About the (in)equivalence between holonomic versus non-holonomic theories of gravity

Autor:	Sadovski, Guilherme
Rok vydání:	2022
Předmět:	General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics
Druh dokumentu:	Working Paper
DOI:	10.1142/S0219887825500045
Popis:	We investigate the scenarios in which a holonomic versus a non-holonomic frame description of gravity theories are equivalent. It turns out that classically, the equivalence holds in a way that is independent of the particular dynamics and/or spacetime dimension. This includes general metric-affine dynamics. A global bundle-theoretical investigation is carried out, uncovering the equivalence principle as the culprit. The equivalence holds as long as the equivalence principle holds. This is not something to be expected when non-invertible configurations of the vielbein field are taken into account. In such case, the gauge-theoretical description of gravity unsolders from spacetime, and one has to decide if gravity is spacetime geometry or an internal gauge theory. Comment: 28pp
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2207.05721 Zobrazit plný text záznamu View this record from Arxiv