Non-relativistic spinning particle in a Newton-Cartan background
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DOI: 10.1007/jhep01(2018)002
Abstract: A bstractWe construct the action of a non-relativistic spinning particle moving in a general torsionless Newton-Cartan background. The particle does not follow the geodesic equations, instead the motion is governed by the non-relativistic analog of… read more here.
Keywords: relativistic spinning; particle; spinning particle; newton cartan ... See more keywords
T-duality of non-relativistic string in torsional Newton-Cartan background
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DOI: 10.1007/jhep05(2020)024
Abstract: In this short note we analyse T-duality properties of non-relativistic string in torsional Newton-Cartan background. We also determine condition that ensures that non-relativistic string maps to non-relativistic string under T-duality. read more here.
Keywords: duality; torsional newton; string torsional; newton cartan ... See more keywords
Newton-Cartan gravity and torsion
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DOI: 10.1007/jhep10(2017)194
Abstract: A bstractWe compare the gauging of the Bargmann algebra, for the case of arbitrary torsion, with the result that one obtains from a null-reduction of General Relativity. Whereas the two procedures lead to the same… read more here.
Keywords: torsion; arbitrary torsion; geometry; newton cartan ... See more keywords
The teleparallel equivalent of Newton–Cartan gravity
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DOI: 10.1088/1361-6382/aad70d
Abstract: We construct a notion of teleparallelization for Newton-Cartan theory, and show that the teleparallel equivalent of this theory is Newtonian gravity; furthermore, we show that this result is consistent with teleparallelization in general relativity, and… read more here.
Keywords: gravity; newton cartan; teleparallel equivalent; theory ... See more keywords
Teleparallel Newton–Cartan gravity
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DOI: 10.1088/1361-6382/accc02
Abstract: We discuss a teleparallel version of Newton–Cartan gravity. This theory arises as a formal large-speed-of-light limit of the teleparallel equivalent of general relativity (TEGR). Thus, it provides a geometric formulation of the Newtonian limit of… read more here.
Keywords: newton cartan; gravity; gravity teleparallel; cartan gravity ... See more keywords
Hamiltonian for a string in a Newton-Cartan background
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DOI: 10.1103/physrevd.98.086010
Abstract: This paper is devoted to the construction of the Hamiltonian for non-relativistic string in the Newton-Cartan background. We start with the Hamiltonian for relativistic string in general background. Then we perform limiting procedure on the… read more here.
Keywords: string newton; newton cartan; relativistic string; cartan background ... See more keywords
Nonrelativistic fluids on scale covariant Newton–Cartan backgrounds
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DOI: 10.1142/s0217751x17502062
Abstract: The nonrelativistic covariant framework for fields is extended to investigate fields and fluids on scale covariant curved backgrounds. The scale covariant Newton–Cartan background is constructed using the localization of space–time symmetries of nonrelativistic fields in… read more here.
Keywords: fluids scale; covariant newton; scale covariant; newton cartan ... See more keywords