Exact black hole solutions in gravity with a background Kalb-Ramond field
Jia-Zhou Liu, Shan-Ping Wu, Shao-Wen Wei, Yu-Xiao Liu
Abstract
Abstract In this work, we derive exact solutions for four-dimensional static spherically symmetric black holes and three-dimensional rotating black holes within a Lorentz-violating gravity theory. In this framework, Lorentz symmetry is spontaneously broken when a nonminimally coupled Kalb-Ramond tensor field acquires a nonzero vacuum expectation value. Building upon these solutions, we investigate the thermodynamic properties of the black holes using the Iyer-Wald formalism. Our findings reveal that the standard first law of thermodynamics and the Smarr relation remain valid for black holes in the presence of the Kalb-Ramond field.
Topics & Concepts
PhysicsBlack hole (networking)Black hole thermodynamicsClassical mechanicsWhite holeExtremal black holeHawking radiationMassive gravityField (mathematics)Theoretical physicsSymmetry (geometry)Charged black holeMicro black holeLorentz transformationCircular symmetryTensor (intrinsic definition)Exact solutions in general relativityBlack braneBinary black holePrimordial black holeEinstein field equationsQuantum electrodynamicsRotating black holeSurface gravityFirst law of thermodynamicsGravitationGravitational fieldNonsingular black hole modelsSpin-flipGeneral relativityField equationLorentz covarianceCosmologyMathematical physicsNoncommutative and Quantum Gravity TheoriesCosmology and Gravitation TheoriesAdvanced Differential Geometry Research