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The first images of black hole shadows open new possibilities to constrain modern extended gravity theories. We present the method of shadow background calculation for black hole solutions in the form of Taylor series where $g_{11} = -…

General Relativity and Quantum Cosmology · Physics 2022-09-07 V. Prokopov , S. Alexeyev , O. Zenin

In this paper I examine black hole and cosmological space-times in Born-Infeld-Einstein theory with electric and magnetic charges. The field equations are derived and written in the form $G_{\mu\nu}=-\kappa T_{\mu\nu}$ for spherically…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Dan N. Vollick

We consider charged black holes with scalar hair obtained in a class of Einstein-Maxwell-scalar models, where the scalar field is coupled to the Maxwell invariant with a quartic coupling function. Besides the Reissner-Nordstr\"om black…

General Relativity and Quantum Cosmology · Physics 2020-11-04 Jose Luis Blázquez-Salcedo , Sarah Kahlen , Jutta Kunz

The current manuscript deals with the tidal force effects, geodesic deviation, and shadow constraints of the Schwarzschild-like black hole theorised in Starobinsky-Bel-Robinson gravity exhibiting M-theory compactification. In the current…

General Relativity and Quantum Cosmology · Physics 2023-10-25 Dhruv Arora , Niyaz Uddin Molla , Himanshu Chaudhary , Ujjal Debnath , Farruh Atamurotov , G. Mustafa

A common feature of regular black hole spacetimes is the presence of an inner Cauchy horizon. The analogy to the Reissner-Nordstr\"om solution then suggests that these geometries suffer from a mass-inflation effect, rendering the Cauchy…

General Relativity and Quantum Cosmology · Physics 2025-07-08 Alfio Bonanno , Antonio Panassiti , Frank Saueressig

We construct regular rotating black hole and no-horizon spacetimes based on the recently introduced spherically symmetric generic regular black hole spacetimes related to electric or magnetic charge under nonlinear electrodynamics coupled…

General Relativity and Quantum Cosmology · Physics 2017-04-25 Bobir Toshmatov , Zdeněk Stuchlík , Bobomurat Ahmedov

We look for spherically symmetric star or black hole solutions on a Randall-Sundrum brane from the perspective of the bulk. We take a known bulk solution, and analyse possible braneworld trajectories within it that correspond, from the…

High Energy Physics - Theory · Physics 2009-11-11 Simon Creek , Ruth Gregory , Panagiota Kanti , Bina Mistry

We investigate black hole solutions with time-dependent (scalar) hair in scalar-tensor theories. Known exact solutions exist for such theories at the background level, where the metric takes on a standard GR form (e.g. Schwarzschild-de…

General Relativity and Quantum Cosmology · Physics 2025-06-11 Sergi Sirera , Johannes Noller

The exact solution of Einstein - Maxwell equations for a Schwarzschild black hole immersed in the static spatially homogeneous AdS${}^2\times\mathbb{S}^2$ space-time of Bertotti-Robinson magnetic universe is presented. In this solution, the…

General Relativity and Quantum Cosmology · Physics 2015-12-22 George A. Alekseev

A number of recent papers have claimed to construct solutions of Einstein's equations describing black holes surrounded by dark-matter halos with empirically motivated density profiles such as the Navarro-Frenk-White, Burkert, Einasto,…

General Relativity and Quantum Cosmology · Physics 2025-12-09 S. V. Bolokhov

In this paper we present a non-singular black hole model as a possible end-product of gravitational collapse. The depicted spacetime which is type [II,(II)], by Petrov classification, is an exact solution of the Einstein equations and…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Manasse R. Mbonye , Demosthenes Kazanas

We extend a recently developed numerical code to obtain stationary, axisymmetric solutions that describe rotating black hole spacetimes in a wide class of modified theories of gravity. The code utilizes a relaxed Newton-Raphson method to…

General Relativity and Quantum Cosmology · Physics 2021-06-30 Andrew Sullivan , Nicolás Yunes , Thomas P. Sotiriou

In this paper, we present charged spherically symmetric black hole solutions and slowly rotating charged solutions in bumblebee gravity with and without a cosmological constant. The static spherically symmetric solutions describe the…

General Relativity and Quantum Cosmology · Physics 2025-03-25 Jia-Zhou Liu , Wen-Di Guo , Shao-Wen Wei , Yu-Xiao Liu

We consider the static, spherically symmetric black hole solutions in bigravity theory for minimal model with a condition $f_{\mu \nu} = C^{2} g_{\mu \nu}$ and evaluate the entropy for black holes. In this condition, we show that there…

High Energy Physics - Theory · Physics 2013-08-27 Taishi Katsuragawa , Shin'ichi Nojiri

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 obtained new hairy black hole solutions in Einstein-scalar theory, including asymptotic flat, de Sitter and anti-de Sitter black holes. The theory is inspired by Ref. [1], where traversable wormhole solutions from an Einstein-phantom…

General Relativity and Quantum Cosmology · Physics 2024-03-19 Xiao-Ping Rao , Hyat Huang , Jinbo Yang

We provide a detailed analysis of the non-twisting subcase of the large class of type D black holes with a non-aligned electromagnetic field, presented recently in [H. Ovcharenko and J. Podolsky, Phys. Rev. D 112 (2025) 064076]. We show…

General Relativity and Quantum Cosmology · Physics 2026-02-18 Hryhorii Ovcharenko , Jiri Podolsky

The static vacuum spherically symmetric solutions in massive gravity are obtained both analytically and numerically. The solutions depend on two parameters (integration constants): the mass M (or, equivalently, the Schwarzschild radius),…

General Relativity and Quantum Cosmology · Physics 2011-06-10 Michael V. Bebronne , Peter G. Tinyakov

The Johannsen-Psaltis spacetime explicitly violates the no hair theorem. It describes rotating black holes with scalar hair in the form of parametric deviations from the Kerr metric. In principle, black hole solutions in any modified theory…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Anslyn John , Chris Stevens