New analytical stellar model in general relativity

Details New analytical stellar model in general relativity New analytical stellar model in general relativity

Jan 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983phrvd..27..328d&link_type=abstract

Physical Review D (Particles and Fields), Volume 27, Issue 2, 15 January 1983, pp.328-331

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39

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A new analytical solution has been obtained for stellar models by solving Einstein's field equation for the spherically symmetric and static case. The variation of density is smooth and gradual. The density remains positive under all conditions. For all finite pressures the configurations are stable under radial perturbations. For dPdρ<=1, the maximum mass of a neutron-star model is 4.56Msolar, and the surface and the central red-shifts are 0.787 and 2.673, respectively. For an infinite central pressure the surface red-shift is 1.575 which is greater than that for any other analytical solution with varying density.

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