A TWO-DIMENSIONAL REPRESENTATION OF FOUR-DIMENSIONAL GRAVITATIONAL WAVES

DOI10.1142/S0218271898000176zbMath0946.83005arXivgr-qc/9712034OpenAlexW3102782722MaRDI QIDQ4936983

Hans-Jürgen Schmidt

Publication date: 2 February 2000

Published in: International Journal of Modern Physics D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/9712034

zbMATH Keywords

gravitational waveshidden symmetriesKilling vectorBirkhoff theoremFriedmann universeEinstein-Hilbert Lagrangianplane-symmetric spacetimes

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Analogues of general relativity in lower dimensions (83C80) Applications of local differential geometry to the sciences (53B50) Gravitational waves (83C35)

Related Items (3)

Aspects of solution-generating techniques for space-times with two commuting Killing vectors ⋮ Congruence convergence in pp-wave space-time ⋮ The classical solutions of two-dimensional gravity

Cites Work

• Integrability of multicomponent models in multidimensional cosmology
• Lower-dimensional theories of gravity and gravitational waves
• Reply to Cooperstock and Faraoni
• Einstein tensor and generalizations of Birkhoff's theorem
• On the completeness of the black hole singularity in 2D dilaton theories
• LINEAL GRAVITY WITH DYNAMICAL TORSION
• Scale-invariant gravity in two dimensions
• Euclidean two-dimensional gravity with torsion
• Classical and quantum gravity in dimensions: III. Solutions of arbitrary topology
• Classical and quantum gravity in 1 + 1 dimensions. II: The universal coverings
• Probing quantum gravity through exactly soluble midi-superspaces I
• A Method for Generating Solutions of Einstein's Equations
• A Method for Generating New Solutions of Einstein's Equation. II

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