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28 March 2024
 
  » arxiv » hep-th/0406026

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Gauged Gravity via Spectral Asymptotics of non-Laplace type Operators
Ivan G. Avramidi ;
Date 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
AbstractWe 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
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