On the spherical symmetry of static stellar models

Details On the spherical symmetry of static stellar models On the spherical symmetry of static stellar models

Apr 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994cmaph.162..123l&link_type=abstract

Communications in Mathematical Physics, Volume 162, Issue 1, pp.123-145

Mathematics

Mathematical Physics

20

Scientific paper

This paper completes the proof of the necessity of spherical symmetry in the static general-relativistic stellar models that have equations of state satisfying certain inequalities. The technical assumption — that there exists a “reference spherical stellar model” — that was essential in the previous discussions of this problem is removed. This paper also extends beyond previous discussions the class of equations of state included in the proof. The analysis of the equations for spherical stellar models, used here to demonstrate the existence of a “reference spherical model,” may also be of independent interest.

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