Considering an energy density of the form ρ = q r r0−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 ϕ = βln r r0, where β 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.

中文翻译：

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braneworld 场景中的一种新形状函数和一些特定的虫洞解决方案

考虑形式的能量密度ρ = q r r0-n（在哪里q是具有能量密度维度的任意正常数，并且n > 0),本文利用braneworld引力理论的场方程得到一个形状函数。考虑六种不同的红移函数以及获得的新形状函数，在各向同性场景下获得虫洞解。对于各向异性情况，虫洞解是在考虑五种不同形状函数以及红移函数的情况下获得的φ = βln r r0， 在哪里β是一个任意常数。在每种情况下都检查了所有能量条件，发现在某些情况下，虫洞喉部附近的所有能量条件都得到满足，而在其余情况下，除了强能量条件外，所有能量条件都得到满足。