Killing Tensors and Symmetries

Abstract

A new method is presented for finding Killing tensors in spacetimes with symmetries. The method is used to find all the Killing tensors of Melvin's magnetic universe and the Schwarzschild vacuum. We show that they are all trivial. The method requires less computation than solving the full Killing tensor equations directly, and it can be used even when the spacetime is not algebraically special.

to appear in Class. Quantum Grav (new citation added)

Cited by in corpus (8)

• Killing-Yano tensors and some applications
• Killing tensors and photon surfaces in foliated spacetimes
• Slice-reducible conformal Killing tensors, photon surfaces and shadows
• First integrals of holonomic systems without Noether symmetries
• Quadratic first integrals of autonomous conservative dynamical systems
• Integrable and Superintegrable Potentials of 2d Autonomous Conservative Dynamical Systems
• Carter-like constants of motion in the Newtonian and relativistic two-center problems
• Killing-Yano tensors in spaces admitting a hypersurface orthogonal Killing vector