2026/07/29 by Yoshimune Tomikawa, Ichika Obara, Takumi Orimo
Physics and Astronomy · #gr-qc
12 pages
arxiv created 2026/07/29 · arxiv updated 2026/07/30
In general relativity, exact Liouvillian solutions for a static and spherically symmetric spacetime with a perfect fluid and the equation of state p(r)=wρ(r) are known only for w=0,-(1)/(6), -(1)/(5), -(1)/(3), -1. We extend this setup to Rastall's theory, presenting the relation between the Rastall parameter and the constant w, and deriving exact solutions that correspond to the known counterparts in general relativity, except for w=-(1)/(6). Furthermore, we find that, when w≠ (1)/(3), -1, there exist several types of solutions whose behavior changes depending on the choice of constants.