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arXiv · 1007.1797

A Note on the Einstein-Hilbert action and the Dirac operator on R^n

U. Battisti·S. Coriasco
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Abstract

We prove an extension to R^n, endowed with a suitable metric, of the relation between the Einstein-Hilbert action and the Dirac operator which holds on closed spin manifolds. By means of complex powers, we first define the regularised Wodzicki Residue for a class of operators globally defined on R^n. The result is then obtained by using the properties of heat kernels and generalised Laplacians.

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U. Battisti, S. Coriasco. 2011-01-28. A Note on the Einstein-Hilbert action and the Dirac operator on R^n. https://doi.org/10.1007/s11868-011-0031-8

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