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...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2013
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| Online Access: | https://hdl.handle.net/10356/100376 http://hdl.handle.net/10220/16285 |
| _version_ | 1826118678350921728 |
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| author | Saw, Vee-Liem Chew, Lock Yue |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Saw, Vee-Liem Chew, Lock Yue |
| author_sort | Saw, Vee-Liem |
| collection | NTU |
| 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. |
| first_indexed | 2024-10-01T04:47:24Z |
| format | Journal Article |
| id | ntu-10356/100376 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T04:47:24Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | ntu-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. |
| spellingShingle | Saw, Vee-Liem Chew, Lock Yue A general method for constructing curved traversable wormholes in (2+1)-dimensional spacetime |
| title | 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_short | 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 |
| url | https://hdl.handle.net/10356/100376 http://hdl.handle.net/10220/16285 |
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