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Black Hole Spin and Stellar Flyby Periastron Shift

Tito, Elizabeth P. and Pavlov, Vadim I. (2021) Black Hole Spin and Stellar Flyby Periastron Shift. Universe, 7 (10). Art. No. 364. ISSN 2218-1997. doi:10.3390/universe7100364.

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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.

Item Type:Article
Related URLs:
URLURL TypeDescription
Tito, Elizabeth P.0000-0002-2295-0504
Pavlov, Vadim I.0000-0003-0678-788X
Additional Information:© 2021 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license ( Received: 30 August 2021; Accepted: 26 September 2021; Published: 29 September 2021. This research received no external funding. Author Contributions: Conceptualization and writing, E.P.T. and V.I.P. All authors have read and agreed to the published version of the manuscript. Institutional Review Board Statement: Not applicable. Informed Consent Statement: Not applicable. The authors declare that there is no conflict of interest regarding the publication of this article.
Subject Keywords:spinning black hole; Kerr metric; Lagrangian; trajectory; periastron shift
Issue or Number:10
Record Number:CaltechAUTHORS:20211123-204656813
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Official Citation:Tito, E.P.; Pavlov, V.I. Black Hole Spin and Stellar Flyby Periastron Shift. Universe 2021, 7, 364.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:112018
Deposited By: Tony Diaz
Deposited On:23 Nov 2021 21:42
Last Modified:23 Nov 2021 21:42

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