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

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.

12 pages

References in corpus (3)

• Generalized Robertson-Walker space times, a survey
• Sequential Warped Products: Curvature and Killing Vector Fields
• $2-$Killing Vector Fields on Warped Product Manifolds

Cited by in corpus (1)

• Some properties of hyperbolic Yamabe solitons