In this paper we establish the definition of the Lie derivative of a second rank tensor in the
context of teleparallel theory of gravity and also extend it for a general tensor of rank p+ q …

This paper is devoted to investigate Noether symmetries of Bianchi type II spacetimes. We
use the reduced involutive form of the determining equations to classify their possible …

A new method is presented for the determination of Ricci Collineations (RC) and Matter
Collineations (MC) of a given spacetime, in the cases where the Ricci tensor and the energy …

Ricci collineations of the Bianchi types I and III, and Kantowski–Sachs spacetimes are
classified according to their Ricci collineation vector (RCV) field of the form (i)–(iv) one …

Over the past few years there has been much interest in the classification of solutions of the
Einstein field equations in terms of their isometries. These isometries are given by Killing …

A complete classification of cylindrically symmetric static Lorentzian manifolds according to
their Ricci collineations (RCs) is provided. The Lie algebras of RCs for the non-degenerate …

Ricci and contracted Ricci collineations of the Bianchi type II, VIII, and IX space-times,
associated with the vector fields of the form (i) one component of ξ a (xb) is different from …

In General Relativity GR there exists a large body of literature on classification of space–
times according to their isometries or Killing vectors KVs, and the groups admitted by them. 1 …

Static plane symmetric space-times are classified according to their Ricci collineations
(RCs). Their relation with isometries of the space-times is established. Unlike the spherically …

The matter collineation classifications of Kantowski-Sachs, Bianchi types I and III space
times are studied according to their degenerate and non-degenerate energy-momentum …