Symmetry analysis and some exact solutions of cylindrically symmetric null fields in general relativity

DOI10.1016/j.cnsns.2011.03.006zbMath1223.83019OpenAlexW2054998320MaRDI QIDQ635692

Juan-Miguel Gracia

Publication date: 23 August 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2011.03.006

zbMATH Keywords

exact solutionssymmetry analysiscylindrically symmetric space-time

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Gravitational energy and conservation laws; groups of motions (83C40) Exact solutions to problems in general relativity and gravitational theory (83C15) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (12)

Some Solutions of Generalised Variable Coefficients KdV Equation by Classical Lie Approach ⋮ Einstein's vacuum field equation: Painlevé analysis and Lie symmetries ⋮ Modified (G′∕G)-expansion method for finding exact wave solutions of the coupled Klein-Gordon-Schrödinger equation ⋮ Exact solutions for nonlinear evolution equations using novel test function ⋮ Painlevé analysis and invariant solutions of Vakhnenko-Parkes (VP) equation with power law nonlinearity ⋮ Similarity reductions and exact solutions of generalized Bretherton equation with time-dependent coefficients ⋮ Painlevé analysis, Lie symmetries and exact solutions for \((2+1)\)-dimensional variable coefficients Broer-Kaup equations ⋮ Kawahara equation and modified Kawahara equation with time dependent coefficients: symmetry analysis and generalized ‐expansion method ⋮ Time fractional (2+1)-dimensional Wu-Zhang system: dispersion analysis, similarity reductions, conservation laws, and exact solutions ⋮ On group classification and nonlocal conservation laws for a multiphase flow model ⋮ Dispersion analysis and improved F-expansion method for space-time fractional differential equations ⋮ On symmetries and conservation laws of Einstein-Maxwell equations for non-static cylindrical symmetric metric

Cites Work

• Unnamed Item
• Unnamed Item
• On certain classes of exact solutions of Einstein equations for rotating fields in conventional and nonconventional form
• Exact solutions of a variant Boussinesq system
• Lie symmetries and exact solutions of a new generalized Hirota-Satsuma coupled KdV system with variable coefficients
• Isovector fields and similarity solutions of Einstein vacuum equations for rotating fields
• Direct search for exact solutions to the nonlinear Schrödinger equation
• Similarity methods for differential equations
• Symmetry and integration methods for differential equations
• New exact solutions of the Einstein vacuum equations for rotating axially symmetric fields
• Generalized similarity solutions for the type D fluid in five-dimensional flat space
• Exact Solutions of Einstein's Field Equations
• Classical and Nonclassical Symmetries of a Generalized Boussinesq Equation
• Lie symmetry analysis and some new exact solutions of the Wu–Zhang equation

This page was built for publication: Symmetry analysis and some exact solutions of cylindrically symmetric null fields in general relativity