On Gravity, Torsion and the Spectral Action Principle

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.

minor modifications, some further typos fixed

References in corpus (1)

• Noncommutative Geometry as a Framework for Unification of all Fundamental Interactions including Gravity. Part I

Cited by in corpus (1)

• Torsion, an alternative to dark matter?