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One-loop renormalised quantum effective action for gravity contains quadratic in curvature terms. We have found an approximate analytic black hole solution in quadratic gravity by keeping only the radial spherically symmetric fluctuations…

General Relativity and Quantum Cosmology · Physics 2021-06-23 Yunho Kim , Archil Kobakhidze

We consider a class of Einstein-Maxwell-dilaton theories in general dimensions and construct both static and dynamic charged black holes. We adopt the reverse engineering procedure and make a specific ansatz for the scalar field and then…

High Energy Physics - Theory · Physics 2020-01-08 Hyat Huang , Zhong-Ying Fan , H. Lü

There exist two branches of static and spherically symmetric black hole solutions in Einstein-Weyl theory: one is the Schwarzschild black hole, and the other is a numerically constructed black hole that bifurcates from the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2025-05-06 Ze Li , Hai-Shan Liu

In their seminal 1992 paper, Ba\~{n}ados, Teitelboim and Zanelli (BTZ) proposed a simple charged generalization of what is now known as the spinning BTZ black hole, the proposal being that a rotating metric can be supported by a `static…

General Relativity and Quantum Cosmology · Physics 2025-07-09 Tomáš Hale , Brayden R. Hull , David Kubizňák , Robert B. Mann , Jana Menšíková

We study the black hole solution and gravitational wave polarizations in a M-subset of the Einstein-aether theory with Lorentz invariance violated by an unit norm vector field -- the aether field $u^a$. This M-subset of Einstein-aether…

General Relativity and Quantum Cosmology · Physics 2026-03-03 Chikun Ding , Yuebing Zhou , Yu Shi , Xiangyun Fu

Charged and/or rotating black holes in General Relativity feature Cauchy horizons, which indicate a breakdown of predictability in the theory. Focusing on spherically symmetric charged black holes, we remark that the inevitability of…

General Relativity and Quantum Cosmology · Physics 2025-06-27 Tomáš Hale , Robie A. Hennigar , David Kubiznak

Higher derivative extensions of Einstein gravity are important within the string theory approach to gravity and as alternative and effective theories of gravity. H. L\"u, A. Perkins, C. Pope, K. Stelle [Phys.Rev.Lett. 114 (2015), 171601]…

General Relativity and Quantum Cosmology · Physics 2023-07-10 K. Kokkotas , R. A. Konoplya , A. Zhidenko

Several types of static solutions to Einstein's equations coupled with antisymmetric tensor fields are found in $(2+N+1)$-dimensional spacetime. The solutions describe a product of a three-dimensional radially symmetric spacetime and an…

General Relativity and Quantum Cosmology · Physics 2018-02-06 Takuya Maki , Kiyoshi Shiraishi

In a scalar-vector-gravity theory with the vector sector described by nonlinear electrodynamics, the field equations are integrated using the well-known gravitational decoupling method. The resulting spacetime corresponds to a spherically…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Manuel Gonzalez-Espinoza , Y. Gómez-Leyton , Z. Stuchlik , Francisco Tello-Ortiz

We present a class of solutions to the Einstein-Maxwell equations in d-dimensions, all of which are asymptotically (anti)-de Sitter space-times. They describe electrically charged rotating solutions, which are generalizations of those found…

High Energy Physics - Theory · Physics 2009-11-07 Adel Awad

A solution for the Einstein gravity coupled with non linear electrodynamics is introduced in 2+1 dimensions. Especially, in the case with a non-vanishing cosmological constant, we obtain a novel black hole solution. To find fundamental…

General Relativity and Quantum Cosmology · Physics 2013-12-11 M. Kuniyasu

Inspired by the so-called Palatini formulation of General Relativity and of its modifications and extensions, we consider an analogous formulation of the dynamics of a self-interacting gauge field which is determined by non-linear extension…

General Relativity and Quantum Cosmology · Physics 2025-05-15 Yosef Verbin , Beyhan Pulice , Ali Övgün , Hyat Huang

We extend the Wald solution to a black hole that is also boosted. More specifically, we derive analytic solutions for the Maxwell equations for a rotating black hole moving at constant speed in an asymptotically uniform magnetic test field.…

General Relativity and Quantum Cosmology · Physics 2014-05-29 Viktoriya S. Morozova , Luciano Rezzolla , Bobomurat J. Ahmedov

We study the general black hole solutions of dimensionally reduced five-dimensional Einstein-Gauss-Bonnet gravity. The reduced theory contains gravity, electromagnetism and a scalar field, with nonlinear corrections to the action and…

General Relativity and Quantum Cosmology · Physics 2026-03-10 Z. Belkhadria , S. Mignemi , F. Paderi

We numerically investigate the dynamics near black hole formation of solutions to the Einstein--Vlasov system in axisymmetry. Our results are obtained using a particle-in-cell and finite difference code based on the $(2+1)+1$ formulation of…

General Relativity and Quantum Cosmology · Physics 2021-02-05 Ellery Ames , Håkan Andréasson , Oliver Rinne

We consider Maxwell-f(R) gravity and obtain an exact charged black hole solution with dynamic curvature in D-dimensions. Considering a spherically symmetric metric ansatz and without specifying the form of f(R) we fnd a general black hole…

General Relativity and Quantum Cosmology · Physics 2021-04-07 Zi-Yu Tang , Bin Wang , Eleftherios Papantonopoulos

We study the charged black hole solutions of a 2+1 nonlinear electrodynamical theory with cosmological constant. Considered as a one-parameter group of theories (the exponent of the squared Maxwell tensor) the causal structure of all…

General Relativity and Quantum Cosmology · Physics 2025-07-01 Rodrigo Dal Bosco Fontana

In recent years there have appeared in the literature a large number of static, spherically symmetric metrics, which are regular at the origin, asymptotically flat, and have both an event and a Cauchy horizon for certain range of the…

General Relativity and Quantum Cosmology · Physics 2017-06-13 J. Ponce de Leon

We discuss the exact electrically charged BTZ black hole solutions to the Einstein-Maxwell equations with a negative cosmological constant in 2+1 spacetime dimensions assuming a (anti-)self dual condition between the electromagnetic fields.…

High Energy Physics - Theory · Physics 2009-10-30 Masaru Kamata , Takao Koikawa

Employing higher order perturbation theory, we obtain charged rotating black holes in odd dimensions, where the Einstein-Maxwell Lagrangian may be supplemented with a Chern-Simons term. Starting from the Myers-Perry solutions, we use the…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Masoud Allahverdizadeh , Jutta Kunz , Francisco Navarro-Lerida
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