Review on non-relativistic gravity

Research output: Contribution to journal › Review › Research › peer-review

Standard

Review on non-relativistic gravity. / Hartong, Jelle; Obers, Niels A.; Oling, Gerben.

In: Frontiers in Physics, Vol. 11, 1116888, 16.03.2023.

Research output: Contribution to journal › Review › Research › peer-review

Harvard

Hartong, J, Obers, NA & Oling, G 2023, 'Review on non-relativistic gravity', Frontiers in Physics, vol. 11, 1116888. https://doi.org/10.3389/fphy.2023.1116888

APA

Hartong, J., Obers, N. A., & Oling, G. (2023). Review on non-relativistic gravity. Frontiers in Physics, 11, [1116888]. https://doi.org/10.3389/fphy.2023.1116888

Vancouver

Hartong J, Obers NA, Oling G. Review on non-relativistic gravity. Frontiers in Physics. 2023 Mar 16;11. 1116888. https://doi.org/10.3389/fphy.2023.1116888

Author

Hartong, Jelle ; Obers, Niels A. ; Oling, Gerben. / Review on non-relativistic gravity. In: Frontiers in Physics. 2023 ; Vol. 11.

Bibtex

@article{efb66fd944964a75b1396c61a9406326,
title = "Review on non-relativistic gravity",
abstract = "This study reviews the history of Newton-Cartan (NC) gravity with an emphasis on recent developments, including the covariant, off-shell large speed of light expansion of general relativity. Depending on the matter content, this expansion leads to either NC geometry with absolute time or NC geometry with non-relativistic gravitational time dilation effects. The latter shows that non-relativistic gravity (NRG) includes a strong field regime and goes beyond Newtonian gravity. We start by reviewing early developments in NC geometry, including the covariant description of Newtonian gravity, mainly through the works of Trautman, Dautcourt, Kunzle, and Ehlers. We then turn to more modern developments, such as the gauging of the Bargmann algebra and describe why the latter cannot be used to find an off-shell covariant description of Newtonian gravity. We review recent work on the 1/c expansion of general relativity and show that this leads to an alternative {"}type II{"} notion of NC geometry. Finally, we discuss matter couplings, solutions, and odd powers in 1/c and conclude with a brief summary of related topics.",
keywords = "Newton-Cartan gravity, non-relativistic gravity, torsional Newton-Cartan geometry, expansions of general relativity, Bargmann symmetry, null reduction, GALILEI, SPACETIMES, MECHANICS, LIMIT",
author = "Jelle Hartong and Obers, {Niels A.} and Gerben Oling",
year = "2023",
month = mar,
day = "16",
doi = "10.3389/fphy.2023.1116888",
language = "English",
volume = "11",
journal = "Frontiers in Physics",
issn = "2296-424X",
publisher = "Frontiers Media S.A",

}

RIS

TY - JOUR

T1 - Review on non-relativistic gravity

AU - Hartong, Jelle

AU - Obers, Niels A.

AU - Oling, Gerben

PY - 2023/3/16

Y1 - 2023/3/16

N2 - This study reviews the history of Newton-Cartan (NC) gravity with an emphasis on recent developments, including the covariant, off-shell large speed of light expansion of general relativity. Depending on the matter content, this expansion leads to either NC geometry with absolute time or NC geometry with non-relativistic gravitational time dilation effects. The latter shows that non-relativistic gravity (NRG) includes a strong field regime and goes beyond Newtonian gravity. We start by reviewing early developments in NC geometry, including the covariant description of Newtonian gravity, mainly through the works of Trautman, Dautcourt, Kunzle, and Ehlers. We then turn to more modern developments, such as the gauging of the Bargmann algebra and describe why the latter cannot be used to find an off-shell covariant description of Newtonian gravity. We review recent work on the 1/c expansion of general relativity and show that this leads to an alternative "type II" notion of NC geometry. Finally, we discuss matter couplings, solutions, and odd powers in 1/c and conclude with a brief summary of related topics.

AB - This study reviews the history of Newton-Cartan (NC) gravity with an emphasis on recent developments, including the covariant, off-shell large speed of light expansion of general relativity. Depending on the matter content, this expansion leads to either NC geometry with absolute time or NC geometry with non-relativistic gravitational time dilation effects. The latter shows that non-relativistic gravity (NRG) includes a strong field regime and goes beyond Newtonian gravity. We start by reviewing early developments in NC geometry, including the covariant description of Newtonian gravity, mainly through the works of Trautman, Dautcourt, Kunzle, and Ehlers. We then turn to more modern developments, such as the gauging of the Bargmann algebra and describe why the latter cannot be used to find an off-shell covariant description of Newtonian gravity. We review recent work on the 1/c expansion of general relativity and show that this leads to an alternative "type II" notion of NC geometry. Finally, we discuss matter couplings, solutions, and odd powers in 1/c and conclude with a brief summary of related topics.

KW - Newton-Cartan gravity

KW - non-relativistic gravity

KW - torsional Newton-Cartan geometry

KW - expansions of general relativity

KW - Bargmann symmetry

KW - null reduction

KW - GALILEI

KW - SPACETIMES

KW - MECHANICS

KW - LIMIT

U2 - 10.3389/fphy.2023.1116888

DO - 10.3389/fphy.2023.1116888

M3 - Review

VL - 11

JO - Frontiers in Physics

JF - Frontiers in Physics

SN - 2296-424X

M1 - 1116888

ER -

ID: 344637299