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Exact solutions for static spherically symmetric spacetime with a perfect fluid in Rastall theory

  • Yoshimune Tomikawa
  • Ichika Obara
  • Takumi Orimo
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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,−1/6, −1/5, −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=−1/6. Furthermore, we find that, when w≠ 1/3, −1, there exist several types of solutions whose behaviors change depending on the choice of constants.

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Cite

BibTeXRIS
BibTeX
@misc{tomikawa2026exact,
  title = {{Exact solutions for static spherically symmetric spacetime with a perfect fluid in Rastall theory}},
  author = {Yoshimune Tomikawa and Ichika Obara and Takumi Orimo},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2607.26463},
  eprint = {2607.26463},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.26463},
}
RIS
TY  - UNPB
TI  - Exact solutions for static spherically symmetric spacetime with a perfect fluid in Rastall theory
AU  - Yoshimune Tomikawa
AU  - Ichika Obara
AU  - Takumi Orimo
PY  - 2026
DA  - 2026/10/26
PB  - arXiv
DO  - 10.48550/arxiv.2607.26463
UR  - https://arxiv.org/abs/2607.26463
AB  - 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, 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=−1/6. Furthermore, we find that, when w≠ 1/3, −1, there exist several types of solutions whose behaviors change depending on the choice of constants.
ER  -