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We discuss constants of motion of a particle under an external field in a curved spacetime, taking into account the Hamiltonian constraint which arises from reparametrization invariance of the particle orbit. As the necessary and sufficient…

General Relativity and Quantum Cosmology · Physics 2011-05-10 Takahisa Igata , Tatsuhiko Koike , Hideki Ishihara

Within Einstein-Dirac-Maxwell theory, we consider a wormhole solution supported by a complex non-phantom spinor field with a bare mass of the order of the Planck mass (which provides a nontrivial spacetime topology and an intrinsic angular…

General Relativity and Quantum Cosmology · Physics 2026-04-21 Vladimir Dzhunushaliev , Vladimir Folomeev

The motion of a stellar compact object around a supermassive black hole can be approximated by the motion of a spinning test particle. The equations of motion describing such systems are in general non-integrable, and therefore, chaotic…

General Relativity and Quantum Cosmology · Physics 2019-03-06 Georgios Lukes-Gerakopoulos

Since the development of Relativity theory, a variety of solutions have been found around Einstein field equations, depending on the time-space. For instance, we can find the axially symmetric space which describes a rotanting black hole.…

General Relativity and Quantum Cosmology · Physics 2014-09-08 Jonathan Pineda , Leonardo Castañeda , Juan Manuel Tejeiro

In recent, Kar.S et.al [ Phys Rev D 67,044005 (2003) ] have obtained static spherically symmetric solutions of the Einstein-Kalb-Ramond field equations. We have shown that their solutions, indeed, represent Wormholes.

General Relativity and Quantum Cosmology · Physics 2010-11-11 F. Rahaman , M. Kalam , A. Ghosh

In this talk I discuss pertinence of the wormholes to the problem of circumventing the light speed barrier and present a specific class of wormholes. The wormholes of this class are static and have arbitrarily wide throats, which makes them…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. V. Krasnikov

Geodesic equations of timelike and null charged particles in the Ernst metric are studied. We consider two distinct forms of the Ernst solution where the Maxwell potential represents either a uniform electric or magnetic field. Circular…

General Relativity and Quantum Cosmology · Physics 2015-02-04 Yen-Kheng Lim

Using the effective metric formalism for photons in a nonlinear electromagnetic theory, we show that a certain field configuration in Born-Infeld electromagnetism in flat spacetime can be interpreted as an ultrastatic spherically symmetric…

General Relativity and Quantum Cosmology · Physics 2009-10-31 F. Baldovin , M. Novello , S. E. Perez Bergliaffa , J. M. Salim

The aim of this paper is to report on the existence of a wide variety of exact solutions, ranging from black holes to wormholes, when a conformally coupled scalar field with a self interacting potential containing a linear, a cubic and a…

High Energy Physics - Theory · Physics 2015-06-03 Andres Anabalon , Adolfo Cisterna

The present work is an attempt to find possible traversable wormhole solutions in static spherically symmetric space-time supported by anisotropic matter field. Part of the work could be considered as a generalization of the work in Phys.…

General Relativity and Quantum Cosmology · Physics 2019-03-11 Shibaji Halder , Subhra Bhattacharya , Subenoy Chakraborty

In this paper we examine the dynamics of particles subjected to test Papapetrou fields of vacuum spacetimes. The staring point of our analysis is based on fundamental electrodynamics which emerge from spacetime isometries of a Kerr and…

General Relativity and Quantum Cosmology · Physics 2024-02-14 Rodrigo Maier

We present a generalized Newtonian description of particle dynamics valid for any spherically symmetric, static black hole spacetime. This approach is derived from the geodesic motion of test particles in the low-energy limit. It reproduces…

General Relativity and Quantum Cosmology · Physics 2014-02-07 Emilio Tejeda , Stephan Rosswog

In this methodological paper we consider geodesic motion of particles in a spherically symmetric black hole space-times. We develop an approach based on splitting the velocity of a freely falling particle to the flow velocity, which depends…

General Relativity and Quantum Cosmology · Physics 2021-06-03 A. Toporensky , O. Zaslavskii

Traversible wormhole space-times are found as static, spherically symmetric solutions to the Einstein equations with ingoing and outgoing pure ghost radiation, i.e. pure radiation with negative energy density. Switching off the radiation…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Sean A. Hayward

We analyse test particle's trajectories around the geometry of a Schwarzschild black hole. In order to resemble sections of jets in the neighborhood of a black hole, we consider the conserved quantities corresponding to constraints imposed…

General Relativity and Quantum Cosmology · Physics 2017-01-11 E. A. León , J. A. Nieto , E. Ríos

In this paper, we studied the geodesics of timelike and null like particles near an improved Schwarzschild black hole. The lapse function has been plotted and was found that only one horizon is possible. The equation of motion and effective…

General Relativity and Quantum Cosmology · Physics 2023-11-01 Surajit Mandal

In this paper we review some properties for the evolving wormhole solution of Einstein equations coupled with nonlinear electrodynamics. We integrate the geodesic equations in the effective geometry obeyed by photons; we check out the weak…

General Relativity and Quantum Cosmology · Physics 2010-01-08 Aaron V. B. Arellano , Nora Breton , Ricardo Garcia-Salcedo

In this work we explore the possible existence of static, spherically symmetric and stationary, axisymmetric traversable wormholes coupled to nonlinear electrodynamics. Considering static and spherically symmetric (2+1) and…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Aaron V. B. Arellano , Francisco S. N. Lobo

Geodesic motion in traversable Schwarzschild and Kerr thin-shell wormholes constructed by the cut-and-paste method introduced by Visser (1989 Nucl. Phys. B 328 203; 1995 Wormholes: from Einstein to Hawking (Woodbury, MN: American Institute…

General Relativity and Quantum Cosmology · Physics 2015-06-12 V. Diemer , E. Smolarek

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