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arXiv · 2507.05855

The Einstein-Hilbert action for perturbed second-order spectral triples

Tong Wu·Yong Wang
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Abstract

In [6], the higher-order spectral triple and its relative K-homology were studied. Motivated by the Kastler-Kalau-Walze theorem, we propose an extension of the Einstein-Hilbert action to the framework of higher-order spectral triples. To illustrate this construction, we introduce two second-order spectral triples and explicitly compute their respective Einstein-Hilbert action, demonstrating the applicability of our theoretical framework.

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Tong Wu, Yong Wang. 2025-07-08. The Einstein-Hilbert action for perturbed second-order spectral triples. https://arxiv.org/abs/2507.05855

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