Killing tensors in two-dimensional space-times with applications to cosmology

DOI10.1063/1.529455zbMath0825.53023OpenAlexW2025015528MaRDI QIDQ3991603

Claes Uggla, Kjell Rosquist

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1063/1.529455

zbMATH Keywords

cosmologykilling tensorstwo-dimensional space-tomes

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Applications of differential geometry to physics (53Z05)

Related Items (10)

Nonstandard Separability on the Minkowski Plane ⋮ Energy dependent integrability ⋮ Integrable cosmological potentials ⋮ Two-dimensional metrics admitting precisely one projective vector field ⋮ Quadratic integrals of a multi-scalar cosmological model ⋮ ( 1 + 1 ) -dimensional separation of variables ⋮ Polynomial separable indefinite natural systems ⋮ The classical solutions of two-dimensional gravity ⋮ Third rank Killing tensors in general relativity. The \((1+1)\)-dimensional case ⋮ Normal forms for pseudo-Riemannian 2-dimensional metrics whose geodesic flows admit integrals quadratic in momenta

Cites Work

• A review of the geometrical equivalence of metrics in general relativity
• A class of homogeneous cosmological models
• More qualitative cosmology
• New exact solutions for power-law inflation Friedmann models
• Inflation from extra dimensions
• Killing tensor conservation laws and their generators
• Separable coordinate systems for the Hamilton-Jacobi, Klein-Gordon and wave equations in curved spaces
• Extended dynamics and symmetries in vacuum Bianchi cosmologies
• Extended dynamics and symmetries in perfect fluid Bianchi cosmologies
• Empty space-times admitting a three parameter group of motions

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