On the spherical symmetry of static perfect fluids in general relativity

Details On the spherical symmetry of static perfect fluids in general relativity On the spherical symmetry of static perfect fluids in general relativity

Mar 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991lmaph..21..245b&link_type=abstract

Letters in Mathematical Physics, Volume 21, Issue 3, pp.245-250

Mathematics

Mathematical Physics

13

83Cxx

Scientific paper

We present a theorem which establishes uniqueness, in particular spherical symmetry, of a wide class of general relativistic, static perfect-fluid models provided there exists a spherically symmetric model with the same equation of state and surface potential. The method of proof, which is inspired by recent work of Masood-ul-Alam, is illustrated by demonstrating uniqueness of a class of solutions due to Buchdahl which correspond to an extreme case of the inequality on the equation of state required by our theorem.

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