Principal equatorial null geodesic congruences in the Kerr metric, and their quantum propagators

2024/03/01 by Trujillo, Josué G. Mateos, Socolovsky, Miguel
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc)

paper · doi:10.48550/arxiv.2403.02351

Abstract

Using the Raychaudhuri equation, we associate quantum probability amplitudes (propagators) to equatorial principal ingoing and outgoing null geodesic congruences in the Kerr metric. The expansion scalars diverge at the ring singularity; however, the propagators remain finite, which is an indication that at the quantum level singularities might disappear or, at least, become softened.

Related

• Wavy way to the Kerr metric and the quantum nature of its ring singularity
• Raychaudhuri and optical equations for null geodesic congruences with torsion
• Analogue of Null Geodesic in Quantum Spacetime
• Effective Kerr geometry from loop quantum gravity
• Looking through the Kerr disk