New wormhole solutions on the brane

In this paper, static wormholes in the brane-world scenario are studied. We show that the existence of extra terms coming from the bulk help construct exact solutions that satisfy the null energy condition. Two important classes of solutions found earlier are analyzed in more depth in order to determine the conditions necessary for consistent solutions. Two new classes of solutions with different asymptotic behavior are also introduced. We focus on the conservation of the stress-energy tensor to achieve new solutions which have the important property of asymptotic flatness. Some main mathematical and physical properties of the solutions are addressed.