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General Relativity and Quantum Cosmology

Title: Black holes in quartic-order beyond-generalized Proca theories

Abstract: The generalized Proca theories with second-order equations of motion can be healthily extended to a more general framework in which the number of propagating degrees of freedom remains unchanged. In the presence of a quartic-order nonminimal coupling to gravity arising in beyond-generalized Proca theories, the speed of gravitational waves $c_t$ on the Friedmann-Lemaitre-Robertson-Walker (FLRW) cosmological background is equal to that of light $c$ under a certain self-tuned condition. By using this condition alone, we show that the speed of gravitational waves in the vicinity of static and spherically symmetric black holes is also equivalent to $c$ for the propagation of odd-parity perturbations along both radial and angular directions. As a by-product, the black holes arising in self-tuned beyond-generalized Proca theories are plagued by neither ghost nor Laplacian instabilities against odd-parity perturbations. We show the existence of both exact and numerical black hole solutions endowed with vector hairs induced by the quartic-order coupling.
Comments: 13 pages, 1 figure
Subjects: General Relativity and Quantum Cosmology (gr-qc); Cosmology and Nongalactic Astrophysics (astro-ph.CO); High Energy Physics - Phenomenology (hep-ph); High Energy Physics - Theory (hep-th)
Cite as: arXiv:1803.06335 [gr-qc]
  (or arXiv:1803.06335v1 [gr-qc] for this version)

Submission history

From: Shinji Tsujikawa [view email]
[v1] Fri, 16 Mar 2018 17:37:35 GMT (49kb)