Topological and geometric obstructions on Einstein–Hilbert–Palatini theories

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Aug 2019Embargo end date: 01 Jan 2018 English Publisher:Elsevier BVJournal:Journal of Geometry and Physics, volume 142, pages 229-239 (issn: 0393-0440,

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Authors: Yuri Ximenes Martins; Rodney Josué Biezuner;

doi: 10.1016/j.geomphys.2019.04.012 , 10.48550/arxiv.1808.09249 , 10.5281/zenodo.3696779 , 10.5281/zenodo.3696778

arXiv: 1808.09249

Topological and geometric obstructions on Einstein–Hilbert–Palatini theories

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Abstract

In this article we introduce $A$-valued Einstein-Hilbert-Palatini functional ($A$-EHP) over a n-manifold $M$, where $A$ is an arbitrary graded algebra, as a generalization of the functional arising in the study of the first order formulation of gravity. We show that if $A$ is weak $(k,s)$-solvable, then $A$-EHP is non-null only if $n

Related Organizations

Universidade Federal de Minas Gerais
Brazil
UNIVERSIDADE DE SAO PAULO
Brazil
Universidade Federal de Minas Gerais
Brazil
Federal University of Minas Gerais
Brazil

Keywords

Mathematics - Differential Geometry, Local differential geometry of Lorentz metrics, indefinite metrics, FOS: Physical sciences, PDEs in connection with relativity and gravitational theory, topological obstructions, Mathematical Physics (math-ph), Einstein-Hilbert-Palatini functional, General relativity, Differential Geometry (math.DG), FOS: Mathematics, geometric Einstein manifolds, weak $(k, s)$-solvable graded algebras, Generalized geometries (à la Hitchin), Mathematical Physics

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