Can electro-magnetic field, anisotropic source and varying $\Lambda$ be sufficient to produce wormhole spacetime ?

Abstract

It is well known that solutions of general relativity which allow for traversable wormholes require the existence of exotic matter (matter that violates weak or null energy conditions [WEC or NEC]). In this article, we provide a class of exact solution for Einstein-Maxwell field equations describing wormholes assuming the erstwhile cosmological term $\Lambda$ to be space variable, viz., $\Lambda =\Lambda (r)$. The source considered here not only a matter entirely but a sum of matters i.e. anisotropic matter distribution, electromagnetic field and cosmological constant whose effective parts obey all energy conditions out side the wormhole throat. Here violation of energy conditions can be compensated by varying cosmological constant. The important feature of this article is that one can get wormhole structure, at least theoretically, comprising with physically acceptable matters.

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Cited by in corpus (8)

• Noncommutative Wormholes in $f(R)$ Gravity with Lorentzian Distribution
• A new class of stable $(2+1)$ dimensional thin shell wormhole
• Generating functions of wormholes
• Traversable wormhole in logarithmic $f(R)$ gravity by various shape and redshift functions
• Thin-shell wormholes from black holes with dilaton and monopole fields
• Smeared Mass Source Wormholes in Modified $f(R)$ Gravity with the Lorentzian Density Distribution Function
• First-Order Logic Investigation of Relativity Theory with an Emphasis on Accelerated Observers
• Wormholes with varying equation of state parameter