Astronomy and Astrophysics – Astrophysics
Scientific paper
Oct 1979
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979ap%26ss..65..397v&link_type=abstract
Astrophysics and Space Science, vol. 65, no. 2, Oct. 1979, p. 397-413.
Astronomy and Astrophysics
Astrophysics
9
Gravitation Theory, Gravitational Fields, Particle Energy, Particle Mass, Relativity, Anisotropic Media, Cosmology, Differential Equations, Free Fall, Inhomogeneity, Isotropic Media
Scientific paper
A relation deduced between the mass of a particle and the gravitational field at the position of the particle from the general theory of relativity is presented. The fall of a particle of negligible mass in the gravitational field of a massive body is used; after establishing the relativistic potential and its relationship to the rest mass of the particle, it is shown that the difference between two potential-levels depends on the value of the radial metric coefficient at the position of an observer. It is also shown that although the mass-energy of a body is a function of the distance from it, this does not influence the relativistic potential of the body itself. It then follows that the mass-energy of a particle in a gravitational field is anisotropic, but the mass is isotropic. Finally, it is shown that local inhomogeneities in the ideal fluid filling the universe have negligible influence on the total potential in large regions.
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