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A new form of the Kerr solution
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A new form of the Kerr solution
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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.
Forward citations
Cited by 2 Pith papers
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Classical limit for Dirac fermions with modified action in the presence of the black hole
A covariant model of Dirac fermions with an extra Planck-derived term yields the same Einstein-equation collapse as ordinary GR yet permits numerical trajectories that escape the black hole.
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Inside astronomically realistic black holes
Schwarzschild singularities are surfaces with diverging Hawking radiation while accreting Kerr black holes undergo Poisson-Israel inflation followed by BKL oscillatory collapse to a spacelike singularity.
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