Curved traversable wormholes in (3+1)-dimensional spacetime
We present the general method of constructing curved traversable wormholes in (3+1)-d spacetime and proceed to thoroughly discuss the physics of a zero tidal force metric without cross-terms. The (3+1)-d solution is compared with the recently studied lower-dimensional counterpart, where we identify...
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| Format: | Journal Article |
| Language: | English |
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2014
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| Online Access: | https://hdl.handle.net/10356/101723 http://hdl.handle.net/10220/24213 |
| _version_ | 1826127537786322944 |
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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 present the general method of constructing curved traversable wormholes in (3+1)-d spacetime and proceed to thoroughly discuss the physics of a zero tidal force metric without cross-terms. The (3+1)-d solution is compared with the recently studied lower-dimensional counterpart, where we identify that the much richer physics—involving pressures and shear forces of the mass-energy fluid supporting the former—is attributed to the mixing of all three spatial coordinates. Our (3+1)-d universe is the lowest dimension where such nontrivial terms appear. An explicit example, the static zero tidal force (3+1)-d catenary wormhole is analysed and we show the existence of a geodesic through it supported locally by non-exotic matter, similar to the (2+1)-d version. A key difference is that positive mass-energy is used to support the entire (3+1)-d catenary wormhole, though violation of the null energy condition in certain regions is inevitable. This general approach of first constructing the geometry of the spacetime and then using the field equations to determine the physics to support it has the potential to discover new solutions in general relativity or to generalise existing ones. For instance, the metric of a time-evolving inflationary wormhole with a conformal factor can actually be geometrically constructed using our method. |
| first_indexed | 2024-10-01T07:10:11Z |
| format | Journal Article |
| id | ntu-10356/101723 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T07:10:11Z |
| publishDate | 2014 |
| record_format | dspace |
| spelling | ntu-10356/1017232023-02-28T19:23:08Z Curved traversable wormholes in (3+1)-dimensional spacetime Saw, Vee-Liem Chew, Lock Yue School of Physical and Mathematical Sciences DRNTU::Science::Physics::Weights and measures We present the general method of constructing curved traversable wormholes in (3+1)-d spacetime and proceed to thoroughly discuss the physics of a zero tidal force metric without cross-terms. The (3+1)-d solution is compared with the recently studied lower-dimensional counterpart, where we identify that the much richer physics—involving pressures and shear forces of the mass-energy fluid supporting the former—is attributed to the mixing of all three spatial coordinates. Our (3+1)-d universe is the lowest dimension where such nontrivial terms appear. An explicit example, the static zero tidal force (3+1)-d catenary wormhole is analysed and we show the existence of a geodesic through it supported locally by non-exotic matter, similar to the (2+1)-d version. A key difference is that positive mass-energy is used to support the entire (3+1)-d catenary wormhole, though violation of the null energy condition in certain regions is inevitable. This general approach of first constructing the geometry of the spacetime and then using the field equations to determine the physics to support it has the potential to discover new solutions in general relativity or to generalise existing ones. For instance, the metric of a time-evolving inflationary wormhole with a conformal factor can actually be geometrically constructed using our method. Accepted version 2014-11-10T09:24:06Z 2019-12-06T20:43:22Z 2014-11-10T09:24:06Z 2019-12-06T20:43:22Z 2014 2014 Journal Article Saw, V.-L., & Chew, L. Y. (2014). Curved traversable wormholes in (3+1)-dimensional spacetime. General relativity and gravitation, 46(2), 1655-. 0001-7701 https://hdl.handle.net/10356/101723 http://hdl.handle.net/10220/24213 10.1007/s10714-013-1655-1 en General relativity and gravitation © 2014 Springer Science+Business Media New York. This is the author created version of a work that has been peer reviewed and accepted for publication by General Relativity and Gravitation, Springer Science+Business Media New York. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [DOI:http://dx.doi.org/10.1007/s10714-013-1655-1]. 33 p. application/pdf |
| spellingShingle | DRNTU::Science::Physics::Weights and measures Saw, Vee-Liem Chew, Lock Yue Curved traversable wormholes in (3+1)-dimensional spacetime |
| title | Curved traversable wormholes in (3+1)-dimensional spacetime |
| title_full | Curved traversable wormholes in (3+1)-dimensional spacetime |
| title_fullStr | Curved traversable wormholes in (3+1)-dimensional spacetime |
| title_full_unstemmed | Curved traversable wormholes in (3+1)-dimensional spacetime |
| title_short | Curved traversable wormholes in (3+1)-dimensional spacetime |
| title_sort | curved traversable wormholes in 3 1 dimensional spacetime |
| topic | DRNTU::Science::Physics::Weights and measures |
| url | https://hdl.handle.net/10356/101723 http://hdl.handle.net/10220/24213 |
| work_keys_str_mv | AT sawveeliem curvedtraversablewormholesin31dimensionalspacetime AT chewlockyue curvedtraversablewormholesin31dimensionalspacetime |