The Teukolsky-Starobinsky constants: facts and fictions
Published version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Casals, M https://orcid.org/0000-0002-8914-4072
Teixeira Da Costa, R https://orcid.org/0000-0002-2567-3821
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.
Description
Keywords
black holes, linearized gravity, classical general relativity, Teukolsky master equations
Journal Title
Classical and Quantum Gravity
Conference Name
Journal ISSN
0264-9381
1361-6382
1361-6382
Volume Title
38
Publisher
IOP Publishing
Publisher DOI
Sponsorship
EPSRC (1992791)
Engineering and Physical Sciences Research Council (EP/L016516/1)
Engineering and Physical Sciences Research Council (EP/L016516/1)