Statistics – Computation
Scientific paper
Dec 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989ap%26ss.162..315k&link_type=abstract
Astrophysics and Space Science (ISSN 0004-640X), vol. 162, no. 2, Dec. 1989, p. 315-336.
Statistics
Computation
11
Astronomical Models, Computational Astrophysics, Einstein Equations, Ideal Fluids, Neutron Stars, Relativistic Theory, Light Speed, Schwarzschild Metric
Scientific paper
An exact solution of Einstein's equations for a static isentropic perfect fluid sphere is examined in detail. The analysis yields a strong indication that the model is stable with respect to infinitesimal radial pulsations. This means that the temperature is decreasing outwards. It is proven that the adiabatic speed of sound is everywhere less than the speed of light if and only if the radius of the sphere is larger than 1.61 times its Schwarzschild radius. It is shown that the strong energy condition is fulfilled everywhere if and only if the radius is larger than 1.76 times the Schwarzschild radius. The necessary and sufficient condition for the speed of sound to be decreasing outwards is given, and it is found that this criterion is fulfilled if the fluid is causal. Taking the values of the pressure and the density to be given by the maximum values from the Baym et al. (1977) equation of state, the maximum mass of the fluid sphere is found to be 2.5 solar masses.
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