Asymptotic flatness required for traversable wormholes?

From: Adam Getchell (agetchell_at_physics.ucdavis.edu)
Date: 06/22/04 

Date: Tue, 22 Jun 2004 18:04:40 +0000 (UTC)

Hi all,

I've been looking over Vissers's book [1], the original Morris-Thorne
paper [2], plus some recent results [3], [4], [5], and [6]. Visser
states that asymptotic flatness is required for a traversable wormhole,
but is that true for all wormholes, or just the MT type?

Krasnikov doesn't use the asymptotic flatness condition, but does invoke
"increasing flatness" and "increasingly empty space".

At first glance at Makarenko's paper on braneworld wormholes, asymptotic
flatness still seems to be required from the form of the metric.

Am I misunderstanding this?

Thanks for any insight into the matter.

[1] "Lorentizan Wormholes: From Einstein to Hawking"
[2] Morris and Thorne, Am J Phy. 56, 395, 1988
[3] Kuhfittig, http://arxiv.org/PS_cache/gr-qc/pdf/0401/0401048.pdf
[4] Makarenko, http://www.arxiv.org/PS_cache/gr-qc/pdf/0402/0402067.pdf
[5] Krasnikov, http://www.arxiv.org/PS_cache/gr-qc/pdf/0003/0003092.pdf
[6] Krasnikov, http://www.arxiv.org/PS_cache/gr-qc/pdf/9909/9909016.pdf