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In this paper, we aim to examine the relationship between the unstable circular photon orbit and the thermodynamic phase transition for a rotating Kerr-AdS black hole. On one side, we give a brief review of the phase transition for the…

General Relativity and Quantum Cosmology · Physics 2019-02-20 Shao-Wen Wei , Yu-Xiao Liu , Yong-Qiang Wang

In this paper, we extend the study of the relationship between the photon sphere and the thermodynamic phase transition, especially the reentrant phase transition, to this black hole background. According to the number of the thermodynamic…

General Relativity and Quantum Cosmology · Physics 2019-12-24 Yu-Meng Xu , Hui-Min Wang , Yu-Xiao Liu , Shao-Wen Wei

A photon sphere is known as the geometrical structure shaping a black hole shadow. The mechanism is well understood for static or stationary black hole spacetimes such as the Schwarzschild and the Kerr spacetimes. In this paper, we…

General Relativity and Quantum Cosmology · Physics 2022-05-25 Yasutaka Koga , Nobuyuki Asaka , Masashi Kimura , Kazumasa Okabayashi

This paper discusses the thermodynamics of a black hole with respect to Hawking radiation and the entropy. We look at a unified picture of black hole entropy and curvature and how this can lead to the usual black hole luminosity due to…

Cosmology and Nongalactic Astrophysics · Physics 2010-02-17 C Sivaram , Kenath Arun

We study the thermodynamics of a shell of self-gravitating radiation, bounded by two spherical surfaces. This system provides a consistent model for a gravitating thermal reservoir for different solutions to vacuum Einstein equations in the…

General Relativity and Quantum Cosmology · Physics 2021-09-22 Demetrios Kotopoulis , Charis Anastopoulos

Considering a nonlinear charged black hole as a thermodynamics system, we study the geometric description of its phase transitions. Using the formalism of geometrothermodynamics we show that the geometry of the space of thermodynamic…

Mathematical Physics · Physics 2014-04-28 Gustavo Arciniega , Alberto Sánchez

The relation between the black hole shadow and the black hole thermodynamics is investigated. We find that the phase structure can be reflected by the shadow radius for the spherically symmetric black hole. We also find that the shadow size…

General Relativity and Quantum Cosmology · Physics 2020-08-28 Ming Zhang , Minyong Guo

The discovery in the early 1970s that black holes radiate as black bodies has radically affected our understanding of general relativity, and offered us some early hints about the nature of quantum gravity. In this chapter I will review the…

General Relativity and Quantum Cosmology · Physics 2015-08-27 S. Carlip

We have derived the differential equation governing the evolution of the photon sphere for dynamical black hole spacetimes with or without spherical symmetry. Numerical solution of the same depicting evolution of the photon sphere has been…

General Relativity and Quantum Cosmology · Physics 2019-06-05 Akash K Mishra , Sumanta Chakraborty , Sudipta Sarkar

Recent observations of black hole shadows have revolutionized our ability to probe gravity in extreme environments. This manuscript presents a novel analytic method to calculate, in leading-order terms, the key parameters of photon sphere…

General Relativity and Quantum Cosmology · Physics 2024-06-04 Vitalii Vertogradov , Ali Övgün

The present paper is aimed to study thermodynamical properties of phase transition for regular charged black holes. In this context, we have considered two different forms of black hole metrics supplemented with exponential and logistic…

General Relativity and Quantum Cosmology · Physics 2018-05-30 Wajiha Javed , Z. Yousaf , Zunaira Akhtar

In this work, we probe the well known thermodynamic phase structure of black hole through the lens of its quasi-periodic oscillations (QPOs). Can QPOs be influenced by black hole phase transitions? Do they carry any signature of such…

General Relativity and Quantum Cosmology · Physics 2026-05-25 Bidyut Hazarika , Prabwal Phukon

We study the relationship between the null geodesics and thermodynamic phase transition for the charged AdS black hole. In the reduced parameter space, we find that there exist non-monotonic behaviors of the photon sphere radius and the…

General Relativity and Quantum Cosmology · Physics 2018-05-23 Shao-Wen Wei , Yu-Xiao Liu

We consider a class of static and spherically symmetric black hole geometries endowed with a photon sphere. On the one hand, we show that close to the photon sphere, a massless scalar field theory exhibits a simple dynamical…

General Relativity and Quantum Cosmology · Physics 2022-03-24 Bernard Raffaelli

In this work, we treat black holes as bifurcation points and explore their thermodynamic phase structure using the framework of bifurcation theory which is a commonly used method from nonlinear dynamics. By constructing an appropriate…

General Relativity and Quantum Cosmology · Physics 2025-09-10 Bidyut Hazarika , Prabwal Phukon

We probe the phase structure of the regular AdS black holes using the null geodesics. The radius of photon orbit and minimum impact parameter shows a non-monotonous behaviour below the critical values of the temperature and the pressure,…

General Relativity and Quantum Cosmology · Physics 2020-11-04 A. Naveena Kumara , C. L. Ahmed Rizwan , Shreyas Punacha , Ajith K. M. , Md Sabir Ali

The radius of the circular orbit for the time-like or light-like test particle in a background of general spherically symmetric spacetime is viewed as a characterized quantity for the thermodynamic phase transition of the corresponding…

High Energy Physics - Theory · Physics 2019-04-03 Ming Zhang , Shan-Zhong Han , Jie Jiang , Wen-Biao Liu

We investigate the relations between the black hole shadow and charged AdS black hole critical behaviour in the extended phase space. Using the thermo-shadow formalism built-in [1], we reveal that the shadow radius can be considered as an…

General Relativity and Quantum Cosmology · Physics 2020-10-07 A. Belhaj , L. Chakhchi , H. El Moumni , J. Khalloufi , K. Masmar

We study the thermodynamics of the Ay\'{o}n-Beato-Garc\'{i}a black hole and the relationship between photon orbits and the thermodynamic phase transitions of the black hole in AdS spacetime. We then examine the interactions between the…

General Relativity and Quantum Cosmology · Physics 2025-10-08 Kartheek Hegde , A. Naveena Kumara , C. L. Ahmed Rizwan , Md Sabir Ali , Shreyas Punacha , K. M. Ajith

One of the major open problems in theoretical physics is a consistent quantum gravity theory.Recent developments in thermodynamic phase transitions ofblack holes and their van der Waals-like behavior may provide an interesting quantum…

General Relativity and Quantum Cosmology · Physics 2020-06-26 Seyed Hossein Hendi , Shahram Panahiyan , Behzad Eslam Panah , Mubasher Jamil
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