Circular orbits around gravitating configurations of phantom scalar fields
Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 4 (2016), pp. 61-78
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In this work we consider general properties of circular orbits in the neighborhood of spherically symmetric static configurations of gravitating phantom scalar fields. In this case the metric area function $C(r)$ (in the quasiglobal coordinates) completely determines the type of a configuration (black hole, naked singularity, wormhole). In any of these cases stable circular orbits can exist only in the region $r\geqslant 3m,\, r\geqslant r_0$, where $r_0$ is a unique minimum point of the function $C(r)$, and $m$ is the mass of the configuration. Wormholes that are symmetric relative to the throat, and topological geons can have circular orbits only on their throats or on the corresponding topological surfaces; at that, possible values of specific angular momentums on the corresponding stable orbits are bounded from above. We also present a classification of the gravitating configurations according to type of their innermost stable circular orbits.
Keywords:
innermost stable circular orbit, phantom scalar field, black hole, wormhole, topological geon.
@article{VTPMK_2016_4_a4,
author = {V. V. Nikonov and I. M. Potashov and A. N. Tsirulev and Yu. V. Tchemarina},
title = {Circular orbits around gravitating configurations of phantom scalar fields},
journal = {Vestnik Tverskogo gosudarstvennogo universiteta. Seri\^a Prikladna\^a matematika},
pages = {61--78},
publisher = {mathdoc},
number = {4},
year = {2016},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VTPMK_2016_4_a4/}
}
TY - JOUR AU - V. V. Nikonov AU - I. M. Potashov AU - A. N. Tsirulev AU - Yu. V. Tchemarina TI - Circular orbits around gravitating configurations of phantom scalar fields JO - Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika PY - 2016 SP - 61 EP - 78 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VTPMK_2016_4_a4/ LA - ru ID - VTPMK_2016_4_a4 ER -
%0 Journal Article %A V. V. Nikonov %A I. M. Potashov %A A. N. Tsirulev %A Yu. V. Tchemarina %T Circular orbits around gravitating configurations of phantom scalar fields %J Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika %D 2016 %P 61-78 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/VTPMK_2016_4_a4/ %G ru %F VTPMK_2016_4_a4
V. V. Nikonov; I. M. Potashov; A. N. Tsirulev; Yu. V. Tchemarina. Circular orbits around gravitating configurations of phantom scalar fields. Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 4 (2016), pp. 61-78. http://geodesic.mathdoc.fr/item/VTPMK_2016_4_a4/