Inspirals from the innermost stable circular orbit of Kerr black holes: exact solutions and universal radial flow

We present exact solutions of test particle orbits spiraling inward from the innermost stable circular orbit (ISCO) of a Kerr black hole. Our results are valid for any allowed value of the angular momentum a parameter of the Kerr metric. These solutions are of considerable physical interest. In part...

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Main Authors: Mummery, AP, Balbus, S
Format: Journal article
Language:English
Published: American Physical Society 2022
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author Mummery, AP
Balbus, S
author_facet Mummery, AP
Balbus, S
author_sort Mummery, AP
collection OXFORD
description We present exact solutions of test particle orbits spiraling inward from the innermost stable circular orbit (ISCO) of a Kerr black hole. Our results are valid for any allowed value of the angular momentum a parameter of the Kerr metric. These solutions are of considerable physical interest. In particular, the radial four-velocity of these orbits is both remarkably simple and, with the radial coordinate scaled by its ISCO value, universal in form, otherwise completely independent of the black hole spin.
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spelling oxford-uuid:f177369f-c707-4784-8cad-e351fd68d5c72022-11-07T12:19:51ZInspirals from the innermost stable circular orbit of Kerr black holes: exact solutions and universal radial flowJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:f177369f-c707-4784-8cad-e351fd68d5c7EnglishSymplectic ElementsAmerican Physical Society2022Mummery, APBalbus, SWe present exact solutions of test particle orbits spiraling inward from the innermost stable circular orbit (ISCO) of a Kerr black hole. Our results are valid for any allowed value of the angular momentum a parameter of the Kerr metric. These solutions are of considerable physical interest. In particular, the radial four-velocity of these orbits is both remarkably simple and, with the radial coordinate scaled by its ISCO value, universal in form, otherwise completely independent of the black hole spin.
spellingShingle Mummery, AP
Balbus, S
Inspirals from the innermost stable circular orbit of Kerr black holes: exact solutions and universal radial flow
title Inspirals from the innermost stable circular orbit of Kerr black holes: exact solutions and universal radial flow
title_full Inspirals from the innermost stable circular orbit of Kerr black holes: exact solutions and universal radial flow
title_fullStr Inspirals from the innermost stable circular orbit of Kerr black holes: exact solutions and universal radial flow
title_full_unstemmed Inspirals from the innermost stable circular orbit of Kerr black holes: exact solutions and universal radial flow
title_short Inspirals from the innermost stable circular orbit of Kerr black holes: exact solutions and universal radial flow
title_sort inspirals from the innermost stable circular orbit of kerr black holes exact solutions and universal radial flow
work_keys_str_mv AT mummeryap inspiralsfromtheinnermoststablecircularorbitofkerrblackholesexactsolutionsanduniversalradialflow
AT balbuss inspiralsfromtheinnermoststablecircularorbitofkerrblackholesexactsolutionsanduniversalradialflow