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On the Kerr metric in a synchronous reference frame
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The Kerr metric is considered in a synchronous frame of reference obtained by using proper time and initial conditions for particles that freely move along a certain set of trajectories as coordinates. Modifying these coordinates in a certain way (keeping their interpretation as initial values at large distances), we still have a synchronous frame and the direct analogue of the Lemaitre metric, the singularities of which are exhausted by the physical Kerr singularity (the singularity ring).
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Generalized Lema\^itre time for rotating and charged black holes and its near-horizon properties
The finiteness of the generalized Lemaitre time at a black hole horizon is controlled by the sign of the quantity X=E-omega L or X=E-q phi, which also enforces kinematic censorship.
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