Gödel-type universes in bumblebee gravity
W. D. R. Jesus, A. F. Santos
Abstract
The bumblebee field coupled with gravity is considered. This gravitational theory exhibits spontaneous breaking of Lorentz symmetry. The Gödel-type universe is introduced and then the causality and its violation are studied. Causal and noncausal Gödel-type solutions are obtained for different content of matter. In addition, when the coupling constant, which controls the interaction between the bumblebee field and the gravitational field, is zero the bumblebee potential may be associated with the value of the cosmological constant of the general relativity. Furthermore, the case with the nonzero coupling constant is also investigated.
Topics & Concepts
PhysicsBumblebeeCausality (physics)Gravitational fieldGravitationCoupling (piping)Cosmological constantField (mathematics)Classical mechanicsConstant (computer programming)Coupling constantTheoretical physicsUniverseLorentz transformationGravitational constantZero (linguistics)Lorentz covarianceMathematical physicsValue (mathematics)Quantum electrodynamicsFifth forceNoncommutative and Quantum Gravity TheoriesCosmology and Gravitation TheoriesRelativity and Gravitational Theory