In this work, we have carried out the study of a traversable wormhole in the dark matter halo. We have formulated the exact solution of the spherically symmetric traversable wormhole with isotropic pressure conditions by using the Jaffe dark matter density profile. The Jaffe profile produces a suitable shape function that meets all the requirements for presenting the wormhole geometries. We have investigated all the necessary energy conditions viz., null energy condition(NEC), weak energy condition(WEC), strong energy condition(SEC), and dominant energy conditions(DEC) for the considered wormhole. All the suitable stability conditions are analyzed and explained by related plots.

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Study of Traversable Wormhole in the Dark Matter Halo

  • Partha Pratim Nath,
  • Debojit Sarma

摘要

In this work, we have carried out the study of a traversable wormhole in the dark matter halo. We have formulated the exact solution of the spherically symmetric traversable wormhole with isotropic pressure conditions by using the Jaffe dark matter density profile. The Jaffe profile produces a suitable shape function that meets all the requirements for presenting the wormhole geometries. We have investigated all the necessary energy conditions viz., null energy condition(NEC), weak energy condition(WEC), strong energy condition(SEC), and dominant energy conditions(DEC) for the considered wormhole. All the suitable stability conditions are analyzed and explained by related plots.