Statistics – Computation
Scientific paper
Sep 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989ap%26ss.159..203p&link_type=abstract
Astrophysics and Space Science (ISSN 0004-640X), vol. 159, no. 2, Sept. 1989, p. 203-218. Research supported by the Council of S
Statistics
Computation
2
Computational Astrophysics, Neutron Stars, Polytropic Processes, Relativity, Gravitational Effects, Moments Of Inertia, Red Shift, Stellar Cores, Stellar Models, Stellar Rotation
Scientific paper
A detailed study of classical polytropes in general relativity is presented for chi(0) (equivalent to (dP/dE)-sub0) no greater than 1.0 and sigma(0) (equivalent to P/E-sub0) less than or equal to chi(0), where E is the coordinate density and P is the pressure. The behavior of various structural parameters is studied with mu(0) (equivalent to sigma(0)/chi(0), where sigma(0) and chi(0) are the values of P/E and dP/dE at the center). The most important result is that the qualitative behavior of all the structural parameters depends only on the value of mu(0) for the various assigned chi(0) values. The maximum value of surface red shift occurs when mu(0) = 0.6 and, for chi(0) = 1.0, it equals 0.618. These structures are gravitationally bound for mu(0) less than or equal to 0.8 and most for mu(0) = 0.4. The maximum value of the binding coefficient comes out to be 0.181 when chi(0) = 1.0. These structures are used to model neutron stars. Based on this model, the maximum mass of a neutron star comes out to be 2.55 solar masses and the maximum size comes out to be 15.0 km. It is also found that the structures are pulsationally stable for mu(0) less than or equal to 0.6.
Durgapal M. C.
Pande A. K.
Pandey S. C.
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