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arXiv · gr-qc/9605002

Isothermal spherical perfect fluid model: Uniqueness and Conformal mapping

Naresh Dadhich
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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.

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Naresh Dadhich. 1996-05-01. Isothermal spherical perfect fluid model: Uniqueness and Conformal mapping. https://doi.org/10.1007/bf02847428

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