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In this article the geodesic motion of test particles in the spacetime of a supersymmetric AdS$_5$ black hole is studied. The equations of motion are derived and solved in terms of the Weierstrass $\wp$, $\sigma$ and $\zeta$ functions.…

General Relativity and Quantum Cosmology · Physics 2020-06-29 Jens-Christian Drawer , Saskia Grunau

In this article we study the geodesic motion of test particles and light in the five-dimensional (rotating) black string spacetime. If a compact dimension is added to the four-dimensional Schwarzschild or Kerr spacetime, the new…

General Relativity and Quantum Cosmology · Physics 2013-11-20 Saskia Grunau , Bhavesh Khamesra

We study the timelike geodesics and geodesic deviation for a two-dimensional stringy blackhole spacetime in Schwarzschild gauge. We have analyzed the properties of effective potential along with the structure of the possible orbits for test…

General Relativity and Quantum Cosmology · Physics 2014-09-23 Rashmi Uniyal , Hemwati Nandan , K. D. Purohit

In this article we study the geodesic motion of test particles and light in the five-dimensional Myers-Perry-anti de Sitter spacetime. We derive the equations of motion and present their solutions in terms of the Weierstra{\ss} $\wp$-,…

General Relativity and Quantum Cosmology · Physics 2018-02-12 Saskia Grunau , Hendrik Neumann , Stephan Reimers

In this article we analyze the geodesics of test particles and light in the five dimensional (charged) doubly spinning black ring spacetime. Apparently it is not possible to separate the Hamilton-Jacobi-equation for (charged) doubly…

General Relativity and Quantum Cosmology · Physics 2013-03-27 Saskia Grunau , Valeria Kagramanova , Jutta Kunz

We present analytical solutions of the geodesic equations of test particles and light in the five dimensional singly spinning black ring spacetime for special cases, since it does not appear possible to separate the Hamilton-Jacobi-equation…

General Relativity and Quantum Cosmology · Physics 2012-12-05 Saskia Grunau , Valeria Kagramanova , Jutta Kunz , Claus Lämmerzahl

We consider computational complexity of AdS_5 black holes. Our system contains a particle moving on the boundary of AdS. This corresponds to the insertion of a fundamental string in AdS_5 bulk spacetime. Our results give a constraint for…

High Energy Physics - Theory · Physics 2018-01-03 Koichi Nagasaki

We review the recent developements in the stability problem and phase diagram for asymptotically locally $AdS$ black strings. First, we quickly review the case of locally flat black string before turning to the case of locally $AdS$…

High Energy Physics - Theory · Physics 2009-04-24 T. Delsate

In this paper, we study the geodesic motion in the spacetime of a SU(2)-colored (A)dS black hole in conformal gravity, and also we investigate spacetime features, such as light spheres and horizons. Moreover, we derive the analytical…

General Relativity and Quantum Cosmology · Physics 2021-05-10 Bahareh Hoseini , Reza Saffari , Saheb Soroushfar

The relative motion of many particles can be described by the geodesic deviation equation. This can be derived from the second covariant variation of the point particle's action. It is shown that the second covariant variation of the string…

General Relativity and Quantum Cosmology · Physics 2011-04-04 Mark D. Roberts

We investigate the geodesic motion of test particles around a charged Euler-Heisenberg Anti-de Sitter black hole (CEH-AdS-BH) with a cloud of strings (CoS) and surrounded by perfect fluid dark matter (PFDM). Our analysis examines how the…

General Relativity and Quantum Cosmology · Physics 2025-09-17 Faizuddin Ahmed , Ahmad Al-Badawi , İzzet Sakallı

We introduce an exactly solvable example of timelike geodesic motion and geodesic deviation in the background geometry of a well-known two-dimensional black hole spacetime. The effective potential for geodesic motion turns out to be either…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Ratna Koley , Supratik Pal , Sayan Kar

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

BTZ spacetime is a long-known locally AdS solution to the Einstein equations in 1 timelike and 2 spacelike dimensions. Its static variant is interpreted as a black hole whose mass is related to the period of the angular coordinate. This…

General Relativity and Quantum Cosmology · Physics 2025-10-03 Petr Lukeš , Pavel Krtouš

We study the geodesic equation in the space-time of an Abelian-Higgs string and discuss the motion of massless and massive test particles. The geodesics can be classified according to the particles energy, angular momentum and linear…

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

We study the geodesic equations in the space-time of a Schwarzschild black hole pierced by an infinitely thin cosmic string and give the complete set of analytical solutions of these equations for massive and massless particles,…

General Relativity and Quantum Cosmology · Physics 2010-04-21 Eva Hackmann , Betti Hartmann , Claus Laemmerzahl , Parinya Sirimachan

In this study, we investigate the motion of charged, neutral, and light-like particles in a magnetized black hole solution surrounded by a cloud of strings in an anti-de Sitter (AdS) background. This spacetime admits several well-known…

General Relativity and Quantum Cosmology · Physics 2025-05-15 Ahmad Al-Badawi , Faizuddin Ahmed , İzzet Sakallı , Sanjar Shaymatov

We study both massive and massless particle's geodesic motion in the background of general dimensional AdS-Sol space-time. We find that the massive particles oscillate along the radial direction, while massless particles experience one-time…

High Energy Physics - Theory · Physics 2016-03-30 Han-qing Shi , Ding-fang Zeng

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

General Relativity and Quantum Cosmology · Physics 2016-12-07 Stephan Reimers , Shruti Paranjape

In this work we review the classification of geodesics of massive test particles in the gravitational background of the black hole solutions of Einstein-Born-Infeld spacetime. Even though some features are quite similar to those of…

General Relativity and Quantum Cosmology · Physics 2015-08-05 Román Linares , Marco Maceda , Daniel Martínez-Carbajal
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