A new shape function and some specific wormhole solutions in braneworld scenario

Considering an energy density of the form rho = q (r/r(0))(-n) (where q is an arbitrary positive constant with dimension of energy density and n > 0), a shape function is obtained by using field equations of braneworld gravity theory in this paper. Under isotropic scenario wormhole solutions are obtained considering six different redshift functions along with the obtained new shape function. For anisotropic case, wormhole solutions are obtained under the consideration of five different shape functions along with the redshift function phi = beta ln (r/r(0)), where beta is an arbitrary constant. In each case all energy conditions are examined and it is found that for some cases all energy conditions are satisfied in the vicinity of the wormhole throat and for the rest of the cases all energy conditions are satisfied except strong energy condition.

Automated summary

This paper examines the impact of energy density and shape function on wormhole solutions using field equations of braneworld gravity theory, considering isotropic and anisotropic scenarios. Different redshift functions and shape functions are explored, and it is found that in some cases all energy conditions are satisfied near the wormhole throat, while in other cases all energy conditions are met except for the strong energy condition.