Isothermal spherical perfect fluid model: Uniqueness and Conformal mapping
General Relativity and Quantum Cosmology
2015-06-25 v1 Astrophysics
Abstract
We prove the theorem: The necessary and sufficient condition for a spherically symmetric spacetime to represent an isothermal perfect fluid (barotropic equation of state with density falling off as inverse square of the curvature radius) distribution without boundary is that it is conformal to the ``minimally'' curved (gravitation only manifesting in tidal acceleration and being absent in particle trajectory) spacetime.
Cite
@article{arxiv.gr-qc/9605002,
title = {Isothermal spherical perfect fluid model: Uniqueness and Conformal mapping},
author = {Naresh Dadhich},
journal= {arXiv preprint arXiv:gr-qc/9605002},
year = {2015}
}
Comments
7 pages, TeX version