Black Hole Spin and Stellar Flyby Periastron Shift

For a scenario of a close flyby of a compact star near a spinning black hole, we provide analytical and numerical estimates for the shift of trajectory periastron due to relativistic (beyond post-Newtonian) effects. More specifically, we derived a generalized expression (not limited to quasi-circula...

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Main Authors: Elizabeth P. Tito, Vadim I. Pavlov
Format: Article
Language:English
Published: MDPI AG 2021-09-01
Series:Universe
Subjects:
Online Access:https://www.mdpi.com/2218-1997/7/10/364
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author Elizabeth P. Tito
Vadim I. Pavlov
author_facet Elizabeth P. Tito
Vadim I. Pavlov
author_sort Elizabeth P. Tito
collection DOAJ
description For a scenario of a close flyby of a compact star near a spinning black hole, we provide analytical and numerical estimates for the shift of trajectory periastron due to relativistic (beyond post-Newtonian) effects. More specifically, we derived a generalized expression (not limited to quasi-circular or elliptical orbits) directly linking the periastron shift and the spin of the black hole. The expression permits the estimation of black hole spin based on astronomical tracking of locations of stars traveling along highly eccentric (parabolic and hyperbolic) trajectories in close vicinity of a black hole. We also demonstrate how stars traveling on hyperbolic or parabolic trajectories may be (temporarily) captured onto quasi-circular orbits around black holes, and we quantitatively examine conditions for such scenarios.
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spelling doaj.art-274d11c7535242088091a2fcd4f52c3a2023-11-22T20:13:55ZengMDPI AGUniverse2218-19972021-09-0171036410.3390/universe7100364Black Hole Spin and Stellar Flyby Periastron ShiftElizabeth P. Tito0Vadim I. Pavlov1Scientific Advisory Group, Pasadena, CA 91125, USAScientific Advisory Group, Pasadena, CA 91125, USAFor a scenario of a close flyby of a compact star near a spinning black hole, we provide analytical and numerical estimates for the shift of trajectory periastron due to relativistic (beyond post-Newtonian) effects. More specifically, we derived a generalized expression (not limited to quasi-circular or elliptical orbits) directly linking the periastron shift and the spin of the black hole. The expression permits the estimation of black hole spin based on astronomical tracking of locations of stars traveling along highly eccentric (parabolic and hyperbolic) trajectories in close vicinity of a black hole. We also demonstrate how stars traveling on hyperbolic or parabolic trajectories may be (temporarily) captured onto quasi-circular orbits around black holes, and we quantitatively examine conditions for such scenarios.https://www.mdpi.com/2218-1997/7/10/364spinning black holeKerr metricLagrangiantrajectoryperiastron shift
spellingShingle Elizabeth P. Tito
Vadim I. Pavlov
Black Hole Spin and Stellar Flyby Periastron Shift
Universe
spinning black hole
Kerr metric
Lagrangian
trajectory
periastron shift
title Black Hole Spin and Stellar Flyby Periastron Shift
title_full Black Hole Spin and Stellar Flyby Periastron Shift
title_fullStr Black Hole Spin and Stellar Flyby Periastron Shift
title_full_unstemmed Black Hole Spin and Stellar Flyby Periastron Shift
title_short Black Hole Spin and Stellar Flyby Periastron Shift
title_sort black hole spin and stellar flyby periastron shift
topic spinning black hole
Kerr metric
Lagrangian
trajectory
periastron shift
url https://www.mdpi.com/2218-1997/7/10/364
work_keys_str_mv AT elizabethptito blackholespinandstellarflybyperiastronshift
AT vadimipavlov blackholespinandstellarflybyperiastronshift