TY - JOUR A1 - Pfäffle, Frank A1 - Stephan, Christoph A. T1 - On gravity, torsion and the spectral action principle T2 - Journal of functional analysis N2 - 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. KW - Orthogonal connections with torsion KW - Spectral triples KW - Commutative geometries KW - Chamseddine-Connes spectral action Y1 - 2012 UR - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/36132 SN - 0022-1236 VL - 262 IS - 4 SP - 1529 EP - 1565 PB - Elsevier CY - San Diego ER -