Modification of the Palatini variational principle in general relativity

Details Modification of the Palatini variational principle in general relativity Modification of the Palatini variational principle in general relativity

Feb 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983phrvd..27..719l&link_type=abstract

Physical Review D (Particles and Fields), Volume 27, Issue 4, 15 February 1983, pp.719-727

Mathematics

Logic

4

Scientific paper

A new classical action formulation of general relativity is presented. The aim is to develop a variational principle which derives both Riemannian geometry and Einstein's field equations in the general case of a gravitational field interacting with matter. The method is applied to the Hilbert action functional with a variable matter-gravity coupling. Surprisingly, the resulting theory is not general relativity with a variable G; instead, the method yields general relativity with a constant G and a cosmological constant. It is shown that the variational principle has a physical content different from that of the usual Hilbert and Palatini action formulations. A possible application of the new variational principle to the pathintegral quantization of gravity is discussed.

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