Abstract
In U(1) gauge-invariant scalar–vector–tensor theories with second-order equations of motion, we study the properties of black holes (BH) on a static and spherically symmetric background. In shift-symmetric theories invariant under the shift of scalar ϕ→ϕ+c, we show the existence of new hairy BH solutions where a cubic-order scalar–vector interaction gives rise to a scalar hair manifesting itself around the event horizon. In the presence of a quartic-order interaction besides the cubic coupling, there are also regular BH solutions endowed with scalar and vector hairs.
Highlights
On the contrary to the geometrical interpretation of gravitational physics, the description in terms of field theory is unambiguous
Trodden abstract In U (1) gauge-invariant scalar–vector–tensor theories with second-order equations of motion, we study the properties of black holes (BH) on a static and spherically symmetric background
In shift-symmetric theories invariant under the shift of scalar φ → φ + c, we show the existence of new hairy BH solutions where a cubic-order scalar–vector interaction gives rise to a scalar hair manifesting itself around the event horizon
Summary
On the contrary to the geometrical interpretation of gravitational physics, the description in terms of field theory is unambiguous. Fixing the ingredients of gravitational theory to be one spin-0 field besides two tensor polarizations, it is possible to construct most general scalar–tensor theories with second-order equations of motion, known as Horndeski theories [2,3]. The relevance of these vector–tensor theories for cosmology [8,9] and compact objects [10,11,12,13] has been already extensively studied in the literature One can unify these two important classes of Horndeski and generalized Proca theories into the framework of scalar–vector–tensor (SVT) theories. We study BH solutions in U (1) gauge-invariant SVT theories on a static and spherically symmetric background.
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