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TMF, 2023 Volume 214, Number 1, Pages 122–139 (Mi tmf10309)

Gateway-like absurdly benign traversable wormhole solutions

A. K. Mehta

Indian Institute of Science Education and Research, Pune, India

Abstract: A class of wormhole solutions is constructed that has restricted polar degrees of freedom to achieve a gateway-like configuration. This compels the use of distribution-valued metrics and connections, which further compels the use of neutrix product of distributions, to define distribution-valued curvature, the Einstein tensor, and other relevant quantities. Th solution requires a space–time with non-Riemannian effects like nonmetricity to be consistent and well defined, due to the nonassociativity of the neutrix product. Finally, the ideal gateway configuration where the negative energy requirement is zero is derived.

Keywords: wormholes, non-Riemannian geometry, hyperfluids, general relativity, distributional neutrix products.

Received: 06.05.2022
Revised: 08.09.2022

DOI: 10.4213/tmf10309


 English version:
Theoretical and Mathematical Physics, 2023, 214:1, 106–120

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© Steklov Math. Inst. of RAS, 2024