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.
Charged C-metric with conformally coupled scalar field
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abstract
We present a generalisation of the charged C-metric conformally coupled with a scalar field in the presence of a cosmological constant. The solution is asymptotically flat or a constant curvature spacetime. The spacetime metric has the geometry of a usual charged C-metric with cosmological constant, where the mass and charge are equal. When the cosmological constant is absent it is found that the scalar field only blows up at the angular pole of the event horizon. The presence of the cosmological constant can generically render the scalar field regular where the metric is regular, pushing the singularity beyond the event horizon. For certain cases of enhanced acceleration with a negative cosmological constant, the conical singularity disappears all together and the scalar field is everywhere regular. The black hole is then rather a black string with its event horizon extending all the way to asymptotic infinity and providing itself the necessary acceleration.
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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.