Spherical Domain Wall formed by Field Dynamics of Hawking Radiation and Structure Near Horizon

TL;DR

This paper investigates how Hawking radiation can induce a spherical domain wall around a black hole through field dynamics, even at temperatures below the critical phase transition temperature, using a relativistic ballistic model.

Contribution

It demonstrates the formation of a spherical domain wall near the horizon driven by field dynamics, not thermal phase transition, in the gauge-Higgs-Yukawa theory with Hawking radiation.

Findings

Domain wall forms near the horizon at low Hawking temperatures.

Symmetry restoration occurs on the horizon due to Hawking radiation.

Domain wall formation is driven by field dynamics rather than thermal effects.

Abstract

The Hawking radiation in the vacuum of the spontaneous symmetry breaking in the gauge-Higgs-Yukawa theory is investigated by a general relativistic formulation of the the ballistic model. The restoration of the symmetry on the horizon and the formation of the spherical domain wall around the black hole are shown even if the Hawking temperature is lower than the critical temperature of the phase transition in the gauge-Higgs-Yukawa theory. When the Hawking temperature is much lower than the critical temperature, the domain wall closely near the horizon is formed. The wall is formed by the field dynamics rather than the thermal phase transition.