Higher-dimensional dust collapse in f(R) gravity

Abstract

The n + 2-dimensional gravitational collapse of pressureless uid is investigated in metric f ( R ) gravity. Matching conditions are derived by taking the n +2-dimensional Friedmann{Robertson{Walker (FRW) metric as interior spacetime and the n + 2-dimensional Schwarzschild metric as exterior spacetime. In the analysis of the solution of eld equations, the scalar curvature is assumed to be a constant. It is observed that the scalar curvature constant term f ( R 0 ) slows the collapse.