Higher Dimensional Particle Model in Pure Lovelock Gravity

S. Danial Forghani; S. Habib Mazharimousavi; Mustafa Halilsoy

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arXiv · 2002.12753

Higher Dimensional Particle Model in Pure Lovelock Gravity

S. Danial Forghani·S. Habib Mazharimousavi·Mustafa Halilsoy

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Abstract

In this paper, based on the thin-shell formalism, we introduce a classical model for particles in the framework of $n+1-$dimensional $\left[\frac{n}{2}\right]$-order pure Lovelock gravity. In particular, we construct a spherically symmetric particle of radius $a$ whose inside is a flat Minkowski spacetime while its outside is charged pLG solution. Knowing that in $n+1-$dimensional spherically symmetric Einstein gravity ($R$-gravity) such a particle model cannot be constructed, as we have discussed first, provides the main motivation for this study. In fact, it is the richness of Lovelock parameters that provides such a particle construction possible. On the thin-shell, the energy-momentum components are chosen to vanish, yet their normal derivatives are non-zero.

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S. Danial Forghani, S. Habib Mazharimousavi, Mustafa Halilsoy. 2020-02-21. Higher Dimensional Particle Model in Pure Lovelock Gravity. https://arxiv.org/abs/2002.12753

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