Regular Compact Objects with Scalar Hair
Thanasis Karakasis, Nick E. Mavromatos, Eleftherios Papantonopoulos

TL;DR
This paper presents exact, regular higher-dimensional black hole solutions with scalar hair sourced by a phantom scalar field, analyzing their thermodynamics, regularity, and dependence on scalar charge and mass.
Contribution
It introduces new regular black hole solutions with scalar hair in higher dimensions, deriving scalar potentials and analyzing their thermodynamic and regularity properties.
Findings
Solutions are regular at the center for all dimensions.
Scalar potential depends on scalar charge and mass in lower dimensions.
Black holes with secondary scalar hair are asymptotically flat.
Abstract
We discuss exact regular compact object solutions in higher dimensional extensions of General Relativity sourced by a phantom scalar field in arbitrary spacetime dimensions (), for which a central singularity is absent. We follow a bottom-up approach, by means of which, by imposing the desired form of the solution to the metric function, we derive the form of the self-interaction scalar potential, which in general appears to depend on both the scalar-hair charge and the black-hole mass. We discuss in this context the validity of the first law of thermodynamics in such systems. Consistency requires the independence of the potential of the mass, imposing in this way the dependence of the mass on the scalar charge of a type that varies with the value of , and according to the no-hair theorem dressing the regular black hole solution with secondary hair. In we demonstrate…
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Taxonomy
TopicsCosmology and Gravitation Theories · Black Holes and Theoretical Physics · Relativity and Gravitational Theory
