Sine-Gordon soliton as a model for Hawking radiation of moving black holes and quantum soliton evaporation

Abstract

The intriguing connection between black holes' evaporation and physics of solitons is opening novel roads to finding observable phenomena. It is known from the inverse scattering transform that velocity is a fundamental parameter in solitons theory. Taking this into account, the study of Haw\-king radiation by a moving soliton gets a growing relevance. However, a theoretical context for the description of this phenomenon is still lacking. Here, we adopt a soliton geometrization technique to study the quantum emission of a moving soliton in a one-dimensional model. Representing a black hole by the one soliton solution of the sine-Gordon equation, we consider Haw\-king emission spectra of a quantized massless scalar field on the soliton-induced metric. We study the relation between the soliton velocity and the black hole temperature. Our results address a new scenario in the detection of new physics in the quantum gravity panorama.

arXiv comment8 pages, 4 figures

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Cited by in corpus (8)

• On the Topological Nature of the Hawking Temperature of Black Holes
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• Supratransmission-induced travelling breathers in long Josephson junctions
• ac-locking of thermally-induced sine-Gordon breathers
• Quantum Decay of an Optical Soliton
• Universal quantum Hawking evaporation of integrable two-dimensional solitons
• Solitons in a class of interacting scalar field theories without $SO(2)$ invariance
• Isoperimetric deformations of curves on the Minkowski plane