Timelike geodesics around a charged spherically symmetric dilaton black hole

In this paper we study the timelike geodesics around a spherically symmetric charged dilaton black hole. The trajectories around the black hole are classified using the effective potential of a free test particle. This qualitative approach enables us to determine the type of orbit described...

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Main Author: Blaga C.
Format: Article
Language:English
Published: Astronomical Observatory, Department of Astronomy, Belgrade 2015-01-01
Series:Serbian Astronomical Journal
Subjects:
Online Access:http://www.doiserbia.nb.rs/img/doi/1450-698X/2015/1450-698X1590041B.pdf
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author Blaga C.
author_facet Blaga C.
author_sort Blaga C.
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description In this paper we study the timelike geodesics around a spherically symmetric charged dilaton black hole. The trajectories around the black hole are classified using the effective potential of a free test particle. This qualitative approach enables us to determine the type of orbit described by test particle without solving the equations of motion, if the parameters of the black hole and the particle are known. The connections between these parameters and the type of orbit described by the particle are obtained. To visualize the orbits we solve numerically the equation of motion for different values of parameters envolved in our analysis. The effective potential of a free test particle looks different for a non-extremal and an extremal black hole, therefore we have examined separately these two types of black holes.
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spelling doaj.art-133d94cb850945389056cacccff5b5482022-12-22T00:40:41ZengAstronomical Observatory, Department of Astronomy, BelgradeSerbian Astronomical Journal1450-698X2015-01-012015190414810.2298/SAJ1590041B1450-698X1590041BTimelike geodesics around a charged spherically symmetric dilaton black holeBlaga C.0Babeş-Bolyai University Cluj-Napoca, Faculty of Mathematics and Computer Science, Cluj-Napoca, RomaniaIn this paper we study the timelike geodesics around a spherically symmetric charged dilaton black hole. The trajectories around the black hole are classified using the effective potential of a free test particle. This qualitative approach enables us to determine the type of orbit described by test particle without solving the equations of motion, if the parameters of the black hole and the particle are known. The connections between these parameters and the type of orbit described by the particle are obtained. To visualize the orbits we solve numerically the equation of motion for different values of parameters envolved in our analysis. The effective potential of a free test particle looks different for a non-extremal and an extremal black hole, therefore we have examined separately these two types of black holes.http://www.doiserbia.nb.rs/img/doi/1450-698X/2015/1450-698X1590041B.pdfblack hole physicsgravitationrelativistic processes
spellingShingle Blaga C.
Timelike geodesics around a charged spherically symmetric dilaton black hole
Serbian Astronomical Journal
black hole physics
gravitation
relativistic processes
title Timelike geodesics around a charged spherically symmetric dilaton black hole
title_full Timelike geodesics around a charged spherically symmetric dilaton black hole
title_fullStr Timelike geodesics around a charged spherically symmetric dilaton black hole
title_full_unstemmed Timelike geodesics around a charged spherically symmetric dilaton black hole
title_short Timelike geodesics around a charged spherically symmetric dilaton black hole
title_sort timelike geodesics around a charged spherically symmetric dilaton black hole
topic black hole physics
gravitation
relativistic processes
url http://www.doiserbia.nb.rs/img/doi/1450-698X/2015/1450-698X1590041B.pdf
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