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- Title
Static perfect fluids with Pant-Sah equations of state.
- Authors
Walter Simon
- Abstract
Abstract  We analyze the 3-parameter family of exact, regular, static, spherically symmetric perfect fluid solutions of Einsteinâs equations (corresponding to a 2-parameter family of equations of state) due to Pant and Sah and ârediscoveredâ by Rosquist and by the present author. Except for the Buchdahl solutions which are contained as a limiting case, the fluids have finite radius and are physically realistic for suitable parameter ranges. The equations of state can be characterized geometrically by the property that the 3-metric on the static slices, rescaled conformally with the fourth power of any linear function of the norm of the static Killing vector, has constant scalar curvature. This local property does not require spherical symmetry; in fact it simplifies the proof of spherical symmetry of asymptotically flat solutions which we recall here for the Pant-Sah equations of state. We also consider a model in Newtonian theory with analogous geometric and physical properties, together with a proof of spherical symmetry of the asymptotically flat solutions.
- Subjects
FLUID mechanics; EQUATIONS of state; CURVATURE; SYMMETRY (Physics); NEWTONIAN fluids; HYDROSTATICS
- Publication
General Relativity & Gravitation, 2008, Vol 40, Issue 12, p2591
- ISSN
0001-7701
- Publication type
Article
- DOI
10.1007/s10714-008-0641-5