Lorentz violation with an invariant minimum speed as foundation of the Gravitational Bose Einstein Condensate of a Dark Energy Star

Publication date: Available online 27 December 2019Source: Physics of the Dark UniverseAuthor(s): Cláudio Nassif Cruz, Rodrigo Francisco dos Santos, A.C. Amaro de FariaAbstractWe aim to search for the connection between the spacetime with an invariant minimum speed so-called Symmetrical Special Relativity (SSR) with Lorentz violation and the Gravitational Bose Einstein Condensate (GBEC) as the central core of a star of gravitational vacuum (gravastar), where one normally introduces a cosmological constant for representing an anti-gravity. This usual model of gravastar with an equation of state (EOS) for vacuum energy inside the core will be generalized for many modes of vacuum (dark energy star) in order to circumvent the embarrassment generated by the horizon singularity as the final stage of a gravitational collapse. In the place of the problem of a singularity of an event horizon, we introduce a phase transition between gravity and anti-gravity before reaching the Schwarzschild (divergent) radius RS for a given coexistence radius Rcoexistence slightly larger than RS and slightly smaller than the core radius Rcore of GBEC, where the metric of the repulsive sector (core of GBEC) would diverge for r=Rcore, so that for such a given radius of phase coexistence RS<Rcoexistence<Rcore, both divergences at RS of Schwarzschild metric (a fine shell of baryonic matter involving the core of GBEC) and at Rcore of the repulsive core are eliminated, thus preventing the formation ...

Source: Physics of the Dark Universe - December 29, 2019 Category: Physics Source Type: research