The flight of the bumblebee: solutions from a vector-induced spontaneous Lorentz symmetry breaking model

Abstract

The vacuum solutions arising from a spontaneous breaking of Lorentz symmetry due to the acquisition of a vacuum expectation value by a vector field are derived. These include the purely radial Lorentz symmetry breaking (LSB), radial/temporal LSB and axial/temporal LSB scenarios. It is found that the purely radial LSB case gives rise to new black hole solutions. Whenever possible, Parametrized Post-Newtonian (PPN) parameters are computed and compared to observational bounds, in order to constrain the Lorentz symmetry breaking scale.

Talk presented by one of us (O.B.). To be published in the Proceedings of the Albert Einstein Century International Conference; minor typos corrected