Remark on a family of static relativistic stellar models

Details Remark on a family of static relativistic stellar models Remark on a family of static relativistic stellar models

May 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cqgra...1..301b&link_type=abstract

Classical and Quantum Gravity (ISSN 0264-9381), vol. 1, May 11, 1984, p. 301-304.

Mathematics

Relativity, Static Models, Stellar Cores, Stellar Gravitation, Stellar Models, Algebra, Functions (Mathematics), Space-Time Functions

Scientific paper

A known static relativistic stellar model originally appeared as a member of a family of models, partly characterized by a continuous parameter alpha, which could manifestly be described by elementary functions for special values of alpha. It is now shown that the gravitational potentials of all members of the family can be exhibited as elementary functions of curvature coordinates, i.e., one has an 'elementary' two-parameter family of regular stellar models, the parameters being, say, alpha and beta, where 1/3 beta is the central value of the ratio of the pressure to the energy density. Some numerical results are presented.

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