Abstract
Black hole, as an outstanding prediction of Einstein gravity, is one of the most fascinating and mysterious compact subjects. This prediction is confirmed by observational data (1; 2). In addition, one of the remarkable achievements of theoretical physics is related to the discovery of a profound connection between the laws of black hole mechanics with the corresponding laws of ordinary thermodynamic systems (3; 5; 4). On the other hand, the study of black hole thermodynamics in an anti-de Sitter (AdS) space provides remarkable holographic inputs in our efforts to understand the quantum nature of gravity (6; 7; 8).In the context of AdS spacetimes, Hawking-Page phase transition(9) has already shown the existence of novel physics connecting black holes and finite temperature confirmal field theories(8), together with their interesting phase transition structure (10; 11). More recently, exciting developments are taking place due to the emergence of concrete relation between AdS black holes and van der Waals liquid-gas system (
Highlights
Over the last few decades, several remarkable connections have emerged relating gravity, thermodynamics and quantum physics
They are not so idiosyncratic as they are governed by laws of black hole mechanics similar to the laws of thermodynamics, where: entropy, temperature and energy are related to area of the horizon, surface gravity and mass of the system, respectively [3,4,5]
Anti de Sitter spacetime provides a novel setting to study black holes as the thermodynamics and phase transitions can be investigated in a controlled setting due to the presence of cosmological constant
Summary
Over the last few decades, several remarkable connections have emerged relating gravity, thermodynamics and quantum physics. Anti de Sitter spacetime provides a novel setting to study black holes as the thermodynamics and phase transitions can be investigated in a controlled setting due to the presence of cosmological constant.
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