On Gravity, Torsion and the Spectral Action Principle

Details On Gravity, Torsion and the Spectral Action Principle On Gravity, Torsion and the Spectral Action Principle

2011-01-07

arxiv.org/abs/1101.1424v3

Physics

Mathematical Physics

minor modifications, some further typos fixed

Scientific paper

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.

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