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Hidden conformal symmetries for black holes in modified gravity

Bill Atkins Orcid Logo, Gianmassimo Tasinato Orcid Logo

Physical Review D, Volume: 108, Issue: 10

Swansea University Author: Gianmassimo Tasinato Orcid Logo

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Abstract

We determine hidden conformal symmetries behind the evolution equations of black hole perturbations in a vector-tensor theory of gravity. Such hidden symmetries are valid everywhere in the exterior region of a spherically symmetric, asymptotically flat black hole geometry. They allow us to factorize...

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Published in: Physical Review D
ISSN: 2470-0010 2470-0029
Published: American Physical Society (APS) 2023
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa65168
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Abstract: We determine hidden conformal symmetries behind the evolution equations of black hole perturbations in a vector-tensor theory of gravity. Such hidden symmetries are valid everywhere in the exterior region of a spherically symmetric, asymptotically flat black hole geometry. They allow us to factorize second order operators controlling the black hole perturbations into a product of two commuting first order operators. As a consequence, we are able to analytically determine the most general time-dependent solutions for theblack hole perturbation equations. We focus on solutions belonging to a highest weight representation of a conformal symmetry, showing that they correspond to quasibound states with an ingoing behavior into the black hole horizon, and exponential decay at spatial infinity. Their time dependence is characterized by purely imaginary frequencies, with imaginary parts separated by integer numbers, as the overtones of quasinormal modes in general relativity
Keywords: Alternative Gravity Theories, General relativity
College: Faculty of Science and Engineering
Funders: Partially funded by the STFC Grants No. ST/T000813/1 and No. ST/X000648/1
Issue: 10