Classification of a modified de Sitter metric by variational symmetries and conservation laws

DOI10.1142/S0219887817501821zbMath1456.58011OpenAlexW2747503072WikidataQ125563197 ScholiaQ125563197MaRDI QIDQ4599448

B. B. I. Gadjagboui, Abdul Hamid Kara, Aroonkumar Beesham

Publication date: 2 January 2018

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

Full work available at URL: https://doi.org/10.1142/s0219887817501821

zbMATH Keywords

invarianceconservation lawsvariational symmetriesmodified de Sitter metric

Mathematics Subject Classification ID

Invariance and symmetry properties for PDEs on manifolds (58J70) Group actions and symmetry properties (58D19) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

Cites Work

• Unnamed Item
• Unnamed Item
• Classification of static spherically symmetric spacetimes by Noether symmetries
• The geometric nature of Lie and Noether symmetries
• Lie and Noether symmetries of geodesic equations and collineations
• Lie-Bäcklund and Noether symmetries with applications
• Lie and Noether counting theorems for one-dimensional systems
• Bianchi type-I universe with cosmological constant and quadratic equation of state in \(f(R, T)\) modified gravity
• THE LINEAR SYMTRIES OF A NONLINEAR DIFFERENTIAL EQUATION
• Preliminary group classification of equations v t t=f (x,v x)v x x+g(x,v x)
• Symmetry-invariant conservation laws of partial differential equations
• Direct construction method for conservation laws of partial differential equations Part I: Examples of conservation law classifications
• Direct construction method for conservation laws of partial differential equations Part II: General treatment
• Continuous and Discrete Homotopy Operators and the Computation of Conservation Laws
• The geometry and invariance properties for certain classes of metrics with neutral signature
• Symmetry-based algorithms to relate partial differential equations: II. Linearization by nonlocal symmetries
• Lie algebras associated with scalar second-order ordinary differential equations