The Einstein-Hilbert action for perturbed second-order spectral triples
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866916832372326400 |
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| author | Wu, Tong Wang, Yong |
| author_facet | Wu, Tong Wang, Yong |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_05855 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Einstein-Hilbert action for perturbed second-order spectral triples Wu, Tong Wang, Yong K-Theory and Homology Differential Geometry 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. |
| title | The Einstein-Hilbert action for perturbed second-order spectral triples |
| topic | K-Theory and Homology Differential Geometry |
| url | https://arxiv.org/abs/2507.05855 |