Black holes in the TeVeS theory of gravity and their thermodynamics

Abstract

TeVeS, a relativistic theory of gravity, was designed to provide a basis for the modified Newtonian dynamics. Since TeVeS differs from general relativity (e.g., it has two metrics, an Einstein metric and a physical metric), black hole solutions of it would be valuable for a number of endeavors ranging from astrophysical modeling to investigations into the interrelation between gravity and thermodynamics. Giannios has recently found a TeVeS analogue of the Schwarzschild black hole solution. We proceed further with the program by analytically solving the TeVeS equations for a static spherically symmetric and asymptotically flat system of electromagnetic and gravity fields. We show that one solution is provided by the Reissner-Nordstrom metric as physical metric, the TeVeS vector field pointing in the time direction, and a TeVeS scalar field positive everywhere (the last feature protects from superluminal propagation of disturbances in the fields). We work out black hole thermodynamics in TeVeS using the physical metric; black hole entropy, temperature and electric potential turn out to be identical to those in general relativity. We find it inconsistent to base thermodynamics on the Einstein metric. In light of this we reconsider the Dubovsky-Sibiryakov scenario for violating the second law of thermodynamics in theories with Lorentz symmetry violation.

12 pages, ReVTex, version to be published in Phys. Rev. D

References in corpus (4)

• Spontaneous breaking of Lorentz invariance, black holes and perpetuum mobile of the 2nd kind
• Can Cosmic Structure form without Dark Matter?
• The modified Newtonian dynamics-MOND-and its implications for new physics
• Lorentz violation and perpetual motion

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• Stellar Oscillations in Tensor-Vector-Scalar Theory
• Incompatibility of Rotation Curves with Gravitational Lensing for TeVeS
• Black holes and neutron stars in the generalized tensor-vector-scalar theory
• Restricting Fourth Order Gravity via Cosmology
• Slowly Rotating Relativistic Stars in Tensor-Vector-Scalar Theory
• Stability and Quasinormal Modes of Black holes in Tensor-Vector-Scalar theory: Scalar Field Perturbations
• Post-Newtonian parameters in the tensor-vector-scalar theory
• Toroidal oscillations of slowly rotating relativistic star in tensor-vector-scalar theory
• Torsional oscillations in tensor-vector-scalar theory
• Stealth black holes in Aether Scalar Tensor theory