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

Ridgway, Alexander K.; Wise, Mark B.

doi:10.1103/PhysRevD.94.044023

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

Journal Article · Thu Aug 11 00:00:00 EDT 2016 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.94.044023· OSTI ID:1596463

Ridgway, Alexander K. ^[1]; Wise, Mark B. ^[1]

California Inst. of Technology (CalTech), Pasadena, CA (United States)

Here, 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. Furthermore, 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.

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Research Organization:: California Institute of Technology (CalTech), Pasadena, CA (United States)

Sponsoring Organization:: USDOE Office of Public Affairs (PA); USDOE Office of Science (SC), High Energy Physics (HEP); Gordon and Betty Moore Foundation

Grant/Contract Number:: SC0011632

OSTI ID:: 1596463

Alternate ID(s):: OSTI ID: 1290319

Journal Information:: Physical Review D, Vol. 94, Issue 4; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 74 works

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Type D spacetimes and the Weyl double copy Luna, Andrés; Monteiro, Ricardo; Nicholson, Isobel Classical and Quantum Gravity, Vol. 36, Issue 6 https://doi.org/10.1088/1361-6382/ab03e6	journal	February 2019
Scattering on plane waves and the double copy Adamo, Tim; Casali, Eduardo; Mason, Lionel Classical and Quantum Gravity, Vol. 35, Issue 1 https://doi.org/10.1088/1361-6382/aa9961	journal	December 2017
The double copy: gravity from gluons White, C. D. Contemporary Physics, Vol. 59, Issue 2 https://doi.org/10.1080/00107514.2017.1415725	journal	January 2018
Spinor-helicity and the algebraic classification of higher-dimensional spacetimes Monteiro, Ricardo; Nicholson, Isobel; O’Connell, Donal Classical and Quantum Gravity, Vol. 36, Issue 6 https://doi.org/10.1088/1361-6382/ab03df	journal	February 2019
Radiation and the classical double copy for color charges Goldberger, Walter D.; Ridgway, Alexander K. arXiv https://doi.org/10.48550/arxiv.1611.03493	text	January 2016
Scattering on plane waves and the double copy Adamo, Tim; Casali, Eduardo; Mason, Lionel arXiv https://doi.org/10.48550/arxiv.1706.08925	text	January 2017
The double copy: gravity from gluons White, Chris D. arXiv https://doi.org/10.48550/arxiv.1708.07056	text	January 2017
Inelastic Black Hole Scattering from Charged Scalar Amplitudes Luna, Andrés; Nicholson, Isobel; O'Connell, Donal arXiv https://doi.org/10.48550/arxiv.1711.03901	text	January 2017
Bound states and the classical double copy Goldberger, Walter D.; Ridgway, Alexander K. arXiv https://doi.org/10.48550/arxiv.1711.09493	text	January 2017
Gravitational radiation from the classical spinning double copy Li, Jingping; Prabhu, Siddharth G. arXiv https://doi.org/10.48550/arxiv.1803.02405	text	January 2018
From Scattering Amplitudes to Classical Potentials in the Post-Minkowskian Expansion Cheung, Clifford; Rothstein, Ira Z.; Solon, Mikhail P. arXiv https://doi.org/10.48550/arxiv.1808.02489	text	January 2018
Spinor-helicity and the algebraic classification of higher-dimensional spacetimes Monteiro, Ricardo; Nicholson, Isobel; O'Connell, Donal arXiv https://doi.org/10.48550/arxiv.1809.03906	text	January 2018
Type D Spacetimes and the Weyl Double Copy Luna, Andres; Monteiro, Ricardo; Nicholson, Isobel arXiv https://doi.org/10.48550/arxiv.1810.08183	text	January 2018
UV considerations on scattering amplitudes in a web of theories Carrasco, John Joseph M.; Rodina, Laurentiu arXiv https://doi.org/10.48550/arxiv.1908.08033	text	January 2019

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