Analytical black hole solutions are constructed in Einstein-Maxwell-Yang-Mills theory with conformally coupled scalars, generalizing MTZ and AC solutions by including non-Abelian gauge fields determined by horizon curvature.
New Charged Black Holes with Conformal Scalar Hair
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abstract
A new class of four-dimensional, hairy, stationary solutions of the Einstein-Maxwell-Lambda system with a conformally coupled scalar field is constructed in this paper. The metric belongs to the Plebanski-Demianski family and hence its static limit has the form of the charged C-metric. It is shown that, in the static case, a new family of hairy black holes arises. They turn out to be cohomogeneity-two, with horizons that are neither Einstein nor homogenous manifolds. The conical singularities in the C-metric can be removed due to the back reaction of the scalar field providing a new kind of regular, radiative spacetime. The scalar field carries a continuous parameter proportional to the usual acceleration present in the C-metric. In the zero-acceleration limit, the static solution reduces to the dyonic Bocharova-Bronnikov-Melnikov-Bekenstein solution or the dyonic extension of the Martinez-Troncoso-Zanelli black holes, depending on the value of the cosmological constant.
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A new axionically charged rotating AdS4 black hole solution with scalar field is presented, defined by a structural function and parameters, with thermodynamics derived via Euclidean method satisfying the first law.
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(Super-)renormalizable hairy meronic black holes
Analytical black hole solutions are constructed in Einstein-Maxwell-Yang-Mills theory with conformally coupled scalars, generalizing MTZ and AC solutions by including non-Abelian gauge fields determined by horizon curvature.
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A new rotating axionic AdS$_4$ black hole dressed with a scalar field
A new axionically charged rotating AdS4 black hole solution with scalar field is presented, defined by a structural function and parameters, with thermodynamics derived via Euclidean method satisfying the first law.