English

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

General Relativity and Quantum Cosmology 2009-05-29 v3

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 Λ\Lambda to be space variable, viz., Λ=Λ(r)\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.

Keywords

Cite

@article{arxiv.0804.3848,
  title  = {Can electro-magnetic field, anisotropic source and varying $\Lambda$ be sufficient to produce wormhole spacetime ?},
  author = {F. Rahaman and M. Kalam and K. A. Rahman},
  journal= {arXiv preprint arXiv:0804.3848},
  year   = {2009}
}

Comments

Some changes have been made

R2 v1 2026-06-21T10:34:08.680Z