On spherical symmetry of static perfect fluid spacetimes and the positive-mass theorem

Details On spherical symmetry of static perfect fluid spacetimes and the positive-mass theorem On spherical symmetry of static perfect fluid spacetimes and the positive-mass theorem

May 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987cqgra...4..625m&link_type=abstract

Classical and Quantum Gravity (ISSN 0264-9381), vol. 4, May 1, 1987, p. 625-633. Research supported by the Australian National U

Physics

6

Asymptotic Properties, Ideal Fluids, Riemann Manifold, Space-Time Functions, Stellar Models

Scientific paper

Although it is considered physically evident, a rigorous proof that a static stellar model is spherically symmetric is still lacking. Here the relevance of the positive-mass theorem in proving the spherical symmetry of a static stellar model is discussed. As an example, the uniqueness of a particular static perfect-fluid solution due to Wyman (1949) is proved using the positive-mass theorem.

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