Energy-momentum complex for nonlinear gravitational Lagrangians in the first-order formalism

Details Energy-momentum complex for nonlinear gravitational Lagrangians in the first-order formalism Energy-momentum complex for nonlinear gravitational Lagrangians in the first-order formalism

Jul 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994gregr..26..637b&link_type=abstract

General Relativity and Gravitation, Volume 26, Issue 7, pp.637-645

Computer Science

20

Scientific paper

It has been recently shown that there is universality of Einstein equations, in the first-order (Palatini) formalism, in the sense that for a generic nonlinear Lagrangian depending only on the scalar curvature of a metric and a torsionless connection one always gets Einstein equations. In this paper the energy-density flow for nonlinear gravitational Lagrangians is investigated in this formalism. It is shown that in the generic case the energy-momentum complex does not depend on the Lagrangian and is in fact equal to the Komar complex, known in the purely metric formalism for the standard linear Hilbert Lagrangian.

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