Galilean first-order formulation for the nonrelativistic expansion of general relativity
Publikation: Bidrag til tidsskrift › Letter › Forskning › fagfællebedømt
Dokumenter
- PhysRevD.104.L061501
Forlagets udgivne version, 224 KB, PDF-dokument
We reformulate the Palatini action for general relativity in terms of moving frames that exhibit local Galilean covariance in a large speed of light expansion. For this, we express the action in terms of variables that are adapted to a Galilean subgroup of the GL(n, R) structure group of a general frame bundle. This leads to a novel Palatini-type formulation of general relativity that provides a natural starting point for a first-order nonrelativistic expansion. in doing so, we show how a comparison of Lorentzian and Newton-Cartan metric compatibility explains the appearance of torsion in the nonrelativistic expansion.
Originalsprog | Engelsk |
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Artikelnummer | L061501 |
Tidsskrift | Physical Review D |
Vol/bind | 104 |
Udgave nummer | 6 |
Antal sider | 6 |
ISSN | 2470-0010 |
DOI | |
Status | Udgivet - 22 sep. 2021 |
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ID: 290035150