Mass-radius ratio bound for horizonless charged compact object in higher dimensions

Abstract

In this paper, the mass-radius ratio bound for horizonless compact object in higher dimensions is derived. Instead of considering the various matter conditions of the compact objects following Andreasson's approach, we focus on the conditions for the existence of dynamical compact objects. The radius of the outermost circular null geodesic is derived in higher dimensions, which is the lower bound on the minimally allowed radius of dynamically stable horizonless charged compact object. Subsequently, the upper bound on the mass-radius ratio is obtained. Our results are strongly dependent on the dimensions. What's more significant is that the developed bound is proven always to be stronger than the result following Andreasson's approach in higher dimensions.