A proof of the uniqueness of static stellar models with small d(rho)/dp

Details A proof of the uniqueness of static stellar models with small d(rho)/dp A proof of the uniqueness of static stellar models with small d(rho)/dp

Mar 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988cqgra...5..409m&link_type=abstract

Classical and Quantum Gravity (ISSN 0264-9381), vol. 5, March 1, 1988, p. 409-421. Research supported by the Max-Planck-Institut

Mathematics

14

Equations Of State, Sobolev Space, Stellar Models, Uniqueness Theorem, Asymptotic Properties, Static Models

Scientific paper

The technique of Masood-ul-Alam (1987) is modified in order to find, for a given stellar model, a conformal transformation such that the resulting metric of the t = constant hypersurface is asymptotically Euclidean with mass zero and has nonnegative scalar curvature. The positive-mass theorem is used to prove the uniqueness of a static stellar model under the conditions that the equation of state is such that d(rho)/dp is small and that there exists a spherically symmetric stellar model with the same equation of state and surface potential.

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