Mass and moment-of-inertia peaks in general relativity

Details Mass and moment-of-inertia peaks in general relativity Mass and moment-of-inertia peaks in general relativity

Sep 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975apj...200..263a&link_type=abstract

Astrophysical Journal, vol. 200, Sept. 1, 1975, pt. 1, p. 263-268.

Other

Astronomical Models, Moments Of Inertia, Neutron Stars, Relativistic Effects, Stellar Mass, White Dwarf Stars, Classical Mechanics, Density Distribution, Equations Of State, Extremum Values, Newton Theory, Relativity

Scientific paper

It is shown that mass and moment-of-inertia maxima exist for any physically reasonable equation of state and that these maxima approach each other as the central density of a neutron star increases. A simple Newtonian stellar model is used to derive a procedure for predicting these maxima in white dwarfs. The general theory of relativity is employed to derive a procedure for predicting these maxima in neutron stars as well as for predicting the position of a white dwarf's mass maximum. The general-relativistic technique is demonstrated on a stellar model having a polytropic equation of state.

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