Compact objects in pure Lovelock theory

Abstract

For static fluid interiors of compact objects in pure Lovelock gravity (involving only one [Formula: see text]th order term in the equation), we establish similarity in solutions for the critical odd and even [Formula: see text] dimensions. It turns out that in critical odd [Formula: see text] dimensions, there cannot exist any bound distribution with a finite radius, while in critical even [Formula: see text] dimensions, all solutions have similar behavior. For exhibition of similarity, we would compare star solutions for [Formula: see text] in [Formula: see text] Einstein and [Formula: see text] in Gauss–Bonnet theory, respectively. We also obtain the pure Lovelock analogue of the Finch–Skea model.