RT Journal Article
T1 Semiclassical constant-density spheres in a regularized Polyakov approximation
A1 Arrechea, Julio
A1 Barceló, Carlos
A1 Carballo Rubio, Raúl
A1 Garay Elizondo, Luis Javier
AB 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. Semiclassical corrections allow the existence of ultracompact equilibrium configurations which have bounded pressures and masses up to a central core of Planckian radius, precisely where the regularized Polyakov approximation is not accurate. Our analysis strongly suggests the absence of a Buchdahl limit in semiclasical gravity, while indicating that the regularized Polyakov approximation used here must be improved to describe equilibrium configurations of arbitrary compactness that remain regular at the center of spherical symmetry.
PB American Physical Society
SN 2470-0010
YR 2021
FD 2021
LK https://hdl.handle.net/20.500.14352/115444
UL https://hdl.handle.net/20.500.14352/115444
LA eng
NO J. Arrechea, C. Barceló, R. Carballo-Rubio, and L. J. Garay, Semiclassical constant-density spheres in a regularized Polyakov approximation, Phys. Rev. D 104, 084071 (2021).
NO Ministerio de Economía y Competitividad (España)
NO Ministerio de Ciencia e Innovación (España)
NO European Commission
NO Agencia Estatal de Investigación (España)
NO Junta de Andalucía
DS Docta Complutense
RD 13 abr 2026