Tensorial rank of gravitational theories in flat space-time

Details Tensorial rank of gravitational theories in flat space-time Tensorial rank of gravitational theories in flat space-time

May 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983ncimb..75...50c&link_type=abstract

Nuovo Cimento B, Serie 11, vol. 75 B, May 11, 1983, p. 50-56. Research supported by the Consiglio Nazionale delle Ricerche.

Physics

3

Gravitation Theory, Light Transmission, Relativity, Space-Time Functions, Tensor Analysis, Approximation, Equations Of Motion, Gravitational Effects, Gravitational Waves, Optical Paths

Scientific paper

On the physical basis that the gravitational deflection of light is finite, it is shown that the only possible rank for the gravitational potential in flat space-time theories is two. Indeed, if the tensor rank is zero or unity (scalar and vector theories), the deflection of light is zero. If the rank is two, the deflection is finite, and for ranks larger than two, the deflection would be infinite.

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