Slowly evolving noncommutative-geometry wormholes

preprint2021arXivOpen access

Abstract

This paper discusses noncommutative-geometry wormholes in the context of a cosmological model due to Sung-Won Kim. An ansatz suggested by the Friedmann-Lemaitre-Robertson-Walker (FLRW) model leads to the assumption that the matter content can be divided into two parts, a cosmological part depending only on time and a wormhole part depending only on space. These assumptions are sufficient for deriving a complete zero-tidal force wormhole solution. The wormhole is evolving due to the scale factor in the FLRW model; it is restricted, however, to the curvature parameters k=0k=0 and k=−1k=-1. Unlike previous models, the noncommutative-geometry background affects both the wormhole part and the cosmological part of the solution.

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