Some general new Einstein Walker manifolds
Mehdi Nadjafikhah, Mehdi Jafari
TL;DR
This paper applies Lie symmetry group methods to analyze the PDE system defining four-dimensional Einstein Walker manifolds, identifying symmetries, classifying subalgebras, and finding invariant solutions.
Contribution
It introduces a systematic symmetry analysis of Einstein Walker manifolds, providing new classifications and solutions using Lie group techniques.
Findings
Determined the Lie point symmetries of the PDE system
Constructed the optimal system of one-dimensional subalgebras
Derived group-invariant solutions for the Einstein Walker manifolds
Abstract
In this paper, Lie symmetry group method is applied to find the lie point symmetries group of a PDE system that is determined general form of four-dimensional Einstein Walker manifold. Also we will construct the optimal system of one-dimensional Lie subalgebras and investigate some of its group invariant solutions.
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