Higher-dimensional particle model in pure Lovelock gravity

Abstract

In this paper, based on the thin-shell formalism, we introduce a classical model for particles in the framework of (n + 1)-dimensional [n/2]-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 nonzero.