No-hair theorems in analogue models for gravity

Author(s)

Guilherme Andretta Faustino

• Document type: Master's Dissertation
• Press: Campinas, SP.
• Institution: Universidade Estadual de Campinas (UNICAMP). Instituto de Física Gleb Wataghin
• Defense date: 2018-10-09

Examining board members

Alberto Vazquez Saa; Raphael Santarelli; Rafael Luiz da Silva Rabelo

• Advisor: Alberto Vazquez Saa

Abstract

The present work contains a brief review of the main analogue models for gravity in hydrodynamics and Bose-Einstein condensates (particularly the systems governed by the Gross-Pitaevskii equation). We give special emphasis to the uniqueness results for the black hole analog configurations in Bose-Einstein condensates, which, in principle, can be considered analogs for the so called No-Hair theorems in General Relativity. A particular case of the Gross-Pitaevskii equation with an interaction term proportional to the 5th power of the wave function is treated in detail, and some stable, assintotically homogeneous solutions with horizions are explicitly contructed. Those solutions can be interpreted as Black Hole analogs for which there exist uniqueness results similar to the No-Hair teorems in General Relativity (AU)

• FAPESP's process: 14/26359-8 - Analog models of gravity in hydrodynamics
• Grantee: Guilherme Andretta Faustino
• Support Opportunities: Scholarships in Brazil - Master