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On a variational principle for Newton-Cartan Gravity

Spreen, Eric (2019) On a variational principle for Newton-Cartan Gravity. Master's Thesis / Essay, Physics.

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Abstract

It is well known that Newton-Cartan Gravity can be obtained by applying a gauging procedure to the Bargmann Algebra. However, there is still no action known for this theory. We review how these gauging procedures work, and investigate through the use of Inönü-Wigner contractions and Lie algebra expansions why such an action eludes is. These procedures hint at a fundamental inability to produce invariant terms containing the field corresponding to the central generator of the Bargmann Algebra, giving us a direction in which to search for a proof of inexistence for the Newton-Cartan Action.

Item Type: Thesis (Master's Thesis / Essay)
Supervisor:
Supervisor nameSupervisor E mail
Bergshoeff, E.A.E.A.Bergshoeff@rug.nl
Degree programme: Physics
Thesis type: Master's Thesis / Essay
Language: English
Date Deposited: 14 Aug 2019
Last Modified: 15 Aug 2019 08:42
URI: http://fse.studenttheses.ub.rug.nl/id/eprint/20664

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