Characteristic classes in general relativity on a modified Poincaré curvature bundle

DOI10.1063/1.4990708zbMath1376.83009arXiv1706.01328OpenAlexW2624535106MaRDI QIDQ5366986

Yoshimasa Kurihara

Publication date: 10 October 2017

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.01328

zbMATH Keywords

characteristic classescosmological constantgeneral relativityEinstein-Hilbert actionspace-time manifoldssecond Chern-classmodified Poincaré curvature bundletrace of an energy-momentum tensor

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Kaluza-Klein and other higher-dimensional theories (83E15) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Riemann-Roch theorems, Chern characters (19L10)

Related Items (2)

Symplectic structure for general relativity and Einstein–Brillouin–Keller quantization ⋮ Bundle geometry of the connection space, covariant Hamiltonian formalism, the problem of boundaries in gauge theories, and the dressing field method

Cites Work

• \(2+1\)-dimensional gravity as an exactly soluble system
• Chern–Simons forms in gravitation theories
• Lorentz Invariance and the Gravitational Field
• Integral Formalism for Gauge Fields
• The Einstein Tensor and Its Generalizations
• Kinematics and World-Structure
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