Isothermal spherical perfect fluid model: Uniqueness and Conformal mapping

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.

7 pages, TeX version

References in corpus (1)

• A Conformal Mapping and Isothermal Perfect Fluid Model

Cited by in corpus (6)

• Universality of isothermal fluid spheres in Lovelock gravity
• On the asymptotic behavior of static perfect fluids
• A Conformal Mapping and Isothermal Perfect Fluid Model
• An ansatz for spacetimes of zero gravitational mass : global monopoles and textures
• A Modified Variational Principle in Relativistic Hydrodynamics. I.Commutativity and Noncommutativity of the Variation Operator with the Partial Derivative
• Isothermal spheres in general relativity and Horava-type gravity