On the Kerr metric in a synchronous reference frame

Abstract

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).

9 pages, 1 figure

References in corpus (3)

• The Kerr spacetime: A brief introduction
• Schwarzschild and Kerr Solutions of Einstein's Field Equation -- an introduction
• Unit-lapse versions of the Kerr spacetime

Cited by in corpus (2)

• On the discrete version of the Kerr geometry
• Generalized Lemaître time for rotating and charged black holes and its near-horizon properties