Conserved charges of the Kerr black hole revisited

Abstract We revisit the Kerr black hole as cast in the Boyer–Lindquist, Kerr–Schild and Weyl canonical coordinates, and calculate its total mass/energy and total angular momentum using linearized gravity along with its background Killing isometries. We argue that the integration of the relevant grav...

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Main Authors: Okan Günel, Özgür Sarıoğlu
Format: Article
Language:English
Published: SpringerOpen 2023-09-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-023-11916-x
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author Okan Günel
Özgür Sarıoğlu
author_facet Okan Günel
Özgür Sarıoğlu
author_sort Okan Günel
collection DOAJ
description Abstract We revisit the Kerr black hole as cast in the Boyer–Lindquist, Kerr–Schild and Weyl canonical coordinates, and calculate its total mass/energy and total angular momentum using linearized gravity along with its background Killing isometries. We argue that the integration of the relevant gravitational flux does not depend on the geometry of the closed and simply connected spatial boundary provided it is also piecewise smooth.
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spelling doaj.art-5cb765b05e4347ec86a34c0ab516c11f2023-10-29T12:34:11ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-09-0183911110.1140/epjc/s10052-023-11916-xConserved charges of the Kerr black hole revisitedOkan Günel0Özgür Sarıoğlu1Department of Physics, Faculty of Arts and Sciences, Middle East Technical UniversityDepartment of Physics, Faculty of Arts and Sciences, Middle East Technical UniversityAbstract We revisit the Kerr black hole as cast in the Boyer–Lindquist, Kerr–Schild and Weyl canonical coordinates, and calculate its total mass/energy and total angular momentum using linearized gravity along with its background Killing isometries. We argue that the integration of the relevant gravitational flux does not depend on the geometry of the closed and simply connected spatial boundary provided it is also piecewise smooth.https://doi.org/10.1140/epjc/s10052-023-11916-x
spellingShingle Okan Günel
Özgür Sarıoğlu
Conserved charges of the Kerr black hole revisited
European Physical Journal C: Particles and Fields
title Conserved charges of the Kerr black hole revisited
title_full Conserved charges of the Kerr black hole revisited
title_fullStr Conserved charges of the Kerr black hole revisited
title_full_unstemmed Conserved charges of the Kerr black hole revisited
title_short Conserved charges of the Kerr black hole revisited
title_sort conserved charges of the kerr black hole revisited
url https://doi.org/10.1140/epjc/s10052-023-11916-x
work_keys_str_mv AT okangunel conservedchargesofthekerrblackholerevisited
AT ozgursarıoglu conservedchargesofthekerrblackholerevisited