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We studied the singularity of the geodesic surface congruence for timelike and null strings using the expansion of the universe in the string theory. We had Raychaudhuri type equation for the expansion. Assuming the stringy strong energy…

General Relativity and Quantum Cosmology · Physics 2011-06-02 Yong Seung Cho , Soon-Tae Hong

In this article we study the geodesic motion of charged particles in the spacetime of an extremal rotating dyonic black hole in Kaluza-Klein theory. We derive the equations of motion and present their analytical solutions in terns of…

General Relativity and Quantum Cosmology · Physics 2020-01-31 Saskia Grunau , Matthias Kruse

For gravitational-wave spacetimes of Shapovalov type III, exact general solutions of geodesic deviation equations and equations of motion of test particles are obtained. Solutions are found in a privileged coordinate system, where the…

General Relativity and Quantum Cosmology · Physics 2023-08-02 Konstantin Osetrin , Evgeny Osetrin , Elena Osetrina

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

In the present work, we theoretically investigate gravitational lensing in the spacetime of a holonomy corrected Schwarzschild black hole. Analytical expressions for the light deflection angle are obtained in both the weak field limit and…

General Relativity and Quantum Cosmology · Physics 2024-08-07 A. R. Soares , C. F. S. Pereira , R. L. L. Vitória

In this note we study bulk timelike geodesics in the presence of a brane-world black hole, where the brane-world is a two-brane moving in a 3+1-dimensional asymptotically $adS_4$ spacetime. We show that for a certain range of the parameters…

High Energy Physics - Theory · Physics 2010-04-06 Andrew Chamblin

We show that the equation of motion for a rigid one-dimensional elastic body (i.e. a rod or string whose speed of sound is equal to the speed of light) in a two-dimensional spacetime is simply the wave equation. We then solve this equation…

General Relativity and Quantum Cosmology · Physics 2019-10-15 Jose Natario

This article investigates the geodesic structure and deflection angle of charged black holes in the presence of a nonzero vacuum expectation value background of the Kalb-Ramond field. Topics explored include null and timelike geodesics,…

General Relativity and Quantum Cosmology · Physics 2024-08-20 Ahmad al-Badawi , Sanjar Shaymatov , Izzet Sakallı

We investigate the evolution of timelike geodesic congruences, in the background of a charged black hole spacetime surrounded with quintessence. The Raychaudhuri equations for three kinematical quantities namely the expansion scalar, shear…

General Relativity and Quantum Cosmology · Physics 2018-03-12 Hemwati Nandan , Rashmi Uniyal

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

Analysis of black hole spacetimes requires study of the motion of particles and light in these spacetimes. Here exact solutions of the geodesic equations are the means of choice. Numerous interesting black hole spacetimes have been analyzed…

General Relativity and Quantum Cosmology · Physics 2022-06-14 Saskia Grunau , Jutta Kunz

The Schwarzschild exterior space-time is conformally related to a direct product space-time, $\mathcal{M}_2 \times S_2$, where $\mathcal{M}_2$ is a two-dimensional space-time. This direct product structure arises naturally when considering…

General Relativity and Quantum Cosmology · Physics 2015-11-18 Marc Casals , Brien C. Nolan

In this work, we investigate geodesics and black hole shadows in the Kerr-Bertotti-Robinson spacetime. We show that the equations of motion for null geodesics are separable and admit analytical treatment, whereas timelike geodesics are…

General Relativity and Quantum Cosmology · Physics 2026-02-12 Xinyu Wang , Yehui Hou , Xi Wan , Minyong Guo , Bin Chen

The scattering of spinning test particles by a Schwarzschild black hole is studied. The motion is described according to the Mathisson-Papapetrou-Dixon model for extended bodies in a given gravitational background field. The equatorial…

General Relativity and Quantum Cosmology · Physics 2018-08-21 Donato Bini , Andrea Geralico

We discuss two dimensional string theories containing gauge fields introduced either via coupling to open strings, in which case we get a Born-Infeld type action, or via heterotic compactification. The solutions to the modified background…

High Energy Physics - Theory · Physics 2011-07-19 Michael D. McGuigan , Chiara R. Nappi , Scott A. Yost

We revisit the problem of computing the self-force on a scalar charge moving along an eccentric geodesic orbit around a Schwarzschild black hole. This work extends previous scalar self-force calculations for circular orbits, which were…

General Relativity and Quantum Cosmology · Physics 2013-11-06 Ian Vega , Barry Wardell , Peter Diener , Samuel Cupp , Roland Haas

In this paper, we investigate the geodesic motion and scalar perturbations of the Ay\'on-Beato-Garc\'ia (ABG) black hole (BH) coupled with a cloud of strings (CS). By employing the effective potential approach, we analyze the trajectories…

General Relativity and Quantum Cosmology · Physics 2025-01-29 Faizuddin Ahmed , Ahmad Al-Badawi , İzzet Sakallı , Sanjar Shaymatov

We use the time-dependent invariant method in a geometric approach (Jacobi fields) to quantize the motion of a free falling point particle in the Schwarzschild black hole. Assuming that the particle comes from infinity, we obtain the…

High Energy Physics - Theory · Physics 2007-05-23 A. C. V. V. de Siqueira , I. A. Pedrosa , E. R. Bezerra de Mello

In this paper, we investigate the null geodesics of the static charged black hole in heterotic string theory. A detailed analysis of the geodesics are done in the Einstein frame as well as in the string frame. In the Einstein frame, the…

High Energy Physics - Theory · Physics 2013-05-30 Sharmanthie Fernando

The gravimagnetic dipole spacetime consists of two counter-rotating black holes of equal mass connected by a Misner string. For a particular distance in between them, the string is tensionless with the black holes at equilibrium with each…

General Relativity and Quantum Cosmology · Physics 2026-02-05 Clémentine Dassy , Jan Govaerts
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