A general method for constructing curved traversable wormholes in (2+1)-dimensional spacetime

We develop a general method for constructing curved traversable wormholes in (2+1)-dimensional spacetime, by generating surfaces of revolution around smooth curves. Application of this method to a straight line gives the usual spherically symmetric wormholes. The physics behind (2+1)-d curved traver...

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Main Authors: Saw, Vee-Liem, Chew, Lock Yue
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2013
Online Access:https://hdl.handle.net/10356/100376
http://hdl.handle.net/10220/16285
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1003762020-03-07T12:34:51Z A general method for constructing curved traversable wormholes in (2+1)-dimensional spacetime Saw, Vee-Liem Chew, Lock Yue School of Physical and Mathematical Sciences We develop a general method for constructing curved traversable wormholes in (2+1)-dimensional spacetime, by generating surfaces of revolution around smooth curves. Application of this method to a straight line gives the usual spherically symmetric wormholes. The physics behind (2+1)-d curved traversable wormholes is discussed based on solutions to the Einstein field equations when the tidal force is zero. The Einstein field equations are found to reduce to one equation whereby the mass-energy density varies linearly with the Ricci scalar, which signifies that our (2+1)-d curved traversable wormholes are supported by dust of ordinary and exotic matter without radial tension nor lateral pressure. With this, two examples of (2+1)-d curved traversable wormholes: the helical wormhole and the catenary wormhole, are constructed and we show that there exist geodesics through them supported by non-exotic matter. This general method is applicable to our (3+1)-d spacetime. 2013-10-04T07:35:37Z 2019-12-06T20:21:25Z 2013-10-04T07:35:37Z 2019-12-06T20:21:25Z 2012 2012 Journal Article Saw, V.-L., & Chew, L. Y. (2012). A general method for constructing curved traversable wormholes in (2+1)-dimensional spacetime. General Relativity and Gravitation, 44(12), 2989-3007. https://hdl.handle.net/10356/100376 http://hdl.handle.net/10220/16285 10.1007/s10714-012-1435-3 en General relativity and gravitation © 2012 Springer Science+Business, LLC.
institution Nanyang Technological University
building NTU Library
country Singapore
collection DR-NTU
language English
description We develop a general method for constructing curved traversable wormholes in (2+1)-dimensional spacetime, by generating surfaces of revolution around smooth curves. Application of this method to a straight line gives the usual spherically symmetric wormholes. The physics behind (2+1)-d curved traversable wormholes is discussed based on solutions to the Einstein field equations when the tidal force is zero. The Einstein field equations are found to reduce to one equation whereby the mass-energy density varies linearly with the Ricci scalar, which signifies that our (2+1)-d curved traversable wormholes are supported by dust of ordinary and exotic matter without radial tension nor lateral pressure. With this, two examples of (2+1)-d curved traversable wormholes: the helical wormhole and the catenary wormhole, are constructed and we show that there exist geodesics through them supported by non-exotic matter. This general method is applicable to our (3+1)-d spacetime.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Saw, Vee-Liem
Chew, Lock Yue
format Article
author Saw, Vee-Liem
Chew, Lock Yue
spellingShingle Saw, Vee-Liem
Chew, Lock Yue
A general method for constructing curved traversable wormholes in (2+1)-dimensional spacetime
author_sort Saw, Vee-Liem
title A general method for constructing curved traversable wormholes in (2+1)-dimensional spacetime
title_short A general method for constructing curved traversable wormholes in (2+1)-dimensional spacetime
title_full A general method for constructing curved traversable wormholes in (2+1)-dimensional spacetime
title_fullStr A general method for constructing curved traversable wormholes in (2+1)-dimensional spacetime
title_full_unstemmed A general method for constructing curved traversable wormholes in (2+1)-dimensional spacetime
title_sort general method for constructing curved traversable wormholes in (2+1)-dimensional spacetime
publishDate 2013
url https://hdl.handle.net/10356/100376
http://hdl.handle.net/10220/16285
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