Hawking radiation in the interaction region of the colliding plane gravitational waves with linear polarization

Abstract

There exist some of the extension to the colliding plane gravitational waves (CPWs) of the soliton solution of Ferrari and Ibanez. However, no one gives the corresponding conditions for each extension. And as the development of Hawking radiation in recent decades, we know that the Hawking radiation can be explored as long as the event horizon exists. So we regard Hawking radiation as a constraint to the extension of the metric in the interaction region of CPWs. In this paper, we take this situation into account, and we have found three interesting conclusions. First, the event horizon will disappear in the course of time. Second, the metric of the interaction region will evolve into a new metric which is a spherical shell of null matter. If parameter b is less than 2/3, this process can construct a new model which slightly different to fireworks model. Third, the new model can be seen as a particle for a distant observer.