Geometry of static [Formula: see text] perfect fluid spheres in general relativity

Behnaz Fazlpour; Ali Banijamali; Valerio Faraoni

doi:10.1140/epjc/s10052-022-10349-2

Geometry of static $w = - 1 / 5$ perfect fluid spheres in general relativity

Eur Phys J C Part Fields. 2022;82(4):364. doi: 10.1140/epjc/s10052-022-10349-2. Epub 2022 Apr 25.

Authors

Behnaz Fazlpour¹, Ali Banijamali², Valerio Faraoni³

Affiliations

¹ Department of Physics, Babol Branch, Islamic Azad University, Babol, Iran.
² Department of Basic Sciences, Babol Noshirvani University of Technology, Babol, Iran.
³ Department of Physics and Astronomy, Bishop's University, 2600 College Street, Sherbrooke, QC J1M 1Z7 Canada.

Abstract

We discuss the physical features of two recent classes of analytical solutions of the Einstein equations sourced by an exotic perfect fluid with equation of state $P = - ρ / 5$ . These geometries depend on up to four parameters and are static and spherically symmetric. They describe compact spaces with naked central singularities.