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We construct some new classes of topological black hole solutions in the context of mimetic gravity. We study the uncharged and charged black holes, separately. In the absence of a potential for the mimetic field, our solutions can address…

General Relativity and Quantum Cosmology · Physics 2021-11-17 Ahmad Sheykhi , Saskia Grunau

We consider here the decay of unstable particles in geodesic circular motion around compact objects. For the neutron, in particular, strong and weak decay are calculated by means of a semiclassical approach. Noticeable effects are expected…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Douglas Fregolente , Alberto Saa

Horizon scale imaging and precision lensing have turned black holes into quantitative laboratories for strong gravity and for non standard electromagnetic physics. We study the optical appearance and orbital dynamics of a new class of…

General Relativity and Quantum Cosmology · Physics 2026-03-12 İlim İrfan Çimdiker , Ali Övgün , Yosef Verbin

This article investigates the presence of a static spherically symmetric solution in the metric f(R) gravity. Consequently, we have examined the presence of horizons for the extreme and hyperextreme Schwarzschild-de Sitter solution.…

General Relativity and Quantum Cosmology · Physics 2024-01-30 Devansh Shukla , Kamlesh Pathak

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

A static, asymptotically flat, spherically symmetric solutions is investigated in f(R) theories of gravity for a charged black hole. We have studied the weak field limit of f(R) gravity for the some f(R) model such as f(R) = R + epsilon…

General Relativity and Quantum Cosmology · Physics 2011-09-13 A. Aghamohammadi , Kh. Saaidi , M. R. Abolhasani , A. Vajdi

We analyze the null geodesics of regular black holes. A detailed analysis of geodesic structure both null geodesics and time-like geodesics have been investigated for the said black hole. As an application of null geodecics, we calculate…

General Relativity and Quantum Cosmology · Physics 2021-10-27 Monimala Mondal , Anil Kumar Yadav , Parthapratim Pradhan , Sayeedul Islam , Farook Rahaman

We study the motion of neutral test particles along circular orbits in the Reissner-Nordstr\"om spacetime. We use the method of the effective potential with the constants of motion associated to the underlying Killing symmetries. A…

General Relativity and Quantum Cosmology · Physics 2010-03-16 Daniela Pugliese , Hernando Quevedo , Remo Ruffini

We consider compact binary systems, modeled in general relativity as vacuum or perfect-fluid spacetimes with a helical Killing vector k^\alpha, heuristically, the generator of time-translations in a corotating frame. Systems that are…

General Relativity and Quantum Cosmology · Physics 2014-11-17 John L. Friedman , Koji Uryu , Masaru Shibata

We consider the spherically symmetric, asymptotically flat Einstein-Vlasov system. We find explicit conditions on the initial data, with ADM mass M, such that the resulting spacetime has the following properties: there is a family of…

General Relativity and Quantum Cosmology · Physics 2011-01-24 Hakan Andreasson , Markus Kunze , Gerhard Rein

We consider test particle motion in a gravitational field generated by a homogeneous circular ring placed in $n$-dimensional Euclidean space. We observe that there exist no stable stationary orbits in $n=6, 7, \ldots, 10$ but exist in $n=3,…

General Relativity and Quantum Cosmology · Physics 2020-08-18 Takahisa Igata

The non-equatorial spherical null geodesics of rotating Kerr black holes are studied analytically. Unlike the extensively studied equatorial circular orbits whose radii are known analytically, no closed-form formula exists in the literature…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Shahar Hod

We introduce a two-parameter static, nonspherically-symmetric black hole solution in the Einstein theory of gravity coupled with a massless scalar field. The scalar field depends only on the polar coordinate $\theta$ in the spherical…

General Relativity and Quantum Cosmology · Physics 2025-02-21 S. Habib Mazharimousavi

We consider circular particle motion under the action of an unspecified force in a static spherically symmetric spacetime. We derive the machinery that allows one to find the force acting on a circular particle and deduce whether its…

General Relativity and Quantum Cosmology · Physics 2026-03-30 Hryhorii Ovcharenko , O. B. Zaslavskii

We provide an exhaustive and illustrated classification of timelike and null geodesics in the near-horizon region of near-extremal Kerr black holes. The classification of polar motion extends to Kerr black holes of arbitrary spin. The…

General Relativity and Quantum Cosmology · Physics 2020-06-24 Geoffrey Compère , Adrien Druart

An asymptotically flat hairy black hole (HBH) can exhibit distinct characteristics when compared to the Schwarzschild black hole, due to the evasion of no-hair theorem by minimally coupling the Einstein gravity with a scalar potential which…

General Relativity and Quantum Cosmology · Physics 2025-03-26 Hongyu Chen , Wei Fan , Xiao Yan Chew

In this paper we consider the motion of a rotating black hole through a static, homogeneous, massless scalar field. In the general case, a constant vector of the field gradient can be timelike, spacelike or null. We consider and compare all…

General Relativity and Quantum Cosmology · Physics 2024-08-29 Valeri P. Frolov , Alex Koek

The time-like structure of the four-dimensional asymptotically flat Horndeski black holes is studied in detail. Focusing on the motion of massive neutral test particles, we construct the corresponding effective potential and classify the…

General Relativity and Quantum Cosmology · Physics 2025-11-04 D. A. Carvajal , P. A. González , Marco Olivares , Eleftherios Papantonopoulos , Yerko Vásquez

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

In this paper, we aim to examine the relationship between the unstable circular photon orbit and the thermodynamic phase transition for a rotating Kerr-AdS black hole. On one side, we give a brief review of the phase transition for the…

General Relativity and Quantum Cosmology · Physics 2019-02-20 Shao-Wen Wei , Yu-Xiao Liu , Yong-Qiang Wang