Einstein-Bumblebee-Dilaton black hole solution

Abstract

We obtain new black hole solutions in a Einstein-Bumblebee-scalar theory. By starting with a Einstein-Bumblebee theory in D + d dimensions, the scalar dilaton field and its interaction with the gravitational and bumblebee fields are obtained by Kaluza-Klein (KK) reduction over the extra dimensions. Considering the effects of both the bumblebee vacuum expectation value (VEV) and the fluctuations over the VEV, we obtained new charged solutions in (3 + 1) dimensions. For a vanishing dilaton, the black hole turned out to be a charged de Sitter-Reissner-Nordstrom solution, where the transverse mode is the Maxwell field and the longitudinal mode is the cosmological constant. The stability of these new solutions is investigated by means of the analysis of the black hole thermodynamics. The temperature, entropy and heat capacity show that these modified black holes are thermodynamic stable.

19 pages, 4 figures

References in corpus (10)

• Very Special Relativity
• Spontaneous Lorentz and Diffeomorphism Violation, Massive Modes, and Gravity
• Black holes with a cosmological constant in bumblebee gravity
• Aether Compactification
• Thermodynamics of higher dimensional topological dilaton black holes with power-law Maxwell field
• Cosmological implications of Bumblebee vector models
• Vector models of gravitational Lorentz symmetry breaking
• Quantization and stability of bumblebee electrodynamics
• Lorentz Symmetry Derived from Lorentz Violation in the Bulk
• Dirac equation in very special relativity for hydrogen atom