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String propagation is investigated in de Sitter and black hole backgrounds using both exact and approximative methods. The circular string evolution in de Sitter space is discussed in detail with respect to energy and pressure, mathematical…

High Energy Physics - Theory · Physics 2009-09-25 A. L. Larsen

This paper is devoted to study the energy problem in general relativity using approximate Lie symmetry methods for differential equations. We evaluate second-order approximate symmetries of the geodesic equations for the stringy charged…

General Relativity and Quantum Cosmology · Physics 2011-04-07 M. Sharif , Saira Waheed

We give a fully analytical description of radial and angular geodesics for massive particles that travel in the spacetime provided by a (3+1)-dimensional scale-dependent black hole in the cosmological background, for which, the quantum…

General Relativity and Quantum Cosmology · Physics 2023-07-14 Mohsen Fathi

In this work the possible geodesic completeness of an electromagnetic dipole wormhole is studied in detail. The space-time contains a curvature singularity and belongs to a class of solutions to the Einstein-Maxwell equations with a coupled…

General Relativity and Quantum Cosmology · Physics 2023-03-23 Juan Carlos Del Águila , Tonatiuh Matos

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

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 geodesic motion of massless test particles in the background of a magnetic charged black hole spacetime in four dimensions in dilaton-Maxwell gravity. The behaviour of effective potential in view of the different values of…

General Relativity and Quantum Cosmology · Physics 2015-09-18 Ravi Shankar Kuniyal , Rashmi Uniyal , Hemwati Nandan , K. D. Purohit

We consider the geodesic motion on the symmetric moduli spaces that arise after timelike and spacelike reductions of supergravity theories. The geodesics correspond to timelike respectively spacelike $p$-brane solutions when they are lifted…

High Energy Physics - Theory · Physics 2016-12-15 E. Bergshoeff , W. Chemissany , A. Ploegh , M. Trigiante , T. Van Riet

The Raychaudhuri equation for a geodesic congruence in the presence of a zero-point length has been investigated. This is directly related to the small-scale structure of spacetime and possibly captures some quantum gravity effects. The…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Sumanta Chakraborty , Dawood Kothawala , Alessandro Pesci

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

A recent generalisation of the Raychaudhuri equations for timelike geodesic congruences to families of $D$ dimensional extremal, timelike, Nambu--Goto surfaces embedded in an $N$ dimensional Lorentzian background is reviewed. Specialising…

High Energy Physics - Theory · Physics 2007-05-23 Sayan Kar

In this paper we have studied particle collisions around a charged dilaton black hole in 2+1 dimensions. This black hole is a solution to the low energy string action in 2+1 dimensions. Time-like geodesics for charged particles are studied…

General Relativity and Quantum Cosmology · Physics 2017-05-16 Sharmanthie Fernando

We investigate the geometry of a tidally deformed, rotating black hole and timelike geodesics in its vicinity. Our framework provides a local picture of the structural evolution of a relativistic restricted three-body problem around a…

General Relativity and Quantum Cosmology · Physics 2026-05-07 Takuya Katagiri , Vitor Cardoso

Exact solutions which generalize the Bardeen black hole solution, in the sense that several sources are taken into account, are derived. The most general case corresponds to a charged Bardeen black hole with a cosmological constant and…

General Relativity and Quantum Cosmology · Physics 2025-11-05 F. F. Nascimento , V. B. Bezerra , J. M. Toledo , P. H. Morais , J. C. Rocha

We consider a scalar charge travelling in a curved background spacetime. We calculate the quasi-local contribution to the scalar self-force experienced by such a particle following a geodesic in a general spacetime. We also show that if we…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Adrian C. Ottewill , Barry Wardell

We study the charged black hole solutions of a 2+1 nonlinear electrodynamical theory with cosmological constant. Considered as a one-parameter group of theories (the exponent of the squared Maxwell tensor) the causal structure of all…

General Relativity and Quantum Cosmology · Physics 2025-07-01 Rodrigo Dal Bosco Fontana

The equations of motion of a charged ideal fluid, respectively the superconductivity equation (both in a given magnetic field) are showed to be geodesic equations on a general, respectively central extension of the group of volume…

Differential Geometry · Mathematics 2009-11-07 Cornelia Vizman

This paper investigates tidal forces in multidimensional spherically symmetric spacetimes. We consider geodesic deviation equation in Schwarzschild-Tangherlini metric and its electrically charged analog. It was shown that for radial…

General Relativity and Quantum Cosmology · Physics 2023-01-09 V. P. Vandeev , A. N. Semenova

The null geodesics around the charged black hole spacetimes are investigated in the mimetic gravity framework when Einstein's gravity is coupled to a nonlinear electromagnetic field. The photon paths in nonlinear electrodynamics are…

General Relativity and Quantum Cosmology · Physics 2023-04-18 M. Haditale , B. Malekolkalami

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