On gravity, torsion and the spectral action principle
- 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.
Author details: | Frank Pfäffle, Christoph A. Stephan |
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DOI: | https://doi.org/10.1016/j.jfa.2011.11.013 |
ISSN: | 0022-1236 |
Title of parent work (English): | Journal of functional analysis |
Publisher: | Elsevier |
Place of publishing: | San Diego |
Publication type: | Article |
Language: | English |
Year of first publication: | 2012 |
Publication year: | 2012 |
Release date: | 2017/03/26 |
Tag: | Chamseddine-Connes spectral action; Commutative geometries; Orthogonal connections with torsion; Spectral triples |
Volume: | 262 |
Issue: | 4 |
Number of pages: | 37 |
First page: | 1529 |
Last Page: | 1565 |
Funding institution: | Deutsche Forschungsgemeinschaft; SFB Raum-Zeit-Materie |
Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
Peer review: | Referiert |