Characterizing the $2$-Killing vector fields on multiply twisted product spacetimes

TL;DR

This paper characterizes 2-Killing vector fields on multiply twisted product spacetimes by deriving differential equations, providing solutions, and constructing examples to deepen understanding of their geometric properties.

Contribution

It introduces a complete characterization of 2-Killing vector fields on multiply twisted product manifolds, including differential equations, solutions, and explicit examples.

Findings

Derived nonlinear differential equations for 2-Killing vector fields

Provided particular solutions to these equations

Constructed explicit examples of such vector fields

Abstract

We characterize the $2$-Killing vector fields on a multiply twisted product manifold, with a special view towards generalized spacetimes. More precisely, we determine the nonlinear differential equations that completely describe them and the twisted functions, give particular solutions, and construct examples.