On symmetry inheritance of nonminimally coupled scalar fields

Barjašić, Irena; Smolić, Ivica

doi:10.48550/arxiv.1709.07456

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2018

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“…Stealth scalar fields have been found on top of the BTZ black hole [3], four-dimensional black holes [4] and some cosmological solutions [5][6][7][8][9]. Stability of stealth configurations was analysed in [10] and their classification, from the perspective of the symmetry inheritance, was presented in [11]. Such solutions have been also found in Brans-Dicke-Maxwell theory [12] and, more recently, within various vector-tensor models [13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Spacetimes dressed with stealth electromagnetic fields

Smolić

2018

Phys. Rev. D

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Stealth field configurations by definition have a vanishing energy-momentum tensor, and thus do not contribute to the gravitational field equations. While only trivial fields can be stealth in Maxwell's electrodynamics, nontrivial stealth fields appear in some nonlinear models of electromagnetism. We find the necessary and sufficient conditions for the electromagnetic fields to be stealth and analyse which models admit such configurations. Furthermore, we present some concrete exact solutions, featuring a class of black holes dressed with the stealth electromagnetic hair, closely related to force-free solutions. Stealth hair does not alter the generalized Smarr formula, but may contribute to the Komar charges.

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