Holonomy Transformation in the FRW Metric
A.M. de M. Carvalho, Claudio Furtado
TL;DR
This paper explores the properties of loop variables and holonomy in Friedmann-Robertson-Walker spacetime, focusing on parallel transport of vectors and spinors to understand its global geometric features.
Contribution
It provides a detailed analysis of holonomy transformations and band invariance in FRW spacetime, which is a novel approach in understanding its global structure.
Findings
Holonomy transformations depend on the path in FRW spacetime.
Band holonomy invariance is characterized in this cosmological model.
Parallel transport reveals insights into the global properties of the universe model.
Abstract
In this work we investigate loop variables in Friedman-Robertson-Walker spacetime. We analyze the parallel transport of vectors and spinors in several paths in this spacetime in order to classify its global properties. The band holonomy invariance is analysed in this background.
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