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Classical solutions describing charged dilaton black holes accelerating in a background magnetic field have recently been found. They include the Ernst metric of the Einstein-Maxwell theory as a special case. We study the extremal limit of…

High Energy Physics - Theory · Physics 2013-11-13 Fay Dowker , Jerome P. Gauntlett , Steven B. Giddings , Gary T. Horowitz

In this paper, we study the different properties of static spherically symmetric black hole solutions of Einstein-Bel-Robinson gravity (EBR), a modified four-dimensional theory of gravity quartic in curvature. We look at the orbit of…

General Relativity and Quantum Cosmology · Physics 2025-03-25 Seyed Naseh Sajadi , Supakchai Ponglertsakul , Dhruba Jyoti Gogoi

We consider one-loop quantum corrections to the thermodynamics of a black hole in generic 2-dimensional dilaton gravity. The classical action is the most general diffeomorphism invariant action in 1+1 space-time dimensions that contains a…

High Energy Physics - Theory · Physics 2016-08-25 A. J. M. Medved , G. Kunstatter

In this work, we obtain the analytically approximation of static, spherically symmetric black hole solutions to Einstein$-$Weyl squared gravity by using the continued fraction expansion method. The black hole solutions are found for various…

General Relativity and Quantum Cosmology · Physics 2025-01-06 Seyed Naseh Sajadi , Supakchai Ponglertsakul

In recent times quantum corrections for N=2 black holes in 4 dimensions have been addressed in the framework of double extreme black hole solutions, which are characterised by constant scalar fields. In this paper we generalize these…

High Energy Physics - Theory · Physics 2009-10-30 Klaus Behrndt

We present spontaneous scalarization of charged black holes (BHs) which is induced by the coupling of the scalar field to the electromagnetic field strength and the double-dual Riemann tensor $L^{\mu\nu\alpha\beta}F_{\mu\nu}F_{\alpha\beta}$…

General Relativity and Quantum Cosmology · Physics 2019-11-13 Taishi Ikeda , Tomohiro Nakamura , Masato Minamitsuji

In this paper, we studied Einsteinian quartic gravity minimally coupled to electrodynamics in four dimensions. First, by variation action, we obtain the field equations, and by integration, we obtain a nonlinear third-order differential…

General Relativity and Quantum Cosmology · Physics 2022-11-30 S. N. Sajadi , Leila Shahkarami , Farid Charmchi , S. H. Hendi

We calculate leading long-distance noncommutative corrections to the classical Schwarzschild black hole which is sourced by a massive noncommutative scalar field. The energy-momentum tensor is taken up to ${\cal O}(\ell^4)$ in…

General Relativity and Quantum Cosmology · Physics 2009-09-02 Archil Kobakhidze

In this work we find charged slowly rotating solutions in the four-dimensional Einstein-power-Maxwell non-linear electrodynamics assuming a negative cosmological constant. By solving the system of coupled field equations explicitly we…

General Relativity and Quantum Cosmology · Physics 2018-09-05 Grigoris Panotopoulos , Angel Rincon

The first-order correction of the perturbative solution of the coupled equations of the quadratic gravity and nonlinear electrodynamics is constructed, with the zeroth-order solution coinciding with the ones given by Ay\'on-Beato and…

High Energy Physics - Theory · Physics 2009-11-11 Waldemar Berej , Jerzy Matyjasek , Dariusz Tryniecki , Mariusz Woronowicz

We investigate static inhomogeneous charged planar black hole solutions of the Einstein-Maxwell system in an asymptotically anti-de Sitter spacetime. Within the framework of linear perturbations, the solutions are numerically and…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Kengo Maeda , Takashi Okamura , Jun-ichirou Koga

In this letter we present an exact spherically symmetric and magnetically charged black hole solution with exponential model of nonlinear electrodynamics [S. Kruglov, Annals Phys. 378, 59-70 (2017)] in the context of 4D…

General Relativity and Quantum Cosmology · Physics 2020-08-27 Kimet Jusufi

Nonlinear electrodynamics is known as the generalizations of Maxwell electrodynamics at strong fields and presents interesting features such as curing the classical divergences present in the linear theory when coupled to general…

General Relativity and Quantum Cosmology · Physics 2022-10-04 Yashmitha Kumaran , Ali Övgün

In this work, we explore black hole and regular black hole solutions in the recently proposed Conformal Killing Gravity (CKG). This theory is of third order in the derivatives of the metric tensor and essentially satisfies three theoretical…

General Relativity and Quantum Cosmology · Physics 2024-02-07 José Tarciso S. S. Junior , Francisco S. N. Lobo , Manuel E. Rodrigues

In mimetic gravity, we derive $D$-dimension charged black hole solutions having flat or cylindrical horizons with zero curvature boundary. The asymptotic behaviours of these black holes behave as (A)dS. We study both linear and nonlinear…

General Relativity and Quantum Cosmology · Physics 2019-02-06 G. G. L. Nashed , W. El Hanafy , Kazuharu Bamba

We derive a stationary and axisymmetric black hole solution in Einstein-Dilaton-Gauss-Bonnet gravity to quadratic order in the ratio of the spin angular momentum to the black hole mass squared. This solution introduces new corrections to…

General Relativity and Quantum Cosmology · Physics 2015-02-24 Dimitry Ayzenberg , Nicolas Yunes

The three-dimensional static and circularly symmetric solution of the Einstein-Born-Infeld-dilaton system is derived. The solutions corresponding to low energy string theory are investigated in detail, which include black hole solutions if…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Ryo Yamazaki , Daisuke Ida

Using a generalized Weyl formalism, we show how stationary, axisymmetric solutions of the four-dimensional vacuum Einstein equation can be turned into static, axisymmetric solutions of five-dimensional dilaton gravity coupled to a two-form…

High Energy Physics - Theory · Physics 2009-11-10 Edward Teo

Einstein-Maxwell dilaton-axion gravity is a string-inspired model arising from the low energy effective action of heterotic string theory and an important candidate as alternative to General Relativity. Recently, some authors have explored…

High Energy Astrophysical Phenomena · Physics 2021-07-02 Ashutosh Tripathi , Biao Zhou , Askar B. Abdikamalov , Dimitry Ayzenberg , Cosimo Bambi

We construct static and spherically symmetric black hole solutions in the Einstein-Euler-Heisenberg (EEH) system which is considered as an effective action of a superstring theory. We considered electrically charged, magnetically charged…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Hiroki Yajima , Takashi Tamaki