Alternative Lagrangians for Einstein Metrics
/ Authors
/ 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.
Journal: arXiv: General Relativity and Quantum Cosmology