Gravitational collapse of null dust in f(R) gravity
Abstract
We find exact nonstatic nulldust solutions in metric f(R) gravity, imposed by the constant scalar curvature, which describes the gravitational collapse of null dust in (anti)de Sitter [(A)dS] higherdimensional (HD) background. The situation where a null dust injects into the initially HD(A)dS spacetime leads to a naked singularity from gravitational collapse in HDf(R) gravity, violating cosmic censorship conjecture. Further, we find exact nulldust solutions to constant curvature imposed nonAbelian f(R) YangMills gauge theory by employing the WuYang ansatz in four dimensions. This generates an identical geometry as one would expect for charge null dust in the Abelian f(R) Maxwell theory, i.e., precisely the chargedVaidya(A)dS corresponding to YangMills gauge charge. The fourdimensional charged nulldust solutions in the f(R) Maxwell theory are also, separately, derived.
 Publication:

Physical Review D
 Pub Date:
 June 2012
 DOI:
 10.1103/PhysRevD.85.124064
 Bibcode:
 2012PhRvD..85l4064G
 Keywords:

 04.50.Kd;
 04.20.Jb;
 04.40.Nr;
 04.70.Bw;
 Modified theories of gravity;
 Exact solutions;
 EinsteinMaxwell spacetimes spacetimes with fluids radiation or classical fields;
 Classical black holes