Symmetry analysis of the Klein–Gordon equation in Bianchi I spacetimes

DOI10.1142/S0219887815500334zbMath1315.83018arXiv1411.0398MaRDI QIDQ5247567

Andronikos Paliathanasis, M. Tahir Mustafa, Michael Tsamparlis

Publication date: 24 April 2015

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

Full work available at URL: https://arxiv.org/abs/1411.0398

zbMATH Keywords

invariant solutionsLie symmetriesKlein-GordonBianchi

Mathematics Subject Classification ID

Wave equation (35L05) Applications of differential geometry to physics (53Z05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) PDEs in connection with relativity and gravitational theory (35Q75) Exact solutions to problems in general relativity and gravitational theory (83C15) Local Lie groups (22E05)

Related Items

Potential functions admitted by well-known spherically symmetric static spacetimes, Group invariant transformations for the Klein-Gordon equation in three dimensional flat spaces, Lie symmetries and similarity solutions for a family of 1+1 fifth-order partial differential equations, Symmetries and generalized higher order conserved vectors of the wave equation on Bianchi I spacetime, Lie and Noether point symmetries for a class of nonautonomous dynamical systems, A group theoretical application of \(\mathrm{SO}(4,1)\) in the de Sitter universe, Classification of the Lie and Noether point symmetries for the wave and the Klein-Gordon equations in pp-wave spacetimes, Lie symmetries for systems of evolution equations, Exact solution of the Einstein-Skyrme model in a Kantowski-Sachs spacetime, A study of energy conditions in non-static spherically symmetric spacetimes via Noether symmetries, Variational contact symmetries of constrained Lagrangians, Closed-form solutions of the Wheeler-DeWitt equation in a scalar-vector field cosmological model by Lie symmetries, Energy Conditions and Conservation Laws in LRS Bianchi Type I Spacetimes via Noether Symmetries, Positive energy condition and conservation laws in Kantowski-Sachs spacetime via Noether symmetries, Bicharacteristics and Fourier integral operators in Kasner spacetime

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