Journal
PHYSICA SCRIPTA
Volume 97, Issue 7, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1402-4896/ac7360
Keywords
Einstein Scalar; hairy black hole; exact solution; thermal stability
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Exact solutions are important in understanding general relativity and other physical theories. The Einstein-Scalar theory provides an exact class of solutions with a specific potential and thermal stability.
Exact solutions in general relativity and other theories in physics are important. One of such theories is the Einstein-Scalar theory. We present an exact class of solutions in the Einstein-Scalar theory with a specific nonlinear self-interacting potential. The potential admits a local minimum and a local maximum in general configuration. The solutions include AdS and dS black hole and non-black hole spacetimes. The scalar field is regular on and outside the horizon and asymptotically vanishes when r -> infinity. We also study the thermal stability of the black hole solution and it is shown that the black hole is thermally stable for a certain interval of the radius of the horizon.
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