesto Contreras , Pedro Bargueño , Benjamin Koch

We explore the quantum nature of black holes by introducing an effective framework that takes into account deviations from the classical results. The approach is based on introducing quantum corrections to the classical Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2022-09-14 Emanuele Binetti , Manuel Del Piano , Stefan Hohenegger , Franco Pezzella , Francesco Sannino

The main part of this work is to present a formula allowing a microscopic derivation of the Schwarzschild black hole entropy in arbitrary dimension. More generally, this Cardy-like formula applies for static black holes whose gravitational…

High Energy Physics - Theory · Physics 2020-04-22 Mokhtar Hassaine

The non-existence of asymptotically flat, neutral black holes and asymptotically flat, charged black holes in the Maxwell electrodynamics, with non-trivial scalar field has been proved for a large class of scalar-tensor theories. The…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ivan Zh. Stefanov , Stoytcho S. Yazadjiev , Michail D. Todorov

We obtain a class of solutions corresponding to a generalization of the Hayward black hole by solving the Einstein equations coupled to a particular nonlinear electromagnetic field. The generalization is realized by considering,…

General Relativity and Quantum Cosmology · Physics 2024-12-03 F. F. Nascimento , V. B. Bezerra , J. M. Toledo , G. A. Marques

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

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