A background-dependent approach to the theory of gravitation. I. Quasistatic limit.

Details A background-dependent approach to the theory of gravitation. I. Quasistatic limit. A background-dependent approach to the theory of gravitation. I. Quasistatic limit.

Sep 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976gregr...7..731g&link_type=abstract

General Relativity and Gravitation, Volume 7, Issue 9, pp.731-741

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Scientific paper

On the basis of a Machian view of nature we find a covariant formulation of Newton's gravitational equation in a general frame which satisfies the requirements (i) of being singular if the density of mass is zero everywhere and (ii) of depending on the parallel transport of the four-momentum density of matter (from the three-space point in which it is defined to any other three-space point, at any fixed time) in such a way that it incorporates the idea that the frame has to be fixeddirectly in connection with the distribution and motion of matter. In Paper II we will use such an equation as starting point in order to find relativistic gravitational equations which are supposed to hold in any conceivable universe, describe a purely geometrical theory of gravitation, and explicitly incorporate Mach's principle.

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