General relativistic incompressibility

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astrophysics, Incompressibility, Relativity, Astronomical Models, Equations Of State, Red Shift

Scientific paper

A critique made by Brecher and Wasserman (1977) of a concept of general relativistic incompressibility redefined by Cooperstock and Sarracino (1976) is presented. Brecher and Wasserman suggest that the local mass density can be related to the pressure through an equation of state established in an inertial reference frame. The equation disregards the local gravitational potential in calculating the mass of an equilibrium configuration in general relativity. They assert that Cooperstock and Sarracino have incorrectly divided the integral for mass into a product of proper volume and proper density, and have misunderstood the point of the equivalence principle in stating that the global contribution of gravitation to the overall mass-energy of a star will affect the local stress tensor. A reply from Cooperstock and Sarracino (1977) is appended noting that with respect to a frame at rest relative to a spherically-symmetric body, proper mass density is well defined.

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