Black hole thermodynamics in generalized Proca theories
arxiv(2024)
Abstract
We investigate thermodynamics of static and spherically symmetric black holes
(BHs) in generalized Proca (GP) theories by applying the Iyer-Wald
prescription. BH solutions in GP theories are divided into the two classes. The
first class corresponds to the solutions obtained by the direct promotion of
the BH solutions in shift-symmetric Horndeski theories, while the second class
consists of the solutions which are obtained only in GP theories and contain a
nonzero electromagnetic field. For BH solutions in the first class, we confirm
that the BH entropy and its thermodynamic mass remain the same as those in the
counterpart solution in shift-symmetric Horndeski theories. We also calculate
the thermodynamical variables of the several static and spherically-symmetric
BH solutions in the second class, and investigate the thermodynamical stability
when there exist two BH solutions.
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