Connection between Symmetrical Special Relativity and the Gravitational Bose Einstein Condensate of a Gravastar/Dark Energy Star: Are there singularities in spacetime like black holes?

Abstract

We aim to search for a connection between an invariant minimum speed that breaks down the Lorentz symmetry and the Gravitational Bose Einstein Condensate (GBEC), which is the central core of a star of gravitating vacuum (Gravastar/Dark Energy Star) by introducing a cosmological constant into compact objects. This model was designed to circumvent the embarrassment generated by the paradoxes of a singularity as the final stage of a gravitational collapse, by introducing in place of the singularity of event horizon a spatial-temporal phase transition, a concept with which the causal structure of Symmetrical Special Relativity (SSR) helps us to elucidate by providing a quantum interpretation for GBEC and explaining the origin of anisotropy, which has been introduced in ad-hoc way before in the literature.