Black Hole Thermodynamics, 2nd Edition

Dear Colleagues,

Black holes are one of the most fascinating objects in nature. They are characterized by the existence of a horizon that casually separates the outer region from its inside. At the classical level, they do not emit anything; however, they can emit radiation with a thermal spectrum once the quantum nature of the matter is considered within the semi-classical approach, which is called Hawking radiation. These objects obey three laws similar to the corresponding thermodynamics ones. However, there is one significant difference: the entropy is now proportional to the area enclosed by its horizon. In contrast, the energy and temperature are related to its mass and the surface gravity at the horizon, respectively. Nowadays, the resemblance of the mechanical law of thermodynamics is a well-established topic. However, the physics behind several processes related to black holes is still a matter of debate, primarily because of the lack of a quantum gravity theory. For example, an open question is whether the information of the collapsing matter that formed the black hole can be extracted later by analyzing its Hawking radiation or whether the information is lost, violating unitarity. The study of the black hole paradox using the entanglement entropy approach, Page curve, and the emergence of Hawking radiation seems to create a fertile arena for resolving the paradox mentioned above. In doing so, the AdS/CFT correspondence came in handy by providing a method in terms of the retrieval mechanism (or island) by which one arrives at a unitary Page curve and a gravitational fine-grained entropy formula for the Hawking radiation. The result indicates that black hole thermodynamics involves several areas of Physics, from quantum field theory to general relativity and information theory. This Special Issue aims to collect well-known results for regular/singular black holes and present the latest improvements/advances concerning black hole thermodynamics.

Prof. Dr. Júlio César Fabris
Prof. Dr. Martín Gustavo Richarte
Guest Editors

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