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Dualized gravity beyond linear approximation Wani, Salman S.; Tsun, Tsou S.; Faizal, Mir
Abstract
We will construct a loop space formalism for general relativity, and construct the Polyakov variables as connections for such a loop space. We will use these Polyakov variables to construct a dual theory of gravity beyond linear approximation. It will be demonstrated that this loop space duality reduces to the Hodge duality for linearized gravity. Furthermore, a loop space curvature will be constructed from this Polyakov variable. It will be shown that this loop space curvature vanishes in the absence of topological defects, and so it can be used to investigate gravitational monopoles. We will also construct the suitable monopole charge for such gravitational monopoles.
Item Metadata
Title |
Dualized gravity beyond linear approximation
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Creator | |
Publisher |
Springer Berlin Heidelberg
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Date Issued |
2022-08-27
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Description |
We will construct a loop space formalism for general relativity, and construct the Polyakov variables as connections for such a loop space. We will use these Polyakov variables to construct a dual theory of gravity beyond linear approximation. It will be demonstrated that this loop space duality reduces to the Hodge duality for linearized gravity. Furthermore, a loop space curvature will be constructed from this Polyakov variable. It will be shown that this loop space curvature vanishes in the absence of topological defects, and so it can be used to investigate gravitational monopoles. We will also construct the suitable monopole charge for such gravitational monopoles.
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Genre | |
Type | |
Language |
eng
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Date Available |
2023-05-01
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution 4.0 International (CC BY 4.0)
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DOI |
10.14288/1.0431517
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URI | |
Affiliation | |
Citation |
The European Physical Journal C. 2022 Aug 27;82(8):751
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Publisher DOI |
10.1140/epjc/s10052-022-10550-3
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Peer Review Status |
Reviewed
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Scholarly Level |
Faculty; Researcher
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Copyright Holder |
The Author(s)
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution 4.0 International (CC BY 4.0)