Poisson's equation in de Sitter space-time

Details Poisson's equation in de Sitter space-time Poisson's equation in de Sitter space-time

Nov 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980gregr..12..913p&link_type=abstract

General Relativity and Gravitation, vol. 12, Nov. 1980, p. 913-916.

Physics

Gravitational Fields, Poisson Equation, Relativity, Space-Time Functions, Cosmology, Field Theory (Physics), Galactic Evolution, Newton Theory, Stellar Evolution

Scientific paper

The forms of generalized Newtonian gravitational fields in the projective relativity based on de Sitter space-time is examined. It is shown that in the de Sitter universe, in which the Laplace operator in the gravitational field equations is replaced by a generalized Laplace operator, the expressions for the gravitational field exterior to a source has the same form as in classical Newtonian theory, while that for the field within a source, represented by the Poisson equation, is only identical to the Newtonian solution if the radial coordinate is very small in comparison to the radius of the de Sitter space-time. For situations in which this is not the case, a slight difference between the two expressions in the form of a repulsive force is obtained which may be important in such cosmological problems as the evolution of stars and galaxies or galactic morphology and clustering.

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