General solution for a relativistic star

Details General solution for a relativistic star General solution for a relativistic star

Dec 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997cqgra..14.3475m&link_type=abstract

Classical and Quantum Gravity, Volume 14, Issue 12, pp. 3475-3480 (1997).

Physics

19

Scientific paper

In a spherically symmetric spacetime we find the general solution for a relativistic star in hydrostatic equilibrium having the spheroidal geometry for the 3-space embedded in 4-Euclidean space. The parameter 0264-9381/14/12/027/img6 is the measure of spheroidal character and determines the physical properties of the star. It has a lower bound 0264-9381/14/12/027/img7 stars with smaller mass to radius ratio can occur for all allowed 0264-9381/14/12/027/img6 while ultracompact stars, having ratios between 1/3 and 1/2, will have 0264-9381/14/12/027/img9. It turns out that a wide range of values of 0264-9381/14/12/027/img6 can represent objects with the fluid density of a neutron star. The model is shown to possess all the desirable physical features.

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