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The Teukolsky–Starobinsky constants: facts and fictions

Published version
Peer-reviewed

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Abstract

Abstract: The Teukolsky master equation describes the dynamics of massless fields with spin on a Kerr black hole. Under separation of variables, spin-reversal for this equation is accomplished through the so-called Teukolsky–Starobinsky identities. These identities are associated to the so-called Teukolsky–Starobinsky constants, which are spin-dependent. We collect some properties of the Teukolsky–Starobinsky constants and dispel some myths present in the literature. We show that, contrary to popular belief, these constants can be negative for spin larger than 2. Such fields thus exhibit a novel form of energy amplification which occurs for non-superradiant frequencies.

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Keywords

Paper, black holes, linearized gravity, classical general relativity, Teukolsky master equations

Journal Title

Classical and Quantum Gravity

Conference Name

Journal ISSN

0264-9381
1361-6382

Volume Title

38

Publisher

IOP Publishing
Sponsorship
Engineering and Physical Sciences Research Council (EP/L016516/1)
Conselho Nacional de Desenvolvimento Científico e Tecnológico (310200/2017-2)