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- W4366388739 abstract "As a vector-tensor theory including nonminimal coupling between the Ricci tensor and a vector field, the bumblebee gravity is a potential theory to test Lorentz symmetry violation. Recently, a new class of numerical spherical black holes in the bumblebee theory was constructed. In this paper, we investigate the associated local thermodynamic properties. By introducing a pair of conjugated thermodynamic quantities $X$ and $Y$, which can be interpreted as an extension of electric potential and charge of the Reissner Nordstrom black holes, we numerically construct a new first law of thermodynamics for bumblebee black holes. We then study the constant-$Y$ processes in the entropy-charge parameter space. For the constant-$Y$ processes, we also calculate the heat capacity to study the local thermodynamic stability of the bumblebee black holes. For a negative nonminimal coupling coefficient $xi$, we find both divergent and smooth phase transitions. For a positive but small $xi$, only a divergent phase transition is found. It turns out that there is a critical value $0.4kappa <xi_c < 0.5kappa$ such that when $xi_c < xi<2kappa$, even the divergent phase transition disappears and the bumblebee black holes thus become locally thermodynamically unstable regardless of the bumblebee charge. As for $xi>2kappa$, the smooth phase transition arises again but there no longer exists any discontinuous phase transition for the bumblebee black holes." @default.
- W4366388739 created "2023-04-21" @default.
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- W4366388739 date "2023-04-17" @default.
- W4366388739 modified "2023-09-28" @default.
- W4366388739 title "Extended thermodynamics of the bumblebee black holes" @default.
- W4366388739 doi "https://doi.org/10.48550/arxiv.2304.08030" @default.
- W4366388739 hasPublicationYear "2023" @default.
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