Thin shell dynamics in Lovelock gravity

Abstract We study matching conditions for a spherically symmetric thin shell in Lovelock gravity which can be read off from the variation of the corresponding first-order action. In point of fact, the addition of Myers’ boundary terms to the gravitational action eliminates the dependence on the acce...

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Main Authors: Pablo Guilleminot, Nelson Merino, Rodrigo Olea
Format: Article
Language:English
Published: SpringerOpen 2022-11-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-022-10965-y
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author Pablo Guilleminot
Nelson Merino
Rodrigo Olea
author_facet Pablo Guilleminot
Nelson Merino
Rodrigo Olea
author_sort Pablo Guilleminot
collection DOAJ
description Abstract We study matching conditions for a spherically symmetric thin shell in Lovelock gravity which can be read off from the variation of the corresponding first-order action. In point of fact, the addition of Myers’ boundary terms to the gravitational action eliminates the dependence on the acceleration in this functional and such that the canonical momentum appears in the surface term in the variation of the total action. This procedure leads to junction conditions given by the discontinuity of the canonical momentum defined for an evolution normal to the boundary.In particular, we correct existing results in the literature for the thin shell collapse in generic Lovelock theories, which were mistakenly drawn from an inaccurate analysis of the total derivative terms in the system.
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spelling doaj.art-1a5a0961525d477d8edfba734eeaf6e82022-12-22T03:43:26ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522022-11-01821111310.1140/epjc/s10052-022-10965-yThin shell dynamics in Lovelock gravityPablo Guilleminot0Nelson Merino1Rodrigo Olea2Departamento de Ciencias Físicas, Universidad Andres BelloInstituto de Ciencias Exactas y Naturales (ICEN), Facultad de Ciencias, Universidad Arturo PratDepartamento de Ciencias Físicas, Universidad Andres BelloAbstract We study matching conditions for a spherically symmetric thin shell in Lovelock gravity which can be read off from the variation of the corresponding first-order action. In point of fact, the addition of Myers’ boundary terms to the gravitational action eliminates the dependence on the acceleration in this functional and such that the canonical momentum appears in the surface term in the variation of the total action. This procedure leads to junction conditions given by the discontinuity of the canonical momentum defined for an evolution normal to the boundary.In particular, we correct existing results in the literature for the thin shell collapse in generic Lovelock theories, which were mistakenly drawn from an inaccurate analysis of the total derivative terms in the system.https://doi.org/10.1140/epjc/s10052-022-10965-y
spellingShingle Pablo Guilleminot
Nelson Merino
Rodrigo Olea
Thin shell dynamics in Lovelock gravity
European Physical Journal C: Particles and Fields
title Thin shell dynamics in Lovelock gravity
title_full Thin shell dynamics in Lovelock gravity
title_fullStr Thin shell dynamics in Lovelock gravity
title_full_unstemmed Thin shell dynamics in Lovelock gravity
title_short Thin shell dynamics in Lovelock gravity
title_sort thin shell dynamics in lovelock gravity
url https://doi.org/10.1140/epjc/s10052-022-10965-y
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AT nelsonmerino thinshelldynamicsinlovelockgravity
AT rodrigoolea thinshelldynamicsinlovelockgravity