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Gauged Gravity via Spectral Asymptotics of non-Laplace type Operators

Ivan G. Avramidi
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Abstract

We construct invariant differential operators acting on sections of vector bundles of densities over a smooth manifold without using a Riemannian metric. The spectral invariants of such operators are invariant under both the diffeomorphisms and the gauge transformations and can be used to induce a new theory of gravitation. It can be viewed as a matrix generalization of Einstein general relativity that reproduces the standard Einstein theory in the weak deformation limit. Relations with various mathematical constructions such as Finsler geometry and Hodge-de Rham theory are discussed.

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BibTeXRIS

Ivan G. Avramidi. 2004-07-15. Gauged Gravity via Spectral Asymptotics of non-Laplace type Operators. https://doi.org/10.1088/1126-6708%2F2004%2F07%2F030

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