The Einstein-Hilbert action for perturbed second-order spectral triples
K-Theory and Homology
2025-07-09 v1 Differential Geometry
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.
Keywords
Cite
@article{arxiv.2507.05855,
title = {The Einstein-Hilbert action for perturbed second-order spectral triples},
author = {Tong Wu and Yong Wang},
journal= {arXiv preprint arXiv:2507.05855},
year = {2025}
}