Relativity and Cosmology

    

Traversable Wormholes in Anti-de Sitter Spacetime Without Exotic Matter: A Classical Solution Satisfying The Null Energy Condition

Authors: K. Mubaidin, H. Manougian, Y. Singh

We present a novel static, spherically symmetric traversable wormhole solution to the Einstein Field equations in the presence of a negative cosmological constant ($Lambda < 0$). Our solution does not include a redshift function and a shape function $b(r)=frac{r^2_0}{r}$ embedded in an Anti-de Sitter, (textit{ADS}), background. Through embedding the cosmological constant into the geometry, we show that the resulting spacetime satisfies $NEC$, Null Energy Condition, everywhere. This solution avoids the need for exotic matter. This solution suggests a possible classical, non-exotic mechanism for wormhole stabilization and uses a geometric interpretation to dark matter effects. The implications of this result are explored in the context of relativistic astrophysics and potential observability near galactic centers

Comments: 8 Pages.

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[v1] 2025-07-23 22:30:32

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