Variational theory of the Ricci curvature tensor dynamics

Abstract In this letter a new Lagrangian variational principle is proved to hold for the Einstein field equations, in which the independent variational tensor field is identified with the Ricci curvature tensor $$R^{\mu \nu }$$ R μ ν rather than the metric tensor $$g_{\mu \nu }$$ g μ ν . The corresp...

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Bibliographic Details
Main Authors: Claudio Cremaschini, Jiří Kovář, Zdeněk Stuchlík, Massimo Tessarotto
Format: Article
Language:English
Published: SpringerOpen 2021-11-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-021-09847-6