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arXiv · 1602.04892

Covariant approach of perturbations in Lovelock type brane gravity

Norma Bagatella-Flores·Cuauhtemoc Campuzano·Miguel Cruz·Efrain Rojas
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Abstract

We develop a covariant scheme to describe the dynamics of small perturbations on Lovelock type extended objects propagating in a flat Minkowski spacetime. The higher-dimensional analogue of the Jacobi equation in this theory becomes a wave type equation for a scalar field $Φ$. Whithin this framework, we analyse the stability of membranes with a de Sitter geometry where we find that the Jacobi equation specializes to a Klein-Gordon (KG) equation for $Φ$ possessing a tachyonic mass. This shows that, to some extent, these type of extended objects share the symmetries of the Dirac-Nambu-Goto (DNG) action which is by no means coincidental because the DNG model is the simplest included in this type of gravity.

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Norma Bagatella-Flores, Cuauhtemoc Campuzano, Miguel Cruz, Efrain Rojas. 2016-11-26. Covariant approach of perturbations in Lovelock type brane gravity. https://doi.org/10.1088/0264-9381%2F33%2F24%2F245012

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