Two theorems on flat space-time gravitational theories.

Details Two theorems on flat space-time gravitational theories. Two theorems on flat space-time gravitational theories.

Oct 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980gregr..12..825c&link_type=abstract

General Relativity and Gravitation, Volume 12, Issue 10, pp.825-835

Physics

Gravitation Theory

Scientific paper

The first theorem states that all flat space-time gravitational theories must have a Lagrangian with a first term that is an homogeneous (degree-1) function of the 4-velocityu i , plus a functional of η ij u i u j . The second theorem states that all gravitational theories, that satisfy the strong equivalence principle have a Lagrangian with a first termg ij (x)u i u j plus an irrelevant term. In both cases the theories must issue from a unique variational principle. Therefore, under this condition it is impossible to find a flat space-time theory that satisfies the strong equivalence principle.

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