Morris-Thorne wormholes with a cosmological constant

By J. Lemos, Francisco S. N. Lobo, S. Q. Oliveira. 2003

256 citations recorded by the source corpus.

First, the ideas introduced in the wormhole research field since the work of Morris and Thorne are reviewed, namely, the issues of energy conditions, wormhole construction, stability, time machines and astrophysical signatures. Then, spherically symmetric and static traversable Morris-Thorne wormholes in the presence of a generic cosmological constant $\ensuremath{\Lambda}$ are analyzed. A matching of an interior solution to the unique exterior vacuum solution is done using directly the Einstein equations. The structure as well as several physical properties and characteristics of traversable wormholes due to the effects of the cosmological term are studied. Interesting equations appear in the process of matching. For instance, one finds that for asymptotically flat and anti\char21{}de Sitter spacetimes the surface tangential pressure $\mathcal{P}$ of the thin shell, at the boundary of the interior and exterior solutions, is always strictly positive, whereas for de Sitter spacetime it can take either sign as one would expect, being negative (tension) for relatively high $\ensuremath{\Lambda}$ and high wormhole radius, positive for relatively high mass and small wormhole radius, and zero in between. Finally, some specific solutions with $\ensuremath{\Lambda},$ based on the Morris-Thorne solutions, are provided.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/a2958a9f181de92eaf15fcb4c4737fc85e33473e

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Citations in the corpus

Stability of phantom wormholes (2005, methodology): “[22], we shall model these spacetimes by matching an interior traversable wormhole geometry with an exterior Schwarzschild vacuum solution at a junction interface [26, 27, 28, 29].”
Analytical general solutions for static wormholes in f(R,T) gravity (2016, methodology): “have investigated Morris-Thorne WHs in the presence of a cosmological constant [58].”
Stability analysis of dynamic thin shells (2005, background): “Stability analysis of dynamic thin shells 3 constructed by matching an interior traversable wormhole solution to exterior vacuum spacetimes at a junction interface [23, 24, 25, 26].”
Linearized stability analysis of thin-shell wormholes with a cosmological constant (2003, background): “The qualitative behaviour of p0 is similar to the surface pressure/tension for the thin shells considered in [25].”
Phantom energy traversable wormholes (2005, background): “In particular, a thin shell around a traversable wormhole, with a zero surface energy density was analyzed in [59], and with generic surface stresses in [58].”
Exotic solutions in General Relativity: Traversable wormholes and 'warp drive' spacetimes (2007, background): “In particular, a thin shell around a traversable wormhole, with a zero surface energy density was analyzed in [91], and with generic surface stresses in [92].”