Gödel-type universes in bumblebee gravity

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 non-causal 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 non-zero coupling constant is also investigated.

arXiv comment13 pages, accepted for publication in IJMPA

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• An exact stationary axisymmetric vacuum solution within a metric--affine bumblebee gravity
• Black Hole Superradiance in the Presence of Lorentz Symmetry Violation
• Bumblebee field as a source of cosmological anisotropies
• 3+1 Formulation of the Standard-Model Extension Gravity Sector
• Spontaneous Lorentz symmetry breaking effects on GRBs jets arising from neutrino pair annihilation process near a black hole
• Thermodynamics of massless particles in curved spacetime
• Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole
• Kasner cosmology in bumblebee gravity
• One-loop radiative corrections in bumblebee-Stueckelberg model
• Bumblebee gravity: spherically-symmetric solutions away from the potential minimum
• On metric-affine bumblebee model coupled to scalar matter
• One-loop corrections in Maxwell-metric-affine bumblebee gravity
• Braneworlds in bumblebee gravity
• Primordial gravitational waves from spontaneous Lorentz symmetry breaking
• Dynamical Lorentz Symmetry Breaking in a Scale-free Theory of Gravity