Palatini variation of a generalized Einstein Lagrangian

Details Palatini variation of a generalized Einstein Lagrangian Palatini variation of a generalized Einstein Lagrangian

May 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980gregr..12..373k&link_type=abstract

General Relativity and Gravitation, vol. 12, May 1980, p. 373-378. Research supported by the Natural Sciences and Engineering R

Physics

12

Astronomical Models, Einstein Equations, Lagrange Multipliers, Relativity, Field Theory (Physics), Hermitian Polynomial, Variational Principles, Vector Analysis

Scientific paper

The Palatini variation of the Einstein Lagrangian is analyzed for a symmetric metric and for a more general sesquilinear (Hermitian) form. In the latter case the Lagrangian is no longer projectively invariant, and the connection is determined to be metrical up to a real lambda transformation. The Einstein-Straus equations emerge as a natural geometrical generalization of general relativity.

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