On Gravity, Torsion and the Spectral Action Principle

2011/01/07 by Frank Pfaeffle, Pfaeffle, Frank, Christoph A. Stephan +1 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Noncommutative and Quantum Gravity Theories #Geometric Analysis and Curvature Flows

paper · pdf · doi:10.48550/arxiv.1101.1424

Abstract

We consider compact Riemannian spin manifolds without boundary equipped with orthogonal connections. We investigate the induced Dirac operators and the associated commutative spectral triples. In case of dimension four and totally anti-symmetric torsion we compute the Chamseddine-Connes spectral action, deduce the equations of motions and discuss critical points.

Cited by

• Spectral torsion of the internal noncommutative geometry of the Standard Model
• The noncommutative residue, divergence theorems and the spectral geometry functional

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