# Black holes with vector hair

@article{Fan2016BlackHW, title={Black holes with vector hair}, author={Zhong Fan}, journal={Journal of High Energy Physics}, year={2016}, volume={2016}, pages={1-27} }

A bstractIn this paper, we consider Einstein gravity coupled to a vector field, either minimally or non-minimally, together with a vector potential of the type V=2Λ0+12m2A2+γ4A4$$ V = 2{\varLambda}_0+\frac{1}{2}{m}^2{A}^2 + {\gamma}_4{A}^4 $$. For a simpler non-minimally coupled theory with Λ0 = m = γ4 = 0, we obtain both extremal and non-extremal black hole solutions that are asymptotic to Minkowski space-times. We study the global properties of the solutions and derive the first law of…

## 18 Citations

Black hole perturbations in vector-tensor theories: The odd-mode analysis

- Physics, Mathematics
- 2018

In generalized Proca theories with vector-field derivative couplings, a bunch of hairy black hole solutions have been derived on a static and spherically symmetric background. In this paper, we…

Black holes in vector-tensor theories and their thermodynamics

- Physics
- 2017

In this paper, we study Einstein gravity either minimally or non-minimally coupled to a vector field which breaks the gauge symmetry explicitly in general dimensions. We first consider a minimal…

Black holes in vector-tensor theories

- Mathematics, Physics
- 2017

We study static and spherically symmetric black hole (BH) solutions in second-order generalized Proca theories with nonminimal vector field derivative couplings to the Ricci scalar, the Einstein…

On the Noether charge and the gravity duals of quantum complexity

- Physics
- 2018

A bstractThe physical relevance of the thermodynamic volumes of AdS black holes to the gravity duals of quantum complexity was recently argued by Couch et al. In this paper, by generalizing the…

Proca Q tubes and their coupling to gravity

- Physics, Mathematics
- 2017

The Einstein-Proca system is studied in the case of a complex vector-field self-interacting through an appropriate potential with a global U(1) symmetry. The corresponding equations for a static,…

Black holes and solitons in an extended Proca theory

- Physics
- 2017

A bstractWe study a massive vector tensor theory that acquires mass via a standard Proca term but also via a higher order term containing an explicit coupling to curvature. We find static solutions…

Odd-parity stability of hairy black holes in
U(1)
gauge-invariant scalar-vector-tensor theories

- MathematicsPhysical Review D
- 2018

In scalar-vector-tensor theories with $U(1)$ gauge invariance, it was recently shown that there exists a new type of hairy black hole solutions induced by a cubic-order scalar-vector interaction. In…

Cosmology in scalar-vector-tensor theories

- PhysicsPhysical Review D
- 2018

We study the cosmology on the Friedmann-Lemaitre-Robertson-Walker background in scalar-vector-tensor theories with a broken $U(1)$ gauge symmetry. For parity-invariant interactions arising in…

Solutions in the generalized Proca theory with the nonminimal coupling to the Einstein tensor

- Physics
- 2016

We investigate the static and spherically symmetric solutions in a class of the generalized Proca theory with the nonminimal coupling to the Einstein tensor. First, we show that the solutions in the…

Note on the Noether charge and holographic transports

- Physics
- 2018

We clarify the relation between the Noether charge associated to an arbitrary vector field and the equations of motions by revisiting Wald formalism. For a time-like Killing vector, aspects of the…

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