Review on non-relativistic gravity
Publikation: Bidrag til tidsskrift › Review › Forskning › fagfællebedømt
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Review on non-relativistic gravity. / Hartong, Jelle; Obers, Niels A.; Oling, Gerben.
I: Frontiers in Physics, Bind 11, 1116888, 16.03.2023.Publikation: Bidrag til tidsskrift › Review › Forskning › fagfællebedømt
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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