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 Hawking 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 Hawking 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.
Highlights
During the last ten years, analogue gravity systems have attracted major interest in the scientific community [1]
We study the relation between the soliton velocity and the black hole temperature
Our paper is organized as follows: in section 2 we review the geometrization of the SG model; we show the connection between a soliton solution of an AKNS system and a metric on a two dimensional surface
Summary
Leone Di Mauro Villari, Giulia Marcucci2,3 , Maria Chiara Braidotti and Claudio Conti. Any further distribution of The intriguing connection between black holes’ evaporation and physics of solitons is opening novel this work must maintain roads to finding observable phenomena. It is known from the inverse scattering transform that attribution to the author(s) and the title of velocity is a fundamental parameter in solitons theory. Taking this into account, the study of Hawking the work, journal citation and DOI. We adopt a soliton geometrization technique to study the quantum emission of a moving soliton in a one-dimensional model.
Sign-in/Register to view highlights & summary 
Published Version (
Free)
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call