Alternative Lagrangians for Einstein Metrics

1998/06/30 by A. Borowiec, M. Francaviglia, Borowiec, A. +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Noncommutative and Quantum Gravity Theories #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/9806116

9 pages in LaTeX (sprocl.sty). Extended version; misprints removed, comments and references added. To appear in Proc. Int. Sem. Math. Cosmol., Potsdam, 1998, M. Rainer and H.-J. Schmidt (eds.), WSPC Singapore

openalex publication_date 1998/06/30 · arxiv created 1998/07/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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