Null surfaces formulation in three dimensions

DOI10.1063/1.533422zbMath0977.83061arXivgr-qc/0005120OpenAlexW1998850147MaRDI QIDQ2738128

Mirta S. Iriondo, Diego M. Forni, Carlos N. Kozameh

Publication date: 30 August 2001

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

Full work available at URL: https://arxiv.org/abs/gr-qc/0005120

zbMATH Keywords

2+1 dimensional gravitynull surface formulation of general relativity

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Analogues of general relativity in lower dimensions (83C80)

Related Items

Solutions for the null-surface formulation in \(2+1\) dimensions leading to spacetimes of Petrov types i, II, and D, Three-variable solution in the \((2+1)\)-dimensional null-surface formulation, Understanding singularities in Cartan’s and null surface formulation geometric structures, 2-geometries and the Hamilton–Jacobi equation, 3-geometries and the Hamilton–Jacobi equation, Solution for the null-surface formulation of general relativity in 2+1 dimensions, Analogue gravity, Two-dimensional Riemannian and Lorentzian geometries from second-order ODE’s, The Einstein-Vlasov system/kinetic theory, Petrov type-N solution for the null-surface formulation in \(2+1\) dimensions, Quantum gravity in \(2+1\) dimensions: the case of a closed universe

Cites Work

• Conformal Einstein spaces
• Theory of light cone cuts of null infinity
• Null surfaces and the Bach equations
• Large Quantum Gravity Effects: Unforeseen Limitations of the Classical Theory
• The Eikonal equation in flat space: Null surfaces and their singularities. I
• Lorentzian metrics from characteristic surfaces
• GR via characteristic surfaces
• Linearized Einstein theory via null surfaces