Semiclassical constant-density spheres in a regularized Polyakov approximation

Understand

We provide an exhaustive analysis of the complete set of solutions of the equations of stellar equilibrium under semiclassical effects.

• As classical matter we use a perfect fluid of constant density; as the semiclassical source we use the renormalized stress-energy tensor (RSET) of a minimally coupled massless scalar field in the Boulware vacuum (the only vacuum consistent with asymptotic flatness and staticity).
• For the RSET we use a regularized version of the Polyakov approximation.
• We present a complete catalogue of the semiclassical self-consistent solutions which incorporates regular as well as singular solutions, showing that the semiclassical corrections are highly relevant in scenarios of high compactness.