Title:  SemiClassical Black Hole Holography 
Author:  
Advisor:  Lárus Thorlacius 
Date:  202009 
Language:  English 
University/Institute:  Háskóli Íslands University of Iceland 
School:  Verkfræði og náttúruvísindasvið (HÍ) School of Engineering and Natural Sciences (UI) 
Department:  Raunvísindadeild (HÍ) Faculty of Physical Sciences (UI) 
ISBN:  9789935945297 
Subject:  Black hole; Holography; Semiclassical; Quantum; Page curve; Quantum complexity; CGHS; RST; Black hole evaporation; Dilaton gravity; Gravity; Stretched horizon; Black hole complementarity; Entanglement entropy; Svarthol (stjörnufræði); Skammtafræði; Þyngdarafl; Stjarneðlisfræði; Doktorsritgerðir 
URI:  https://hdl.handle.net/20.500.11815/2066 
Abstract:This thesis discusses two aspects of semiclassical black holes.
First, a recently improved semiclassical formula for the entanglement entropy of black hole radiation is examined. This entropy is an indicator of information loss and determines whether black hole evaporation is an information preserving process or destroys quantum information. Assuming information conservation, Page expressed the entanglement entropy as a function of time, which is referred to as the ``Page curve.'' Using the improved formula for evaporating black hole solutions of a gravitational
model introduced by Callan, Giddings, Harvey and Strominger (CGHS) and modified by
Russo, Susskind and Thorlacius (RST), we find that the entanglement entropy follows the Page curve and thus is consistent with unitary evolution.
Second, the notion of quantum complexity is explored in the context of black
holes. The quantum complexity of a quantum state measures how many ``simple operations'' are required to create that state. Susskind conjectured that the quantum complexity of a black hole state corresponds to a certain volume inside the black hole. A modified conjecture equates the quantum complexity with the gravitational action evaluated for a certain region of spacetime which intersects the black hole interior. We test the complexity conjectures for semiclassical black hole solutions in the CGHS/RST model and find that both conjectures yield the expected behavior.
