Wormhole with varying cosmological constant

TL;DR

This paper explores wormhole solutions in a spherically symmetric spacetime where the cosmological constant varies with space, demonstrating that the amount of exotic matter needed can be minimized.

Contribution

It introduces a new class of wormhole solutions with a spatially varying cosmological constant, reducing the requirement for exotic matter compared to previous models.

Findings

Exotic matter can be made arbitrarily small in these solutions.

The model supports wormholes with a space-dependent cosmological constant.

The approach generalizes static wormhole solutions with a variable cosmological term.

Abstract

It has been suggested that the cosmological constant is a variable dynamical quantity. A class of solution has been presented for the spherically symmetric space time describing wormholes by assuming the erstwhile cosmological constant $\Lambda$ to be a space variable scalar, viz., $\Lambda$ = $\Lambda (r) $ . It is shown that the Averaged Null Energy Condition (ANEC) violating exotic matter can be made arbitrarily small.