A generalized Lichnerowicz formula, the Wodzicki residue and gravity

DOI10.1016/0393-0440(95)00030-5zbMath0865.58005arXivhep-th/9503152OpenAlexW2087581190MaRDI QIDQ1919291

Jürgen Tolksdorf, Thomas Ackermann

Publication date: 18 September 1996

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9503152

zbMATH Keywords

gravityDirac operatornoncommutative differential geometry

Mathematics Subject Classification ID

Noncommutative topology (46L85) Noncommutative differential geometry (46L87) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05)

Related Items (8)

The Einstein–Hilbert–Yang–Mills–Higgs action and the Dirac–Yukawa operator ⋮ A Kastler-Kalau-Walze type theorem for 7-dimensional spin manifolds with boundary about Dirac operators with torsion ⋮ Dirac operators with torsion, spectral Einstein functionals and the noncommutative residue ⋮ Dirac operators with torsion and the noncommutative residue for manifolds with boundary ⋮ Classical gravity on fuzzy space-time ⋮ A Kastler-Kalau-Walze type theorem and the spectral action for perturbations of Dirac operators on manifolds with boundary ⋮ Quantum space–time and classical gravity ⋮ A Kastler–Kalau–Walze type theorem for five-dimensional manifolds with boundary

Cites Work

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• The Dirac operator and gravitation
• Gravity, non-commutative geometry and the Wodzicki residue
• A DETAILED ACCOUNT OF ALAIN CONNES' VERSION OF THE STANDARD MODEL IN NON-COMMUTATIVE GEOMETRY: I AND II.
• Particle models and noncommutative geometry

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