Projective Invariance and Einstein's Equations

Details Projective Invariance and Einstein's Equations Projective Invariance and Einstein's Equations

Jan 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997gregr..29....5g&link_type=abstract

General Relativity and Gravitation, Vol. 29, p. 5-18 (1997)

Physics

2

Scientific paper

It is shown that a projectively invariant Lagrangian field theory based on linear non-symmetric connections in space-time and arbitrary source fields is equivalent to Einstein's standard theory of gravitation coupled to a source Lagrangian depending solely on the original source fields. A key point is that, as in the case of Lagrangian field theories based on symmetric connections in space-time, the Euler--Lagrange field equations uniquely determine the projective invariant part of the linear connection in terms of the metric, their first-order derivatives, the source fields, and their conjugate momenta.

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