Potential functions admitted by well-known spherically symmetric static spacetimes

DOI10.1016/S0034-4877(18)30037-5zbMath1402.22020OpenAlexW2801598974MaRDI QIDQ1626304

Sameerah Jamal, Ghulam Shabbir

Publication date: 27 November 2018

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(18)30037-5

zbMATH Keywords

Klein-Gordon equationpotential functionsLie symmetry

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Lie algebras of Lie groups (22E60) PDEs in connection with relativity and gravitational theory (35Q75) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

Related Items (8)

A note on classification of locally rotationally symmetric Bianchi type I space–times via conformal vector fields in f(T,B) gravity ⋮ Noether symmetries for a class of static plane symmetric solutions in f(T) gravity ⋮ A note on proper conformal vector fields of Bianchi type-I perfect fluid space-times in f(R,T) gravity ⋮ Classification of proper non-static cylindrically symmetric perfect fluid space-times via conformal vector fields in f(R) gravity ⋮ Conformal vector fields of some vacuum classes of static spherically symmetric space-times in f(T,B) gravity ⋮ Classification of static spherically symmetric perfect fluid space-times via conformal vector fields in f(T) gravity ⋮ A note on some Bianchi type II spacetimes and their conformal vector fields in f(R) theory of gravity ⋮ A note on classification of spatially homogeneous rotating space-times in f(R) theory of gravity according to their proper conformal vector fields

Cites Work

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• Classification of static spherically symmetric spacetimes by Noether symmetries
• The geometric nature of Lie and Noether symmetries
• Fundamental solutions for the Klein-Gordon equation in de Sitter spacetime
• Hidden symmetries and decay for the wave equation on the Kerr spacetime
• Decay and non-decay of the local energy for the wave equation on the De Sitter-Schwarzschild metric
• A group theoretical application of \(\mathrm{SO}(4,1)\) in the de Sitter universe
• Group invariant transformations for the Klein-Gordon equation in three dimensional flat spaces
• The Cauchy problem for the wave equation in the Schwarzschild geometry
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
• Symmetry analysis of the Klein–Gordon equation in Bianchi I spacetimes
• Curvature Collineations: A Fundamental Symmetry Property of the Space-Times of General Relativity Defined by the Vanishing Lie Derivative of the Riemann Curvature Tensor

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