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View Full Version : [SOLVED] Asymptotic flatness required for traversable wormholes?


Adam Getchell
Jun22-04, 01:04 PM
<jabberwocky><div class="vbmenu_control"><a href="jabberwocky:;" onClick="newWindow=window.open('','usenetCode','toolbar=no, location=no,scrollbars=yes,resizable=yes,status=no ,width=650,height=400'); newWindow.document.write('<HTML><HEAD><TITLE>Usenet ASCII</TITLE></HEAD><BODY topmargin=0 leftmargin=0 BGCOLOR=#F1F1F1><table border=0 width=625><td bgcolor=midnightblue><font color=#F1F1F1>This Usenet message\'s original ASCII form: </font></td></tr><tr><td width=449><br><br><font face=courier><UL><PRE>Hi all,\n\nI\'ve been looking over Vissers\'s book [1], the original Morris-Thorne\npaper [2], plus some recent results [3], [4], [5], and [6]. Visser\nstates that asymptotic flatness is required for a traversable wormhole,\nbut is that true for all wormholes, or just the MT type?\n\nKrasnikov doesn\'t use the asymptotic flatness condition, but does invoke\n"increasing flatness" and "increasingly empty space".\n\nAt first glance at Makarenko\'s paper on braneworld wormholes, asymptotic\nflatness still seems to be required from the form of the metric.\n\nAm I misunderstanding this?\n\nThanks for any insight into the matter.\n\n[1] "Lorentizan Wormholes: From Einstein to Hawking"\n[2] Morris and Thorne, Am J Phy. 56, 395, 1988\n[3] Kuhfittig, http://arxiv.org/PS_cache/gr-qc/pdf/0401/0401048.pdf\n[4] Makarenko, http://www.arxiv.org/PS_cache/gr-qc/pdf/0402/0402067.pdf\n[5] Krasnikov, http://www.arxiv.org/PS_cache/gr-qc/pdf/0003/0003092.pdf\n[6] Krasnikov, http://www.arxiv.org/PS_cache/gr-qc/pdf/9909/9909016.pdf\n\n</UL></PRE></font></td></tr></table></BODY><HTML>');"> <IMG SRC=/images/buttons/ip.gif BORDER=0 ALIGN=CENTER ALT="View this Usenet post in original ASCII form">&nbsp;&nbsp;View this Usenet post in original ASCII form </a></div><P></jabberwocky>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