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In this paper, we explore the solutions of rotating black holes within the framework of de Rham-Gabadadze-Tolley (dRGT) massive gravity. We provide a detailed, step-by-step analytical derivation of these solutions. Our solutions are…

General Relativity and Quantum Cosmology · Physics 2025-09-17 Ping Li , Jiang-he Yang

The geometry around a rotating massive body, which carries charge and electrical currents, could be described by its multipole moments (mass moments, mass-current moments, electric moments, and magnetic moments). When a small body is…

General Relativity and Quantum Cosmology · Physics 2007-05-23 T. P. Sotiriou , T. A. Apostolatos

We consider the motion of test particles in the regular black hole space-time given by Ay\'{o}n-Beato and Garc\'{\i}a in Phys. Rev. Lett. 80:5056 (1998). The complete set of orbits for neutral and weakly charged test particles is discussed,…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Alberto García , Eva Hackmann , Jutta Kunz , Claus Lämmerzahl , Alfredo Macías

A classification of supersymmetric solutions of five dimensional ungauged supergravity coupled to arbitrary many abelian vector multiplets is used to prove a uniqueness theorem for asymptotically flat supersymmetric black holes with regular…

High Energy Physics - Theory · Physics 2010-02-03 Jan B. Gutowski

In general, the field equation of $f(R)$ gravitational theory is very intricate, and therefore, it is not an easy task to derive analytical solutions. We consider rotating black hole spacetime four-dimensional in the $f(R)$ gravitational…

General Relativity and Quantum Cosmology · Physics 2023-06-14 G. L. N. Nashed , Shin'ichi Nojiri

Recent work on an approach to the geometrodynamics of cylindrical gravity waves in the presence of interacting scalar matter fields, based on the Kucha\v{r} hypertime formalism, is extended to the analogous spherically symmetric system.…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Stephen P. Braham

The general parametrization of spherically symmetric and asymptotically flat black-hole spacetimes in arbitrary metric theories of gravity was suggested in [3]. The parametrization is based on the continued fraction expansion in terms of…

General Relativity and Quantum Cosmology · Physics 2022-05-18 R. A. Konoplya , A. Zhidenko

The observation of the motion of particles and light near a gravitating object is until now the only way to explore and to measure the gravitational field. In the case of exact black hole solutions of the Einstein equations the…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Eva Hackmann , Claus Lämmerzahl

In this paper, we derive the solutions of orbit equations for a class of naked singularity spacetimes, and compare these with timelike orbits, that is, particle trajectories in the Schwarzschild black hole spacetime. The Schwarzschild and…

General Relativity and Quantum Cosmology · Physics 2019-12-11 Parth Bambhaniya , Ashok B. Joshi , Dipanjan Dey , Pankaj S. Joshi

In this paper we systematically study a five-parameters class of spherically symmetric polymer black/white hole solutions, and find that only three independent combinations are physical and uniquely determine the spacetime properties. After…

General Relativity and Quantum Cosmology · Physics 2022-03-16 Wen-Cong Gan , Nilton O. Santos , Fu-Wen Shu , Anzhong Wang

We study the geodesic equation in the space-time of a Kerr black hole pierced by an infinitely thin cosmic string and give the complete set of analytical solutions of this equation for massive and massless particles in terms of Mino time…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Eva Hackmann , Betti Hartmann , Claus Laemmerzahl , Parinya Sirimachan

Modified Newtonian potentials have been proposed for the description of relativistic effects acting on particles and fluids in permanent orbital motion around black holes. Here we further discuss spherically symmetric potentials like the…

High Energy Astrophysical Phenomena · Physics 2015-06-18 V. Karas , M. A. Abramowicz

In this paper, we examine the motion of test particles and relativistic accretion mechanisms within the spacetime of a rotating and embedded BH. In this case, the geometric properties of the metric and their dynamical consequences for…

High Energy Astrophysical Phenomena · Physics 2026-02-06 Asifa Ashraf , Orhan Donmez , Abdelmalek Bouzenada , Chengxun Yuan , Aylin Caliskan , Gulzoda Rakhimova , Ahmadjon Abdujabbarov

Using the general recipe given in arXiv:0804.0009, where all timelike supersymmetric solutions of N=2, D=4 gauged supergravity coupled to abelian vector multiplets were classified, we construct genuine rotating supersymmetric black holes in…

High Energy Physics - Theory · Physics 2011-07-13 Dietmar Klemm

We find and study supergravity BPS bound states of five-dimensional spinning black holes in asymptotically flat spacetime. These solutions follow from multi-string solutions in six-dimensional minimal supergravity and can be uplifted to…

High Energy Physics - Theory · Physics 2017-05-30 P. Marcos Crichigno , Flavio Porri , Stefan Vandoren

In this work, we start by examining a spherically symmetric black hole within the framework of non-commutative geometry and apply a modified Newman-Janis method to obtain a new rotating solution. We then investigate its consequences,…

General Relativity and Quantum Cosmology · Physics 2025-01-07 A. A. Araújo Filho , J. R. Nascimento , A. Yu. Petrov , P. J. Porfírio , Ali Övgün

An exact and analytical solution, in four-dimensional general relativity coupled with Maxwell electromagnetism, is built by means of a Lie point symmetry of the Ernst equations, the Harrison transformation. The new spacetime describes a…

General Relativity and Quantum Cosmology · Physics 2025-11-20 Marco Astorino

Supersymmetric solutions, such as BPS domain walls or black holes, in four- and five-dimensional supergravity theories with eight supercharges can be described by effective quantum mechanics with a potential term. We show how properties of…

High Energy Physics - Theory · Physics 2009-11-07 Klaus Behrndt , Sergei Gukov , Marina Shmakova

Singularity theorems of general relativity utilize the notion of causal geodesic incompleteness as a criterion of the presence of a spacetime singularity. The incompleteness of a causal curve implies the end and/or beginning of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Vladimir S. Mashkevich

Pseudo-Newtonian gravitational potential describing the gravitational field of static and spherically symmetric black holes in the universe with a repulsive cosmological constant is introduced. In order to demonstrate the accuracy of the…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Zdenek Stuchlik , Jiri Kovar
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