Higher-dimensional dust collapse in f(R) gravity

Abstract

The $n+2$-dimensional gravitational collapse of pressureless fluid 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 field 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.