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arXiv · 2511.15539

Asymmetric noncommutative torus has vanishing Einstein tensor

Deeponjit Bose·Andrzej Sitarz
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Abstract

We explicitly compute the spectral metric, torsion and Einstein tensors for a nontrivial spectral triple on a noncommutative torus, with the Dirac operator related to the fully equivariant Dirac by a partial conformal rescaling (as introduced in [1]). The results show that the spectral triple has vanishing torsion and the Einstein tensor also identically vanishes.

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Deeponjit Bose, Andrzej Sitarz. 2025-11-19. Asymmetric noncommutative torus has vanishing Einstein tensor. https://arxiv.org/abs/2511.15539

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