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The equivalence between second-order, Ostrogradsky-free (Galileon) Lagrangians and regular first-order theories.

Hakvoort, K.J.D. (2017) The equivalence between second-order, Ostrogradsky-free (Galileon) Lagrangians and regular first-order theories. Master's Thesis / Essay, Physics.

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Abstract

Galileon theories are a class of scalar theories, where the second-order derivative appears in the Lagrangian. Traditionally, such second-order theories have been deemed unstable, plagued by the so-called Ostrogradsky-Ghost. Recent work however suggests that Galileon theories are stable, and in fact might be equivalent to ordinary first-order Lagrangians. In this thesis, I examine these Galileon theories, as well as other second order theories. I then use the Cartan Equivalence Algorithm to test the equivalence of second order theories to first order theoeries. From this test, I conclude that pure second order, mechanical theories are equivalent to first-order theories.

Item Type: Thesis (Master's Thesis / Essay)
Degree programme: Physics
Thesis type: Master's Thesis / Essay
Language: English
Date Deposited: 15 Feb 2018 08:34
Last Modified: 15 Feb 2018 08:34
URI: http://fse.studenttheses.ub.rug.nl/id/eprint/16296

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