A group theoretical application of \(\mathrm{SO}(4,1)\) in the de Sitter universe
From MaRDI portal
Publication:1699938
DOI10.1007/s10714-017-2253-4zbMath1381.83066OpenAlexW2625358887MaRDI QIDQ1699938
Publication date: 26 February 2018
Published in: General Relativity and Gravitation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10714-017-2253-4
Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Relativistic cosmology (83F05) Black holes (83C57) Lie algebras of Lie groups (22E60) PDEs in connection with relativity and gravitational theory (35Q75)
Related Items (14)
Potential functions admitted by well-known spherically symmetric static spacetimes ⋮ \(n^{\text{th}}\)-order approximate Lagrangians induced by perturbative geometries ⋮ On the formulaic solution of a \((n+1)\)th order differential equation ⋮ Invariant solutions of fractional-order spatio-temporal partial differential equations ⋮ Unnamed Item ⋮ Noether symmetries for a class of static plane symmetric solutions in f(T) gravity ⋮ Singularity analysis and analytic solutions for the Benney-Gjevik equations ⋮ Perturbative manifolds and the Noether generators of \(n\)th-order Poisson equations ⋮ Lie symmetries for systems of evolution equations ⋮ Approximate Noether symmetries and collineations for regular perturbative Lagrangians ⋮ Proper projective symmetry in LRS Bianchi type V spacetimes ⋮ A note on proper homothetic vector fields in plane symmetric perfect fluid static spacetimes in f(R, T) theory of gravity ⋮ Approximate conditions admitted by classes of the Lagrangian \(\mathcal{L} = \frac{1}{2}(- u^{\prime 2} + u^2) + \epsilon^i g_i(u, u^\prime, u)\) ⋮ Moving front solutions of a time-fractional power-law fluid under gravity
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The geometric nature of Lie and Noether symmetries
- Fundamental solutions for the Klein-Gordon equation in de Sitter spacetime
- Conformal symmetries of spherical spacetimes
- Special conformal groups of a Riemannian manifold and Lie point symmetries of the nonlinear Poisson equation
- Group invariant transformations for the Klein-Gordon equation in three dimensional flat spaces
- Potentials and point symmetries of Klein–Gordon equations in space-time homogenous Gödel-type metrics
- General solution and classification of conformal motions in static spherical spacetimes
- Conformal motions in static spherical spacetimes
- Symmetry analysis of the Klein–Gordon equation in Bianchi I spacetimes
- The geometric origin of Lie point symmetries of the Schrödinger and the Klein–Gordon equations
- Curvature Collineations: A Fundamental Symmetry Property of the Space-Times of General Relativity Defined by the Vanishing Lie Derivative of the Riemann Curvature Tensor
This page was built for publication: A group theoretical application of \(\mathrm{SO}(4,1)\) in the de Sitter universe
