Galilean first-order formulation for the nonrelativistic expansion of general relativity

Publikation: Bidrag til tidsskrift › Letter › Forskning › fagfællebedømt

Standard

Galilean first-order formulation for the nonrelativistic expansion of general relativity. / Hansen, Dennis; Hartong, Jelle; Obers, Niels A.; Oling, Gerben.

I: Physical Review D, Bind 104, Nr. 6, L061501, 22.09.2021.

Publikation: Bidrag til tidsskrift › Letter › Forskning › fagfællebedømt

Harvard

Hansen, D, Hartong, J, Obers, NA & Oling, G 2021, 'Galilean first-order formulation for the nonrelativistic expansion of general relativity', Physical Review D, bind 104, nr. 6, L061501. https://doi.org/10.1103/PhysRevD.104.L061501

APA

Hansen, D., Hartong, J., Obers, N. A., & Oling, G. (2021). Galilean first-order formulation for the nonrelativistic expansion of general relativity. Physical Review D, 104(6), [L061501]. https://doi.org/10.1103/PhysRevD.104.L061501

Vancouver

Hansen D, Hartong J, Obers NA, Oling G. Galilean first-order formulation for the nonrelativistic expansion of general relativity. Physical Review D. 2021 sep. 22;104(6). L061501. https://doi.org/10.1103/PhysRevD.104.L061501

Author

Hansen, Dennis ; Hartong, Jelle ; Obers, Niels A. ; Oling, Gerben. / Galilean first-order formulation for the nonrelativistic expansion of general relativity. I: Physical Review D. 2021 ; Bind 104, Nr. 6.

Bibtex

@article{cd4fd33c30414958b2d61784712a19c8,
title = "Galilean first-order formulation for the nonrelativistic expansion of general relativity",
abstract = "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.",
author = "Dennis Hansen and Jelle Hartong and Obers, {Niels A.} and Gerben Oling",
year = "2021",
month = sep,
day = "22",
doi = "10.1103/PhysRevD.104.L061501",
language = "English",
volume = "104",
journal = "Physical Review D",
issn = "2470-0010",
publisher = "American Physical Society",
number = "6",

}

RIS

TY - JOUR

T1 - Galilean first-order formulation for the nonrelativistic expansion of general relativity

AU - Hansen, Dennis

AU - Hartong, Jelle

AU - Obers, Niels A.

AU - Oling, Gerben

PY - 2021/9/22

Y1 - 2021/9/22

N2 - 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.

AB - 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.

U2 - 10.1103/PhysRevD.104.L061501

DO - 10.1103/PhysRevD.104.L061501

M3 - Letter

VL - 104

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

IS - 6

M1 - L061501

ER -

ID: 290035150