Particle motion near highspin black holes
Abstract
General relativity predicts that the Kerr black hole develops qualitatively new and surprising features in the limit of maximal spin. Surprisingly, the region of spacetime near the event horizon stretches into an infinitely long throat and displays an emergent conformal symmetry. Understanding dynamics in this NHEK (NearHorizon Extreme Kerr) geometry is necessary for connecting theory to upcoming astronomical observations of highspin black holes. Furthermore, we review essential properties of NHEK and its relationship to the rapidly rotating Kerr black hole. We then completely solve the geodesic equation in the NHEK region and describe how the resulting trajectories transform under the action of its enhanced symmetries. In the process, we derive explicit expressions for the angular integrals appearing in the Kerr geodesic equation and obtain a useful formula, valid at arbitrary spin, for a particle's polar angle in terms of its radial motion. These results will aid in the analytic computation of astrophysical observables relevant to ongoing and future experiments.
 Authors:

 Inst. for Advanced Study, Princeton, NJ (United States). School of Natural Sciences
 Harvard Univ., Cambridge, MA (United States). Center for the Fundamental Laws of Nature and Society of Fellows
 Publication Date:
 Research Org.:
 Institute for Advanced Study, Princeton, NJ (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF)
 OSTI Identifier:
 1596657
 Grant/Contract Number:
 SC0009988
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Classical and Quantum Gravity
 Additional Journal Information:
 Journal Volume: 37; Journal Issue: 1; Journal ID: ISSN 02649381
 Publisher:
 IOP Publishing
 Country of Publication:
 United States
 Language:
 English
 Subject:
 79 ASTRONOMY AND ASTROPHYSICS; black hole; Kerr geodesics; NHEK
Citation Formats
Kapec, Daniel, and Lupsasca, Alexandru. Particle motion near highspin black holes. United States: N. p., 2019.
Web. doi:10.1088/13616382/ab519e.
Kapec, Daniel, & Lupsasca, Alexandru. Particle motion near highspin black holes. United States. https://doi.org/10.1088/13616382/ab519e
Kapec, Daniel, and Lupsasca, Alexandru. Tue .
"Particle motion near highspin black holes". United States. https://doi.org/10.1088/13616382/ab519e. https://www.osti.gov/servlets/purl/1596657.
@article{osti_1596657,
title = {Particle motion near highspin black holes},
author = {Kapec, Daniel and Lupsasca, Alexandru},
abstractNote = {General relativity predicts that the Kerr black hole develops qualitatively new and surprising features in the limit of maximal spin. Surprisingly, the region of spacetime near the event horizon stretches into an infinitely long throat and displays an emergent conformal symmetry. Understanding dynamics in this NHEK (NearHorizon Extreme Kerr) geometry is necessary for connecting theory to upcoming astronomical observations of highspin black holes. Furthermore, we review essential properties of NHEK and its relationship to the rapidly rotating Kerr black hole. We then completely solve the geodesic equation in the NHEK region and describe how the resulting trajectories transform under the action of its enhanced symmetries. In the process, we derive explicit expressions for the angular integrals appearing in the Kerr geodesic equation and obtain a useful formula, valid at arbitrary spin, for a particle's polar angle in terms of its radial motion. These results will aid in the analytic computation of astrophysical observables relevant to ongoing and future experiments.},
doi = {10.1088/13616382/ab519e},
journal = {Classical and Quantum Gravity},
number = 1,
volume = 37,
place = {United States},
year = {2019},
month = {12}
}
Web of Science
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