Instability and backreaction of massive spin-2 fields around black holes - INSPIRE

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Instability and backreaction of massive spin-2 fields around black holes

William E. East
(
- Perimeter Inst. Theor. Phys.
)
,
Nils Siemonsen
(
)

Sep 10, 2023

10 pages

Published in:

Phys.Rev.D 108 (2023) 12, 124048

Published: Dec 15, 2023

e-Print:

2309.05096 [gr-qc]

DOI:

10.1103/PhysRevD.108.124048 (publication)

View in:

ADS Abstract Service

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Abstract: (APS)

A massive spin-2 field can grow unstably around a black hole, giving rise to a potential probe of the existence of such fields. In this work, we use time-domain evolutions to study such instabilities. Considering the linear regime by solving the equations generically governing a massive tensor field on the background of a Kerr black hole, we find that black hole spin increases the growth rate and, most significantly, the mass range of the axisymmetric (azimuthal number

m = 0

) instability, which takes the form of the Gregory-Laflamme black string instability for zero spin. We also consider the superradiant unstable modes with

1 \leq m \leq 3

, extending previous results to higher spin-2 masses, black hole spins, and azimuthal numbers. We find that the superradiant modes grow slower than the

m = 0

modes, except for a narrow range of high spins and masses, with

m = 1

and 2 requiring a dimensionless black hole spin of

a_{BH} ≳ 0.95

to be dominant. Thus, in most of the parameter space, the backreaction of the

m = 0

instability must be taken into account when using black holes to constrain massive spin-2 fields. As a simple model of this, we consider nonlinear evolutions in quadratic gravity, in particular Einstein-Weyl gravity. We find that, depending on the initial perturbation, the black hole may approach zero mass with the curvature blowing up in finite time, or can saturate at a larger mass with a surrounding cloud of the ghost spin-2 field.

Note:

10 pages, 7 figures; updated to match PRD version; includes link to linear instability data

black hole: spin
spin: high
black string: stability
black hole: Kerr
symmetry: axial
spin: 0
field theory: tensor
back reaction
gravitation: higher-order
higher-order: 2

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