= Ingoing Kerr coordinates
{title2=$dv=dt+(r^2+a^2)\,dr/\Delta,\quad d\chi=d\phi+a\,dr/\Delta$}
= Advanced Kerr coordinates
{synonym}
<Ingoing Kerr coordinates> cancel the explicit inverse-$\Delta$ singularities of the <Boyer-Lindquist coordinates> metric. They give a smooth, nondegenerate <Kerr metric> at the future outer horizon when $M>|a|$. Its stationary and axial <Killing vector fields> are $\partial_v$ and $\partial_\chi$. The advanced chart need not cover every horizon branch of the maximal extension.
Back to article page
