Spin-induced black hole spontaneous scalarization. (arXiv:2006.03095v1 [gr-qc])
<a href="http://arxiv.org/find/gr-qc/1/au:+Dima_A/0/1/0/all/0/1">Alexandru Dima</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Barausse_E/0/1/0/all/0/1">Enrico Barausse</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Franchini_N/0/1/0/all/0/1">Nicola Franchini</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Sotiriou_T/0/1/0/all/0/1">Thomas P. Sotiriou</a>
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 ($a/Mgtrsim 0.64$). This
result has clear implications for tests of general relativity and the nature of
black holes with gravitational and electromagnetic observations.
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 ($a/Mgtrsim 0.64$). This
result has clear implications for tests of general relativity and the nature of
black holes with gravitational and electromagnetic observations.
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