We study scalar fields in a black hole background and show that, when the scalar is suitably coupled to curvature, rapid rotation can induce a tachyonic instability. This instability, which is the hallmark of spontaneous scalarization in the linearized regime, is expected to be quenched by nonlinearities and endow the black hole with scalar hair. Hence, our results demonstrate the existence of a broad class of theories that share the same stationary black hole solutions with general relativity at low spins, but which exhibit black hole hair at sufficiently high spins (a/M0.5). This result has clear implications for tests of general relativity and the nature of black holes with gravitational and electromagnetic observations.

Spin-Induced Black Hole Spontaneous Scalarization / Dima, Alexandru; Barausse, Enrico; Franchini, Nicola; Sotiriou, Thomas P.. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 125:23(2020), pp. 1-6. [10.1103/PhysRevLett.125.231101]

Spin-Induced Black Hole Spontaneous Scalarization

Dima, Alexandru;Barausse, Enrico;Franchini, Nicola;
2020-01-01

Abstract

We study scalar fields in a black hole background and show that, when the scalar is suitably coupled to curvature, rapid rotation can induce a tachyonic instability. This instability, which is the hallmark of spontaneous scalarization in the linearized regime, is expected to be quenched by nonlinearities and endow the black hole with scalar hair. Hence, our results demonstrate the existence of a broad class of theories that share the same stationary black hole solutions with general relativity at low spins, but which exhibit black hole hair at sufficiently high spins (a/M0.5). This result has clear implications for tests of general relativity and the nature of black holes with gravitational and electromagnetic observations.
2020
125
23
1
6
231101
https://arxiv.org/abs/2006.03095
Dima, Alexandru; Barausse, Enrico; Franchini, Nicola; Sotiriou, Thomas P.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/116255
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