Geodesic motion near self-gravitating scalar field configurations

We study the geodesics motion of neutral test particles in the static spherically symmetric spacetimes of black holes and naked singularities supported by a selfgravitating real scalar field. The scalar field is supposed to model dark matter surrounding some strongly gravitating object such as the c...

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Main Authors: Ivan M. Potashov, Julia V. Tchemarina, Alexander N. Tsirulev
Format: Article
Language:English
Published: Peoples’ Friendship University of Russia (RUDN University) 2019-12-01
Series:Discrete and Continuous Models and Applied Computational Science
Subjects:
Online Access:http://journals.rudn.ru/miph/article/viewFile/22702/17709
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author Ivan M. Potashov
Julia V. Tchemarina
Alexander N. Tsirulev
author_facet Ivan M. Potashov
Julia V. Tchemarina
Alexander N. Tsirulev
author_sort Ivan M. Potashov
collection DOAJ
description We study the geodesics motion of neutral test particles in the static spherically symmetric spacetimes of black holes and naked singularities supported by a selfgravitating real scalar field. The scalar field is supposed to model dark matter surrounding some strongly gravitating object such as the centre of our Galaxy. The behaviour of timelike and null geodesics very close to the centre of such a configuration crucially depends on the type of spacetime. It turns out that a scalar field black hole, analogously to a Schwarzschild black hole, has the innermost stable circular orbit and the (unstable) photon sphere, but their radii are always less than the corresponding ones for the Schwarzschild black hole of the same mass; moreover, these radii can be arbitrarily small. In contrast, a scalar field naked singularity has neither the innermost stable circular orbit nor the photon sphere. Instead, such a configuration has a spherical shell of test particles surrounding its origin and remaining in quasistatic equilibrium all the time. We also show that the characteristic properties of null geodesics near the centres of a scalar field naked singularity and a scalar field black hole of the same mass are qualitatively different.
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spelling doaj.art-560719cb283c420694204c5515fa09d02022-12-22T02:34:39ZengPeoples’ Friendship University of Russia (RUDN University)Discrete and Continuous Models and Applied Computational Science2658-46702658-71492019-12-0127323124110.22363/2658-4670-2019-27-3-231-24118397Geodesic motion near self-gravitating scalar field configurationsIvan M. Potashov0Julia V. Tchemarina1Alexander N. Tsirulev2Tver State UniversityTver State UniversityTver State UniversityWe study the geodesics motion of neutral test particles in the static spherically symmetric spacetimes of black holes and naked singularities supported by a selfgravitating real scalar field. The scalar field is supposed to model dark matter surrounding some strongly gravitating object such as the centre of our Galaxy. The behaviour of timelike and null geodesics very close to the centre of such a configuration crucially depends on the type of spacetime. It turns out that a scalar field black hole, analogously to a Schwarzschild black hole, has the innermost stable circular orbit and the (unstable) photon sphere, but their radii are always less than the corresponding ones for the Schwarzschild black hole of the same mass; moreover, these radii can be arbitrarily small. In contrast, a scalar field naked singularity has neither the innermost stable circular orbit nor the photon sphere. Instead, such a configuration has a spherical shell of test particles surrounding its origin and remaining in quasistatic equilibrium all the time. We also show that the characteristic properties of null geodesics near the centres of a scalar field naked singularity and a scalar field black hole of the same mass are qualitatively different.http://journals.rudn.ru/miph/article/viewFile/22702/17709geodesicblack holenaked singularityscalar field
spellingShingle Ivan M. Potashov
Julia V. Tchemarina
Alexander N. Tsirulev
Geodesic motion near self-gravitating scalar field configurations
Discrete and Continuous Models and Applied Computational Science
geodesic
black hole
naked singularity
scalar field
title Geodesic motion near self-gravitating scalar field configurations
title_full Geodesic motion near self-gravitating scalar field configurations
title_fullStr Geodesic motion near self-gravitating scalar field configurations
title_full_unstemmed Geodesic motion near self-gravitating scalar field configurations
title_short Geodesic motion near self-gravitating scalar field configurations
title_sort geodesic motion near self gravitating scalar field configurations
topic geodesic
black hole
naked singularity
scalar field
url http://journals.rudn.ru/miph/article/viewFile/22702/17709
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AT juliavtchemarina geodesicmotionnearselfgravitatingscalarfieldconfigurations
AT alexanderntsirulev geodesicmotionnearselfgravitatingscalarfieldconfigurations