General relativistic incompressibility

Details General relativistic incompressibility General relativistic incompressibility

Dec 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976natur.264..529c&link_type=abstract

Nature, vol. 264, Dec. 9, 1976, p. 529-531.

Astronomy and Astrophysics

Astrophysics

4

Astrophysics, Equations Of State, Incompressibility, Relativity, Schwarzschild Metric, Eddington Approximation, Gravitational Fields, Incompressible Fluids, Neutron Stars

Scientific paper

A new definition of incompressibility which is consistent with the basic principles of relativity is presented and the natural generalization of the Schwarzschild equation of state to general relativity is considered. The generalization is concerned with the constancy of proper density. It is found that the new concept approximates a truly incompressible fluid more closely than that presented by both Schwarzschild (1916) and Eddington (1965). The maximum value of gravitational redshift and the upper limit to the mass of a neutron star are larger for the new model than for the Schwarzschild model, which is traditionally considered.

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