Exact Solution for Rotating Black Holes in Parity-Violating Gravity

It has recently been pointed out that one can construct invertible conformal transformations with a parity-violating conformal factor, which can be employed to generate a novel class of parity-violating ghost-free metric theories from general relativity. We obtain exact solutions for rotating black...

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Published inProgress of theoretical and experimental physics Vol. 2024; no. 5
Main Authors Tahara, Hiroaki W H, Takahashi, Kazufumi, Minamitsuji, Masato, Motohashi, Hayato
Format Journal Article
LanguageEnglish
Published Oxford Oxford University Press 01.05.2024
Subjects
Black holes
Gravity
Parity
Particle physics
Spacetime
Symmetry
Theory of relativity
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Summary:It has recently been pointed out that one can construct invertible conformal transformations with a parity-violating conformal factor, which can be employed to generate a novel class of parity-violating ghost-free metric theories from general relativity. We obtain exact solutions for rotating black holes in such theories by performing the conformal transformation on the Kerr solution in general relativity, which we dub conformal Kerr solutions. We explore the geodesic motion of a test particle in the conformal Kerr spacetime. While null geodesics remain the same as those in the Kerr spacetime, timelike geodesics exhibit interesting differences due to an effective external force caused by the parity-violating conformal factor.
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ISSN:2050-3911
2050-3911
DOI:10.1093/ptep/ptae046