Relativistic spherical polytropes - an analytical approach

Details Relativistic spherical polytropes - an analytical approach Relativistic spherical polytropes - an analytical approach

Jul 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981gregr..13..663s&link_type=abstract

General Relativity and Gravitation, vol. 13, July 1981, p. 663-667.

Physics

3

Boundary Value Problems, Equations Of State, Equilibrium Equations, Polytropic Processes, Relativity, Stellar Gravitation, Field Theory (Physics), Gravitational Fields, Runge-Kutta Method, Spheres

Scientific paper

The Pade (2, 2) approximant technique is used in an approximate analytical solution to the field equations of general relativity for time-independent, spherically symmetric systems in which the pressure and density are related by a polytropic equation of state. Tabulations are presented for both the boundary values of coordinate radius for polytropic indices n equals 0, 1.0(0.5)3.0, and the values of the physical parameters mass, density concentration, and the ratio of gravitational radius to coordinate radius for n values of 0 and 1.

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