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In this paper, we combine Lovelock gravity with gravity's rainbow to construct Lovelock gravity's rainbow. Considering the Lovelock gravity's rainbow coupled to linear and also nonlinear electromagnetic gauge fields, we present two new…

High Energy Physics - Theory · Physics 2017-02-09 S. H. Hendi , A. Dehghani , Mir Faizal

We study the properties of the space of thermodynamic equilibrium states of the Ba\~nados-Teitelboim-Zanelli (BTZ) black hole in (2+1)-gravity. We use the formalism of geometrothermodynamics to introduce in the space of equilibrium states a…

General Relativity and Quantum Cosmology · Physics 2009-01-21 Hernando Quevedo , Alberto Sanchez

We study the thermodynamic phase transition in the rainbow Schwarzschild black hole where the metric depends on the energy of the test particle. Identifying the black hole temperature with the energy from the modified dispersion relation,…

General Relativity and Quantum Cosmology · Physics 2014-10-03 Yongwan Gim , Wontae Kim

In this note we explore a non-static spacetime in quantum regime in the background of $f(R)$ gravity. The time dependent Vaidya metric which represents the spacetime of a radiating body like star is studied in an energy dependent gravity's…

General Relativity and Quantum Cosmology · Physics 2020-04-22 Prabir Rudra

We consider $f(R)$ gravity theories in the presence of a scalar field minimally coupled to gravity with a self-interacting potential in $(2+1)$-dimensions. Without specifying the form of the $f(R)$ function, we first obtain an exact black…

General Relativity and Quantum Cosmology · Physics 2021-03-31 Thanasis Karakasis , Eleftherios Papantonopoulos , Zi-Yu Tang , Bin Wang

The gravity's rainbow function is derived in terms of a new varying speed of light (VSL) theory that varying velocity of light in the rainbow gravity becomes smaller when the energy of photons increases. In light of the new theory we…

General Relativity and Quantum Cosmology · Physics 2024-12-10 Ying-Jie Zhao , Xiaojie Li , Guang-Rui Yao , Yan-Fang Ji , Nisar Ahmad

In the extended phase space, we investigate the rainbow gravity-corrected thermodynamic phenomena and phase structure of the Schwarzschild black hole surrounded by a spherical cavity. The results show that rainbow gravity has a very…

General Relativity and Quantum Cosmology · Physics 2022-08-30 Zhong-Wen Feng , Xia Zhou , Shi-Qi Zhou , Shu-Zheng Yang

This work employs the minimal geometric deformation decoupling scheme to derive interior stellar solutions in the background of an electrically charged BTZ ansatz as a seed metric in three dimensions. In this respect, we impose two…

General Relativity and Quantum Cosmology · Physics 2026-01-27 Z. Yousaf , Kazuharu Bamba , Mansoor Alshehri , S. Khan , M. Z. Bhatti

We investigate quantum aspects of the three dimensional (BTZ) black holes. The discussions are devoted to two subjects: the thermodynamics of quantum scalar fields and the string theory in the three dimensional black hole backgrounds. We…

High Energy Physics - Theory · Physics 2008-02-03 Yuji Satoh

We study the thermodynamics and the thermodynamic geometries of charged rotating BTZ (CR-BTZ) black holes in (2+1)-gravity. We investigate the thermodynamics of these systems within the context of the Weinhold and Ruppeiner thermodynamic…

General Relativity and Quantum Cosmology · Physics 2015-03-17 M. Akbar , H. Quevedo , K. Saifullah , A. Sanchez , S. Taj

We study the thermodynamics of modified black holes proposed in the context of gravity's rainbow. A notion of intrinsic temperature and entropy for these black holes is introduced. In particular for a specific class of modified…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yi Ling , Xiang Li , Hongbao Zhang

In this work, we investigate black hole (BH) physics in the context of gravity rainbow. We investigate this through rainbow functions that have been proposed by Amelino-Camelia, et el. in [arXiv:0806.0339, hep-th/9605211]. This modification…

High Energy Physics - Theory · Physics 2014-05-26 Ahmed Farag Ali

Motivated by the violation of Lorentz invariancy in quantum gravity, we study black hole solutions in gravity's rainbow in context of Einstein gravity coupled with various models of nonlinear electrodynamics. We regard an energy dependent…

General Relativity and Quantum Cosmology · Physics 2018-10-22 S. H. Hendi , S. Panahiyan , B. Eslam Panah , M. Momennia

Regarding a particular class of pure $F(R)$ gravity in three dimensions, we obtain an analytical rotating Lifshitz-like black hole solution. We first investigate some geometrical properties of the obtained solution that reduces to a charged…

High Energy Physics - Theory · Physics 2023-02-16 Kh. Jafarzade , E. Rezaei , S. H. Hendi

We analyze certain aspects of BTZ black holes in massive theory of gravity. The black hole solution is obtained by using the Vainshtein and dRGT mechanism, which is asymptotically AdS with an electric charge. We study the Hawking radiation…

General Relativity and Quantum Cosmology · Physics 2018-09-05 Sumeet Chougule , Sanjib Dey , Behnam Pourhassan , Mir Faizal

Motivated by high interest in Lorentz invariant massive gravity models known as dRGT massive gravity, we present an exact phantom black hole solution in this theory of gravity and discuss the thermodynamic structure of the black hole in the…

General Relativity and Quantum Cosmology · Physics 2024-02-15 Kh. Jafarzade , B. Eslam Panah , M. E. Rodrigues

In this work, we obtained the black hole solutions in the expansion f(R)-gravitation (R is not regarded as a constant here), and studied their thermodynamics, especially the phase transition and criticality in anti-de Sitter Behavior (AdS)…

General Relativity and Quantum Cosmology · Physics 2022-03-25 Wen-Xiang Chen , Yao-Guang Zheng

The linear relation between the entropy and area of a black hole can be derived from the Heisenberg principle, the energy-momentum dispersion relation of special relativity, and general considerations about black holes. There exist results…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Pablo Galan , Guillermo A. Mena Marugan

The topology of black hole thermodynamics is a fascinating area of study that explores the connections between thermodynamic properties and topological features of black holes. We successfully derive the field equations for…

General Relativity and Quantum Cosmology · Physics 2025-02-25 Yassine Sekhmani , Saeed Noori Gashti , Mohammad Ali S. Afshar , Mohammad Reza Alipour , Jafar Sadeghi , Behnam Pourhassan , Javlon Rayimbaev

Previous studies have shown that an Unruh-DeWitt (UDW) detector, when coupled linearly to a massless scalar field and permitted to fall radially into certain black holes, will exhibit non-monotonicity in its transition properties near the…

General Relativity and Quantum Cosmology · Physics 2024-09-23 Sijia Wang , María Rosa Preciado-Rivas , Massimiliano Spadafora , Robert B. Mann