Black holes with vector hair

  title={Black holes with vector hair},
  author={Zhong Fan},
  journal={Journal of High Energy Physics},
  • Z. Fan
  • Published 2 June 2016
  • Mathematics
  • Journal of High Energy Physics
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… 
Black hole perturbations in vector-tensor theories: The odd-mode analysis
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
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
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
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
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
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
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
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
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
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


AdS and Lifshitz scalar hairy black holes in Gauss-Bonnet gravity
We consider Gauss-Bonnet (GB) gravity in general dimensions, which is nonminimally coupled to a scalar field. By choosing a scalar potential of the type
Black hole entropy is Noether charge.
  • Wald
  • Mathematics
    Physical review. D, Particles and fields
  • 1993
The results show that the validity of the "second law" of black hole mechanics in dynamical evolution from an initially stationary black hole to a final stationary state is equivalent to the positivity of a total Noether flux, and thus may be intimately related to the positive energy properties of the theory.
Scalar Hairy Black Holes in General Dimensions
We obtain a class of asymptotic flat or (anti)--de Sitter [(A)dS] hairy black holes in $D$-dimensional Einstein gravity coupled to a scalar with a certain scalar potential. For a given mass, the
Kerr black holes with scalar hair.
We present a family of solutions of Einstein's gravity minimally coupled to a complex, massive scalar field, describing asymptotically flat, spinning black holes with scalar hair and a regular
Exact asymptotically flat charged hairy black holes with a dilaton potential
A bstractWe find broad classes of exact 4-dimensional asymptotically flat black hole solutions in Einstein-Maxwell theories with a non-minimally coupled dilaton and its nontrivial potential. We
Thermodynamics of AdS black holes in Einstein-Scalar gravity
A bstractWe study the thermodynamics of n-dimensional static asymptotically AdS black holes in Einstein gravity coupled to a scalar field with a potential admitting a stationary point with an AdS
Generalized Smarr formula and the viscosity bound for Einstein-Maxwell-dilaton black holes
We study the shear viscosity to entropy ratio $\ensuremath{\eta}/S$ in the boundary field theories dual to black-hole backgrounds in theories of gravity coupled to a scalar field, and generalizations
Kerr black holes with Proca hair
Bekenstein proved that in Einstein's gravity minimally coupled to one (or many) real, Abelian, Proca field, stationary black holes (BHs) cannot have Proca hair. Dropping Bekenstein's assumption that
Kerr black holes with self-interacting scalar hair: hairier but not heavier
The maximal ADM mass for (mini-)boson stars (BSs) -- gravitating solitons of Einstein's gravity minimally coupled to a free, complex, mass $\mu$, Klein-Gordon field -- is $M_{\rm ADM}^{\rm max}\sim