The inconsistency of two nonmetric theories of gravity

Details The inconsistency of two nonmetric theories of gravity The inconsistency of two nonmetric theories of gravity

May 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982ncimb..69...89c&link_type=abstract

Nuovo Cimento B, Serie 11, vol. 69 B, May 11, 1982, p. 89-96. Research supported by the Science Research Council of England and

Astronomy and Astrophysics

Astronomy

7

Astronomical Models, Gravitation Theory, Space-Time Functions, Conservation Laws, Equations Of Motion, Particle Motion

Scientific paper

It can be shown that the conservation laws involving the energy-momentum tensor in a space-time consisting of dust imply a governing of dust motion by the geodetic equation. This case is referred to as the dust condition. Two nonmetric theories are considered, in the first of which the conservation laws equal zero although test particles are not governed by the geodesic equation, while in the second theory the test particles are so governed and the conservation laws do not equal zero. It is shown that the dust condition suffices in proving that the nonmetric versions of these two theories are inconsistent.

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