Toy models of black hole, white hole and wormhole: thermal effects and information loss problem

TL;DR

This paper constructs simplified models of black holes, white holes, and wormholes to analyze thermal radiation and information loss, revealing insights into Hawking radiation, boundary condition effects, and information preservation.

Contribution

It introduces toy models with specific boundary conditions to study thermal effects and information loss in black hole, white hole, and wormhole spacetimes.

Findings

Toy black hole exhibits thermal Hawking radiation.

White hole shows thermal absorption behavior.

Wormhole model indicates no information loss.

Abstract

In this paper, by setting proper boundaries in the Minkowski spacetime, we construct three toy model spacetimes, a toy black hole, a toy white hole, and a toy wormhole. Based on these model spacetimes, we discuss the Hawking radiation and the information loss problem. By counting the number of the field modes inside and outside the horizon, we show the thermal radiation of the toy black hole. We show that the white hole have a thermal absorption. We show that in the whole toy wormhole spacetime, there is no information lost. In addition, we show the black hole radiation and the white hole absorption are independent of the choices of boundary conditions at the singularity. We also show the physical effects caused by two particular boundary conditions.