Deeg, Dorothea (2006): Quantum Aspects of Black Holes. Dissertation, LMU München: Fakultät für Physik 

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Abstract
In this thesis we study two quantum aspects of black holes, their entropy and the Hawking effect. First, we present a model for the statistical interpretation of black hole entropy and show that this entropy emerges as a result of missing information about the exact state of the matter from which the black hole was formed. We demonstrate that this idea can be applied to black holes made from both ultrarelativistic and nonrelativistic particles. In the second part we focus our attention on several features of black hole evaporation. We discuss the dependence of the Hawking radiation on the vacuum definition of different observers. It becomes evident that in certain cases the choice of observer has an influence on the particle spectrum. In particular, we study the meaning of the Kruskal vacuum on the horizon. After that we determine the Hawking flux for nonstationary black holes. We find approximate coordinates which are regular on the time dependent horizon and calculate the particle density measured by an observer at infinity. Finally, we derive the response of a particle detector in curved background. In our approach we use the Unruh detector to quantify the spectrum of radiation seen by general observers in Minkowski, Schwarzschild and Vaidya spacetimes. We find that an arbitrarily accelerated detector in flat spacetime registers a particle flux with a temperature proportional to a time dependent acceleration parameter. A detector moving in Schwarzschild spacetime will register a predominantly thermal spectrum with the exact temperature depending on the observer's trajectory. If the detector is located at constant distance from the black hole it measures a shifted temperature which diverges on the horizon. On the other hand, a detector in free fall towards the black hole does not register a thermal particle flux when it crosses the horizon. In this framework corrections to the temperature measured by a detector moving in Vaidya spacetime are obtained as well. We argue that our result also clarifies the role of horizons in black hole radiation.
Dokumententyp:  Dissertation (Dissertation, LMU München) 

Keywords:  black holes, Hawking effect, entropy, detector 
Themengebiete:  500 Naturwissenschaften und Mathematik > 530 Physik
500 Naturwissenschaften und Mathematik 
Fakultäten:  Fakultät für Physik 
Sprache der Hochschulschrift:  Englisch 
Datum der mündlichen Prüfung:  26. Juli 2006 
1. Berichterstatter/in:  Mukhanov, Viatcheslav 
MD5 Prüfsumme der PDFDatei:  ff4a531e9d430199b494c682d8ab7df4 
Signatur der gedruckten Ausgabe:  0001/UMC 15835 
ID Code:  6024 
Eingestellt am:  13. Dec. 2006 
Letzte Änderungen:  19. Jul. 2016 16:21 