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Gauged Gravity via Spectral Asymptotics of non-Laplace type Operators | Ivan G. Avramidi
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2 Jun 2004 | Journal: | JHEP 0407 (2004) 030 | Subject: | High Energy Physics - Theory; Mathematical Physics; Analysis of PDEs | hep-th gr-qc math-ph math.AP math.MP | 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. | Source: | arXiv, hep-th/0406026 | Services: | Forum | Review | PDF | Favorites |
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