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Static spherically symmetric Kerr-Schild metrics and implications for the classical double copy

Ridgway, Alexander K. and Wise, Mark B. (2016) Static spherically symmetric Kerr-Schild metrics and implications for the classical double copy. Physical Review D, 94 (4). Art. No. 044023. ISSN 2470-0010. http://resolver.caltech.edu/CaltechAUTHORS:20160811-110734508

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Abstract

We discuss the physical interpretation of stress-energy tensors that source static spherically symmetric Kerr-Schild metrics. We find that the sources of such metrics with no curvature singularities or horizons do not simultaneously satisfy the weak and strong energy conditions. Sensible stress-energy tensors usually satisfy both of them. Under most circumstances, these sources are not perfect fluids and contain shear stresses. We show that for these systems the classical double copy associates the electric charge density to the Komar energy density. In addition, we demonstrate that the stress-energy tensors are determined by the electric charge density and their conservation equations.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevD.94.044023DOIArticle
http://journals.aps.org/prd/abstract/10.1103/PhysRevD.94.044023PublisherArticle
http://arxiv.org/abs/1512.02243arXivDiscussion Paper
Additional Information:© 2016 American Physical Society. (Received 4 March 2016; published 11 August 2016) We thank Zvi Bern, Sean Carroll, Clifford Cheung and Donal O’Connell for useful discussions. M. B. W. would also like to thank Latham Boyle. This work was supported by the Gordon and Betty Moore Foundation through Grant No. 776 to the Caltech Moore Center for Theoretical Cosmology and Physics, and by the Department of Energy Grant No. DE-SC0011632. We are also grateful for the support provided by the Walter Burke Institute for Theoretical Physics.
Group:Walter Burke Institute for Theoretical Physics, Moore Center for Theoretical Cosmology and Physics
Funders:
Funding AgencyGrant Number
Gordon and Betty Moore Foundation776
Caltech Moore Center for Theoretical Cosmology and PhysicsUNSPECIFIED
Department of Energy (DOE)DE-SC0011632
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Record Number:CaltechAUTHORS:20160811-110734508
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20160811-110734508
Official Citation:Static spherically symmetric Kerr-Schild metrics and implications for the classical double copy Alexander K. Ridgway and Mark B. Wise Phys. Rev. D 94, 044023
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:69568
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:11 Aug 2016 22:05
Last Modified:11 Aug 2016 22:05

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