The classical double copy in maximally symmetric spacetimes

A bstract The classical double copy procedure relates classical asymptotically-flat gravitational field solutions to Yang-Mills and scalar field solutions living in Minkowski space. In this paper we extend this correspondence to maximally symmetric curved spacetimes. We consider asymptotically (A)dS...

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Bibliographic Details
Published in:The journal of high energy physics 2018-04, Vol.2018 (4), p.1-26, Article 28
Main Authors: González, Mariana Carrillo, Penco, Riccardo, Trodden, Mark
Format: Article
Language:English
Subjects:
ASTRONOMY AND ASTROPHYSICS
Black Holes
Branes
Classical and Quantum Gravitation
Elementary Particles
Gauge Symmetry
Gravitational fields
High energy physics
Minkowski space
Physics
Physics and Astronomy
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Scattering Amplitudes
Spacetime
String Theory
Strings
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Summary:A bstract The classical double copy procedure relates classical asymptotically-flat gravitational field solutions to Yang-Mills and scalar field solutions living in Minkowski space. In this paper we extend this correspondence to maximally symmetric curved spacetimes. We consider asymptotically (A)dS spacetimes in Kerr-Schild form and construct the corresponding single and zeroth copies. In order to clarify the interpretation of these copies, we study several examples including (A)dS-Schwarzschild, (A)dS-Kerr, black strings, black branes, and waves, paying particular attention to the source terms. We find that the single and zeroth copies of stationary solutions satisfy different equations than those of wave solutions. We also consider how to obtain Einstein-Maxwell solutions using this procedure. Finally, we derive the classical single and zeroth copy of the BTZ black hole.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP04(2018)028