A new form of the Kerr solution

Details A new form of the Kerr solution A new form of the Kerr solution

1999-10-27

arxiv.org/abs/gr-qc/9910099v3

Phys.Rev. D61 (2000) 067503

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, LaTeX, no figures. Corrected and improved version. To appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.61.067503

A new form of the Kerr solution is presented. The solution involves a time coordinate which represents the local proper time for free-falling observers on a set of simple trajectories. Many physical phenomena are particularly clear when related to this time coordinate. The chosen coordinates also ensure that the solution is well behaved at the horizon. The solution is well suited to the tetrad formalism and a convenient null tetrad is presented. The Dirac Hamiltonian in a Kerr background is also given and, for one choice of tetrad, it takes on a simple, Hermitian form.

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