An analysis of Page Curve and the Information Paradox

Abstract

We study the various versions of holographic entanglement entropy formula that has come out over time. This starts with the Ryu-Takayangi formula which later modified to the HRT prescription and then the FLM prescription which gave quantum corrections and finally the method of finding a quantum extremal surface to calculate the entanglement entropy. Then we look at entanglement wedge reconstruction and its application to an evaporating black hole in AdS as done in the work of Penington. Using there was an attempt to find a Page curve for it and this calculation implies that the graph of entropy versus time will turn around as expected in the case of information being preserved during the black hole evaporation. At the end we also see that these results match with the work done by Hayden and Preskill to find the time required for any information to come out of the black hole in an information preserving model.