טכניון מכון טכנולוגי לישראל
הטכניון מכון טכנולוגי לישראל - בית הספר ללימודי מוסמכים  
M.Sc Thesis
M.Sc StudentShir Eran
SubjectThe Nature of Hawking Radiation and General Curved 2D
Metrics
DepartmentDepartment of Physics
Supervisor Mr. Asher Peres (Deceased)


Abstract

Hawking radiation is a an amazing junction, converging together the three basic platforms of contemporary physics, i.e. quantum mechanics, general relativity and thermodynamics. Our aim, in following through this study, was to gain insight into the essence and nature of Hawking radiation, understand its generic properties and its most general scope. The framework of study was that of generic two-dimensional metrics. In this framework, alternative derivations of Hawking radiation are presented, and a connection is made to effective curved metrics emerging from specific physical systems which reside in a flat Minkowski manifold. The scope of this framework allows us to study physical systems which range from Schwarzschild metric construction to Bose-Einstein condensate in a similar manner. Specifically we study the “dumb hole” or super-sonic nozzle scenario, in which phonon field perturbations in a moving hydrodynamic media experience an effective metric consisting of an horizon. We derive Hawking radiation for the nozzle metric and study its properties.


In addition we review the linkage between Hawking radiation and black hole mechanics, from which guiding rules towards a quantum gravity theory can be inferred. We study the properties of the laws of black hole mechanics and differentiate between theory-specific properties and generic properties of black hole entropy. Using this distinction we come to the conclusion that for any gravity theory possible, there exists an irrevocable correspondence between the Bekenstein temperature appearing in the first law of black hole mechanics and the Hawking temperature