Alternative Lagrangians for Einstein Metrics
A. Borowiec, M. Francaviglia
TL;DR
This paper employs variational decomposition in the Palatini formalism to derive equations of motion and energy-momentum complexes for non-linear gravitational Lagrangians, revealing complex space-times as solutions.
Contribution
It introduces a novel application of variational decomposition to non-linear gravitational Lagrangians in the Palatini formalism, deriving equations of motion and energy-momentum complexes.
Findings
Complex space-times emerge as solutions.
Derived equations of motion for non-linear Lagrangians.
Calculated Noether energy-momentum complex.
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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Taxonomy
TopicsBlack Holes and Theoretical Physics · Cosmology and Gravitation Theories · Noncommutative and Quantum Gravity Theories