Angular Momentum and Killing Potentials

E. N. Glass

doi:10.1063/1.531398

Angular Momentum and Killing Potentials

广义相对论与量子宇宙学 2009-10-28 v1

作者: E. N. Glass

在 arXiv 上查看 ↗ PDF ↗ DOI ↗

摘要

When the Penrose-Goldberg (PG) superpotential is used to compute the angular momentum of an axial symmetry, the Killing potential $Q_{(\varphi )}^{\mu\nu}$ 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 $%Q_{(\varphi )}^{\mu\nu}$ at finite r and therefore the PG superpotential can only be used to compute angular momentum asymptotically.

引用

@article{arxiv.gr-qc/9511025,
  title  = {Angular Momentum and Killing Potentials},
  author = {E. N. Glass},
  journal= {arXiv preprint arXiv:gr-qc/9511025},
  year   = {2009}
}

备注

Revtex, 16 pages, to appear in J. Math. Phys

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