Exact solutions for static spherically symmetric spacetime with a perfect fluid in Rastall theory
Year: 2026
Type: preprint
Abstract: 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 $w=0,-\frac{1}{6}, -\frac{1}{5}, -\frac{1}{3}$, and $-1$. We extend this setup to Rastall theory, presenting the relation between the Rastall parameter and the constant $w$, and deriving exact solutions that correspond to their known counterparts in general relativity, except for $w=-\frac{1}{6}$. Furthermore, we find that, when $w\neq \frac{1}{3}, -1$, there exist several types of solutions whose behaviors change depending on the choice of constants.
Source: arXiv (Cornell University)
Institution: Tokyo Denki University
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7171871433