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We study the dynamics of test particle and stability of circular geodesics in the gravitational field of a non-commutative geometry inspired Schwarzschild black hole spacetime (NCSBH). The coordinate time Lyapunov exponent ($\lambda_{c}$)…

General Relativity and Quantum Cosmology · Physics 2022-04-20 Shobhit Giri , Hemwati Nandan , Lokesh Kumar Joshi , Sunil D. Maharaj

This paper is devoted to study the geodesic structure of regular Hayward black hole. The timelike and null geodesic have been studied explicitly for radial and non-radial motion. For timelike and null geodesic in radial motion there exists…

General Relativity and Quantum Cosmology · Physics 2015-06-19 G. Abbas , U. Sabiullah

This paper systematically revisits the critical orbits of test particles moving in various black hole backgrounds, including the Schwarzschild, Reissner-Nordstr\"{o}m, Kerr, and Kerr-Newman spacetimes. We identify the critical orbit cases…

General Relativity and Quantum Cosmology · Physics 2026-02-11 Ping Li , Jun Cheng , Jiang-he Yang

In this paper we add a compact dimension to Schwarzschild-(anti-) de sitter and Kerr-(anti-) de sitter spacetimes, which describes (rotating) black string-(anti-) de sitter spacetime. We study the geodesic motion of test particles and light…

General Relativity and Quantum Cosmology · Physics 2017-10-16 Sobhan Kazempour , Reza Saffari , Saheb Soroushfar

Given a smooth globally hyperbolic $(3+1)$-dimensional spacetime satisfying the Einstein vacuum equations (possibly with cosmological constant) and an inextendible timelike geodesic, we construct a family of metrics depending on a small…

General Relativity and Quantum Cosmology · Physics 2024-08-14 Peter Hintz

We study the existence and stability criteria for circular geodesics of spherically symmetric tidal charged black hole~(BH). We investigate in details the equatorial causal geodesics of the tidal charged BH in comparison with spherically…

General Relativity and Quantum Cosmology · Physics 2017-09-26 Parthapratim Pradhan

In this paper, we explored novel feature of the Bocharova-Bronnikov-Melnikov-Bekenstein (BBMB) black hole by analyzing geodesic motion. We first examined its thermodynamics and showed that Hawking temperature equals to zero. We investigated…

General Relativity and Quantum Cosmology · Physics 2025-02-18 Bobur Turimov , Ozodbek Rahimov , Akbak Davlataliev , Pulat Tadjimuratov , Mukhiddin Norkobilov , Shakhzoda Rahimova

In this paper we will study the geodesic motion of massive particles, in a Schwarzschild background, with a semi-classical quantum framework called "Polymer Quantum Mechanics" (PQM) in order to investigate the black hole phenomenology…

General Relativity and Quantum Cosmology · Physics 2025-06-10 Lorenzo Boldorini , Corrado Marzano , Giovanni Montani

Recently Ho$\breve{r}$ava proposed a non-relativistic renormalisable theory of gravitation. When restricted to satisfy the condition of detailed balance, this theory is intimately related to topologically massive gravity in three…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Juhua Chen , Yongjiu Wang

The motion of a neutral particle in the vicinity of a slowly rotating black hole in the Horava-Lifshitz theory of gravity and 3+1 dimensional topological Lifshitz black hole is investigated. Geodesics for radial motion of the particles are…

General Relativity and Quantum Cosmology · Physics 2015-04-16 Ibrar Hussain , Mubasher Jamil , Bushra Majeed

We present analytic stationary and axially-symmetric black hole solutions to the semiclassical Einstein equations that are sourced by the trace anomaly. We also find that the same spacetime geometry satisfies the field equations of a subset…

General Relativity and Quantum Cosmology · Physics 2024-02-14 Pedro G. S. Fernandes

In this work we have obtained a charged black hole solution in the presence of perfect fluid dark matter (PFDM) and discuss its energy conditions. The metric corresponding to the rotating avatar of this black hole solution is obtained by…

General Relativity and Quantum Cosmology · Physics 2021-02-23 Anish Das , Ashis Saha , Sunandan Gangopadhyay

We derive the complete set of geodesic equations for massive and massless, charged test particles of a five-dimensional, rotating and charged solution of the Einstein-Maxwell-Chern-Simons field equations in five-dimensional minimal gauged…

General Relativity and Quantum Cosmology · Physics 2018-09-12 Kevin Eickhoff , Stephan Reimers

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

New Massive Gravity is an alternative theory to General Relativity that is used to describe the gravitational field in a (2+1)-dimensional spacetime. Black hole solutions have been found in this theory, in particular an asymptotically…

General Relativity and Quantum Cosmology · Physics 2017-05-15 Andrés Aceña , Ericson López , Mario Llerena

We study the threshold of gravitational collapse in spherically symmetric spacetimes governed by the Einstein-Maxwell-Vlasov equations. We numerically construct solutions describing a collapsing distribution of charged matter that either…

General Relativity and Quantum Cosmology · Physics 2026-04-14 William E. East

In five-dimensional minimal supergravity, there are spherical black holes with nontrivial topology outside the horizon which have the same conserved charges at infinity as the BMPV solution. We show that some of these black holes have…

High Energy Physics - Theory · Physics 2017-06-13 Gary T. Horowitz , Hari K. Kunduri , James Lucietti

In general relativity, the gyromagnetic ratio for all stationary, axisymmetric and asymptotically flat Einstein-Maxwell fields is known to be g=2. In this paper, we continue our previous works of examination this result for rotating charged…

High Energy Physics - Theory · Physics 2008-11-26 Alikram N. Aliev

The description of many dynamical problems like the particle motion in higher dimensional spherically and axially symmetric space-times is reduced to the inversion of hyperelliptic integrals of all three kinds. The result of the inversion…

General Relativity and Quantum Cosmology · Physics 2011-12-22 Victor Enolski , Betti Hartmann , Valeria Kagramanova , Jutta Kunz , Claus Lämmerzahl , Parinya Sirimachan

This work explores both classical and quantum aspects of an axisymmetric black hole within a non-commutative gauge theory. The rotating solution is derived using a modified Newman-Janis procedure. The analysis begins with the horizon…

General Relativity and Quantum Cosmology · Physics 2026-02-10 A. A. Araújo Filho , N. Heidari , Ali Övgün