Isothermal Spherical Perfect Uid Model: Uniqueness and Conformal Mapping
نویسنده
چکیده
We prove the theorem: The necessary and suucient condition for a spherically symmetric spacetime to represent an isothermal perfect uid (barotropic equation of state with density falling oo 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.
منابع مشابه
A Conformal Mapping and Isothermal Perfect Fluid Model
Instead of conformal to flat spacetime, we take the metric conformal to a spacetime which can be thought of as “minimally” curved in the sense that free particles experience no gravitational force yet it has non-zero curvature. The base spacetime can be written in the Kerr-Schild form in spherical polar coordinates. The conformal metric then admits the unique three parameter family of perfect f...
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