Harmonic analysis of linear fields on the nilgeometric cosmological model

DOI10.1063/1.1811373zbMath1064.83011arXivgr-qc/0402058OpenAlexW3100495201MaRDI QIDQ3024157

Masayuki Tanimoto

Publication date: 30 June 2005

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

Full work available at URL: https://arxiv.org/abs/gr-qc/0402058

Mathematics Subject Classification ID

Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20)

Related Items (2)

Theorems on existence and global dynamics for the Einstein equations ⋮ Dynamics of solutions of the Einstein equations with twisted Gowdy symmetry

Cites Work

• The dynamical degrees of freedom in spatially homogeneous cosmology
• A class of homogeneous cosmological models
• The reduced Einstein equations and the conformal volume collapse of 3-manifolds
• Dynamics of compact homogeneous universes
• Stability of a Schwarzschild Singularity
• Tensor harmonics on the 3-sphere
• Compact homogeneous universes
• Hamiltonian structures for compact homogeneous universes
• Perturbations of spatially closed Bianchi III spacetimes
• The Geometries of 3-Manifolds
• Empty space-times admitting a three parameter group of motions
• On long-time evolution in general relativity and geometrization of 3-manifolds

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