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For a static and spherically symmetric black hole, a photon sphere is composed of circular null geodesics of fixed radius, and plays an important role in observing the black hole. Recently, in an Einstein-Maxwell-scalar model with a…

General Relativity and Quantum Cosmology · Physics 2022-06-29 Guangzhou Guo , Peng Wang , Houwen Wu , Haitang Yang

An explicit correspondence is established between the Extended Uncertainty Principle (EUP) and the metric function by directly relating the radiation temperature function modified by EUP to the modified spacetime metric. Utilising this…

General Relativity and Quantum Cosmology · Physics 2026-03-10 Hai-Long Zhen , Jian-Hua Shi , Huai-Fan Li , Yu-Bo Ma

We investigate thermodynamic aspects of black holes in the recently formulated four dimensional Gauss-Bonnet theory of gravity, focusing on its asymptotically de Sitter ($\Lambda>0$) solutions. We take a Euclidean path integral approach,…

General Relativity and Quantum Cosmology · Physics 2021-12-01 Gareth Arturo Marks , Fil Simovic , Robert B. Mann

The Hawking temperature for the Schwarzschild black hole is divergent when the mass of the black hole vanishes; however the corresponding geometry becomes the Minkowski spacetime whose intrinsic temperature is zero. In connection with this…

General Relativity and Quantum Cosmology · Physics 2015-03-05 Myungseok Eune , Yongwan Gim , Wontae Kim

We give a brief review on the formation and the calculation of black hole shadow. Firstly, we introduce the conception of black hole shadow and the current works on a variety of black hole shadows. Secondly, we present main methods of…

General Relativity and Quantum Cosmology · Physics 2022-10-11 Mingzhi Wang , Songbai Chen , Jiliang Jing

The thermodynamical properties of toroidal black holes in the grand canonical ensemble are investigated using York's formalism. The black hole is enclosed in a cavity with finite radius where the temperature and electrostatic potential are…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Claudia S. Peça , José P. S. Lemos

We purpose an approach for the thermodynamic analysis of rotating and non-linear magnetic-charged black hole with quintessence. Accordingly, we compute various thermodynamics quantities of the black hole, such as mass, temperature,…

General Relativity and Quantum Cosmology · Physics 2019-12-02 Ragil Tsafack Ndongmo , Saleh Mahamat , Thomas Bouetou Bouetou , Timoleon Crepin Kofane

Following earlier study regarding Einstein-Gauss-Bonnet-massive black holes in the presence of Born-Infeld nonlinear electromagnetic field [S. H. Hendi, B. Eslam Panah and S. Panahiyan, arXiv:1510.00108], we study thermodynamical structure…

General Relativity and Quantum Cosmology · Physics 2017-01-18 Seyed Hossein Hendi , Gu-Qiang Li , Jie-Xiong Mo , Shahram Panahiyan , Behzad Eslam Panah

An important phase transition in black hole thermodynamics is associated with the divergence of the specific heat with fixed charge and angular momenta, yet one can demonstrate that neither Ruppeiner's entropy metric nor Weinhold's energy…

High Energy Physics - Theory · Physics 2010-12-17 Haishan Liu , H. Lu , Mingxing Luo , Kai-Nan Shao

We use the Legendre invariant formalism of geometrothermodynamics to investigate the geometric properties of the equilibrium space of a spherically symmetric phantom black hole with electric charge and dilaton. We find that at certain…

General Relativity and Quantum Cosmology · Physics 2016-08-24 H. Quevedo , M. N. Quevedo , A. Sanchez

Black holes pose great difficulties for theory since gravity and quantum theory must be combined in some as yet unknown way. An additional difficulty is that detailed black hole observational data to guide theorists is lacking. In this…

General Relativity and Quantum Cosmology · Physics 2018-08-22 George Ruppeiner

Recent explorations of topological aspects in black hole thermodynamics have achieved unprecedented progress. By utilizing topological numbers, different black hole systems can be categorized into distinct universality classes. This…

General Relativity and Quantum Cosmology · Physics 2026-05-04 Shao-Wen Wei , Yu-Xiao Liu

Photon spheres, surfaces where massless particles are confined in closed orbits, are expected to be common astrophysical structures surrounding ultracompact objects. In this paper a semiclassical treatment of a photon sphere is proposed. We…

General Relativity and Quantum Cosmology · Physics 2014-11-24 M. C. Baldiotti , Walace S. Elias , C. Molina , Thiago S. Pereira

Black holes have been a subject of investigation over years not only because they have interesting physical properties, but also because they seem to be the appropriate tool for studying gravity in quantum scale. Although a lot of effort…

General Relativity and Quantum Cosmology · Physics 2020-12-09 Joao Chakrian , Antonio de Padua Santos

In this paper we investigate the shadow and energy emission rate of a charged AdS black hole in massive gravity. We develop a new prescription based on maximum frequencies of emission spectrum to probe the thermodynamics of black holes and…

General Relativity and Quantum Cosmology · Physics 2025-03-18 Mohamed Chabab , Samir Iraoui , Hicham Sriba

The thermodynamic inconsistency observed in regular black holes is resolved through the framework of reduced thermodynamic phase spaces. We demonstrate that regular black holes are essentially induced from singular black holes by adding an…

General Relativity and Quantum Cosmology · Physics 2025-10-15 Meng-Sen Ma , Huai-Fan Li , Jian-Hua Shi

A coarse-grained version of the effective action is used to study the thermodynamics of black holes, interpolating from largest to smallest masses. The physical parameter of the black hole are linked to the running couplings by…

General Relativity and Quantum Cosmology · Physics 2014-04-23 Kevin Falls , Daniel F. Litim

The thermal balance between the black hole and surrounding thermal radiation is an interesting topic. The primordial black hole is a type of black hole formed in the early universe, especially during the thermal radiation period of the…

General Relativity and Quantum Cosmology · Physics 2021-12-02 Ruifeng Zheng

It is known that static and spherically symmetric black hole solutions of general relativity in different spacetimes can be embedded into higher dimensional flat spacetime. Given this result, we have explored the thermodynamic nature of…

General Relativity and Quantum Cosmology · Physics 2019-10-29 T. R. Govindarajan , Sumanta Chakraborty

In this work, we attempt to explore a possible connection between thermodynamic topology and the thermodynamic geometry formulation of black hole thermodynamics. We study the topological structure of black hole thermodynamic phase spaces by…

High Energy Physics - Theory · Physics 2025-07-22 Bidyut Hazarika , Prabwal Phukon
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