摘要: We study the behavior of spatially homogeneous brane-worlds close to initial singularity in presence both local and nonlocal stresses. It is found that these can be locally either isotropic or anisotropic. then investigate Weyl curvature conjecture, according which some measure related a gravitational entropy. In particular, we conjecture on brane with respect dimensionless ratio invariant Ricci square proposed by Gr{\o}n Hervik. also argue should formulated (i.e., four-dimensional context).