Year: 1996
Type: article
Abstract: When the Penrose–Goldberg (PG) superpotential is used to compute the angular momentum of an axial symmetry, the Killing potential Qμν(φ) for that symmetry is needed. Killing potentials used in the PG superpotential must satisfy Penrose’s equation. It is proved for the Schwarzschild and Kerr solutions that the Penrose equation does not admit a Qμν(φ) at finite r and therefore the PG superpotential can only be used to compute angular momentum asymptotically.
Source: Journal of Mathematical Physics
DOI: 10.1063/1.531398
Author: E. N. Glass
Institution: University of Michigan
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W1987071253