Searching for higher-dimensional wormholes with noncommutative geometry
Farook RahamanDepartment of Mathematics, Jadavpur University, Kolkata 700032, West Bengal, IndiaSafiqul IslamDepartment of Mathematics, Jadavpur University, Kolkata 700032, West Bengal, IndiaPeter K. F. KuhfittigDepartment of Mathematics, Jadavpur University, Kolkata 700032, West Bengal, IndiaSaibal RayDepartment of Mathematics, Jadavpur University, Kolkata 700032, West Bengal, India
2012en
ABI
Abstract
Noncommutative geometry, an offshoot of string theory, replaces pointlike structures with smeared objects and has recently been extended to higher dimensions. The purpose of this paper is to obtain wormhole solutions with this extended noncommutative geometry as a background. It is found through this investigation that wormhole solutions exist in the usual four, as well as in five dimensions, but they do not exist in higher-dimensional spacetimes.
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