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Alternative Lagrangians for Einstein Metrics

A. Borowiec·M. Francaviglia
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Abstract

We shall use the variational decomposition technique in order to calculate equations of motion and Noether energy-momentum complex for some classes of non-linear gravitational Lagrangians within the first-order (Palatini) formalism. In particular, a complex space-time appears as a solution of our variational problem.

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A. Borowiec, M. Francaviglia. 1998-07-24. Alternative Lagrangians for Einstein Metrics. https://arxiv.org/abs/gr-qc/9806116

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