Black hole perturbations of massive and partially massless spin-2 fields in (anti) de Sitter spacetime

Rosen, Rachel A.; Santoni, Luca

doi:10.1007/jhep03(2021)139

Title: Black hole perturbations of massive and partially massless spin-2 fields in (anti) de Sitter spacetime

Journal Article · Mon Mar 15 00:00:00 EDT 2021 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep03(2021)139· OSTI ID:1851575

Rosen, Rachel A. ^[1];

^[1]

Columbia Univ., New York, NY (United States). Dept. of Physics

We provide a systematic and comprehensive derivation of the linearized dynamics of massive and partially massless spin-2 particles in a Schwarzschild (anti) de Sitter black hole background, in four and higher spacetime dimensions. In particular, we show how to obtain the quadratic actions for the propagating modes and recast the resulting equations of motion in a Schrödinger-like form. In the case of partially massless fields in Schwarzschild de Sitter spacetime, we study the isospectrality between modes of different parity. In particular, we prove isospectrality analytically for modes with multipole number L = 1 in four spacetime dimensions, providing the explicit form of the underlying symmetry. We show that isospectrality between partially massless modes of different parity is broken in higher-dimensional Schwarzschild de Sitter spacetimes.

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Research Organization:: Columbia Univ., New York, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC); Simons Foundation; National Science Foundation (NSF)

Grant/Contract Number:: SC0011941; 555117; PHY-1748958

OSTI ID:: 1851575

Journal Information:: Journal of High Energy Physics (Online), Vol. 2021, Issue 3; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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