Galilean rst-order formulation for the non-relativistic expansion of general relativity
| Autor: | Niels A. Obers, Dennis Hansen, Jelle Hartong, Gerben Oling |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
High Energy Physics - Theory
Physics General relativity Torsion (mechanics) FOS: Physical sciences General Relativity and Quantum Cosmology (gr-qc) Covariance First order General Relativity and Quantum Cosmology Galilean High Energy Physics - Theory (hep-th) Bundle General frame Mathematical physics |
| Zdroj: | Hansen, D, Hartong, J, Obers, N A & Oling, G 2021, ' Galilean rst-order formulation for the non-relativistic expansion of general relativity ', Physical Review D, vol. 104, no. 6, L061501 . https://doi.org/10.1103/PhysRevD.104.L061501 Physical Review D, 104 (6) Physical Review Hansen, D, Hartong, J, Obers, N A & Oling, G 2021, ' Galilean first-order formulation for the nonrelativistic expansion of general relativity ', Physical Review D, vol. 104, no. 6, L061501 . https://doi.org/10.1103/PhysRevD.104.L061501 |
| ISSN: | 1550-7998 0556-2821 1550-2368 |
| DOI: | 10.1103/PhysRevD.104.L061501 |
| Popis: | 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. Physical Review D, 104 (6) ISSN:1550-7998 ISSN:0556-2821 ISSN:1550-2368 |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|