The CWKB Method of Particle Production Near Chronology Horizon

TL;DR

This paper uses the complex time WKB method to analyze massless scalar particle production near a chronology horizon, finding finite particle numbers at horizon formation, consistent with previous studies.

Contribution

It applies the CWKB method to model particle production near a chronology horizon, confirming finite particle counts and aligning with earlier results by Sushkov.

Findings

Particle production features resemble those in time-dependent curved backgrounds.

Total particle number remains finite at the formation of the chronology horizon.

Results agree with previous findings by Sushkov.

Abstract

In this paper we investigate the phenomenon of particle production of massles scalar field, in a model of spacetime where the chronology horizon could be formrd, using the method of complex time WKB approximation (CWKB). For the purpose, we take two examples in a model of spacetime, one already discussed by Sushkov, to show that the mode of particle production near chronology horizon possesses the similar characteristic features as are found while discussing particle production in time dependent curved background. We get identical results as that obtained by Sushkov in this direction. We find, in both the examples studied, that the total number of particles remain finite at the moment of the formation of the chronology horizon.