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Bibliographic Details
Main Author: Semiz, İbrahim
Format: Preprint
Published: 2022
Subjects:
Online Access:https://arxiv.org/abs/2210.16648
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author Semiz, İbrahim
author_facet Semiz, İbrahim
contents The general analytical solution for the static spherically symmetric metric supported by a perfect fluid with proportional-equation-of-state $p = w ρ$ is not known at the time of this writing, except for the trivial cases $w=0$ and $w=-1$; for $w=-1/3$, and the recently reported $w=-1/5$. We show that the case $w=-1/6$ is also analytically solvable, as predicted in another recent work. The solution is affected by a Buchdahl transformation of a known solution.
format Preprint
id arxiv_https___arxiv_org_abs_2210_16648
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle The general static spherical perfect fluid solution with EoS parameter w=-1/6
Semiz, İbrahim
General Relativity and Quantum Cosmology
The general analytical solution for the static spherically symmetric metric supported by a perfect fluid with proportional-equation-of-state $p = w ρ$ is not known at the time of this writing, except for the trivial cases $w=0$ and $w=-1$; for $w=-1/3$, and the recently reported $w=-1/5$. We show that the case $w=-1/6$ is also analytically solvable, as predicted in another recent work. The solution is affected by a Buchdahl transformation of a known solution.
title The general static spherical perfect fluid solution with EoS parameter w=-1/6
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2210.16648