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Gravitational shockwaves on rotating black holes

BenTov, Yoni and Swearngin, Joe (2019) Gravitational shockwaves on rotating black holes. General Relativity and Gravitation, 51 (2). Art. No. 25. ISSN 0001-7701. doi:10.1007/s10714-019-2512-7.

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We present an exact solution of Einstein’s equation that describes the gravitational shockwave of a massless particle on the horizon of a Kerr–Newman black hole. The backreacted metric is of the generalized Kerr–Schild form and is Type II in the Petrov classification. We show that if the background frame is aligned with shear-free null geodesics, and if the background Ricci tensor satisfies a simple condition, then all nonlinearities in the perturbation will drop out of the curvature scalars. We make heavy use of the method of spin coefficients (the Newman–Penrose formalism) in its compacted form (the Geroch–Held–Penrose formalism).

Item Type:Article
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URLURL TypeDescription Paper ReadCube access
BenTov, Yoni0000-0002-6664-5106
Additional Information:© 2019 Springer Science+Business Media, LLC, part of Springer Nature. Received: 26 February 2018; Accepted: 29 January 2019; First Online: 04 February 2019. We thank Jan Willem Dalhuisen, Aaron Zimmerman, David Nichols, Christopher White, Dave Aasen, Nick Hunter-Jones, Alex Rasmussen, Yonah Lemonik, Douglas Stanford, and Saul Teukolsky for insightful discussions at various points in this endeavor. Y. B. especially thanks Justin Wilson, Leo Stein, and Alexei Kitaev. J. S. especially thanks Dirk Bouwmeester. Y. B. is funded by the Institute for Quantum Information and Matter (NSF Grant PHY-1125565) with support from the Simons Foundation (Award No. 376205). J. S. is funded by a UCSB Central Fellowship.
Group:Institute for Quantum Information and Matter
Funding AgencyGrant Number
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Simons Foundation376205
University of California, Santa BarbaraUNSPECIFIED
Subject Keywords:Exact solution; Rotating black hole; Differential geometry; General relativity; Kerr-Newman metric; Dray–’t Hooft; Gravitational shockwave; Newman–Penrose formalism; Geroch–Held–Penrose formalism
Issue or Number:2
Record Number:CaltechAUTHORS:20190204-101752686
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Official Citation:BenTov, Y. & Swearngin, J. Gen Relativ Gravit (2019) 51: 25.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:92622
Deposited By: Tony Diaz
Deposited On:04 Feb 2019 18:41
Last Modified:16 Nov 2021 03:52

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