(Non-)Uniqueness of Einstein–Palatini Gravity

Autor:	Alejandro Jiménez-Cano, José Alberto Orejuela, Pablo Sánchez-Moreno, Bert Janssen
Rok vydání:	2020
Předmět:	Gravitation Physics General Relativity and Quantum Cosmology symbols.namesake Formalism (philosophy of mathematics) Variational principle General relativity Non uniqueness symbols Einstein Affine connection Lagrangian Mathematical physics
Zdroj:	Fundamental Physics and Physics Education Research ISBN: 9783030529222
DOI:	10.1007/978-3-030-52923-9_5
Popis:	We analyse the most general connection allowed by Einstein–Hilbert theory in Palatini formalism. We also consider a matter lagrangian independent of the affine connection. We show that any solution of the equation of the connection is essentially Levi-Civita up to a term that contains an undetermined 1-form. Finally, it is proved that these connections and Levi-Civita describe a completely equivalent physics.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::5a5ac0d96b77c644039122cceb5245cc https://doi.org/10.1007/978-3-030-52923-9_5 Zobrazit plný text záznamu