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In this paper we study the vacuum quantum fluctuations of the stationary modes of an uncharged scalar field with mass $m$ around a Schwarzschild black hole with mass $M$, at zero and non-zero temperatures. The procedure consists of…

General Relativity and Quantum Cosmology · Physics 2018-01-10 C. R. Muniz , M. O. Tahim , M. S. Cunha , H. S. Vieira

In this work, we analyze the Casimir effect associated with a massive, non-minimally coupled scalar field in static, spherically symmetric black hole spacetimes arising in bumblebee gravity. Three distinct solutions are considered,…

General Relativity and Quantum Cosmology · Physics 2026-03-03 D. S. Cabral , A. A. Araújo Filho , A. F. Santos

The discussion of vacuum energy is currently a subject of great theoretical importance, specially concerning the cosmological constant problem in General Relativity. From Quantum Field Theory, it is stated that vacuum states subject to…

High Energy Physics - Theory · Physics 2020-02-07 A. P. C. M. Lima , G. Alencar , C. R. Muniz , R. R. Landim

We consider the effects of rotations on the calculation of some thermodynamical quantities like the free energy, internal energy and entropy. In ordinary gravity, when we evaluate the density of states of a scalar field close to a black…

General Relativity and Quantum Cosmology · Physics 2019-07-09 Remo Garattini

In this work, we investigate regular black hole solutions in nonminimal Einstein-Yang-Mills theory modified by Rainbow Gravity, focusing on the impact of quantum gravity effects on their thermodynamics, particle emission, energy conditions,…

General Relativity and Quantum Cosmology · Physics 2025-12-09 Célio R. Muniz , Francisco Bento Lustosa , Takol Tangphati

In this paper, by utilizing the rainbow functions that were proposed by Amelino-Camelia \emph{et al}., the information flux of rainbow Schwarzschild black hole and the sparsity of Hawking radiation in rainbow gravity are explored. The…

General Relativity and Quantum Cosmology · Physics 2020-04-01 Zhong-Wen Feng , Shu-Zheng Yang

In the present paper we investigate the effects caused by the modification of the dispersion relation obtained by solving the Klein-Gordon equation in the closed Einstein's universe in the context of rainbow's gravity models. Thus, we…

General Relativity and Quantum Cosmology · Physics 2018-01-17 V. B. Bezerra , H. F. Mota , C. R. Muniz

To see how the gravity's rainbow works for black hole complementary, we evaluate the required energy for duplication of information in the context of black hole complementarity by calculating the critical value of the rainbow parameter in…

General Relativity and Quantum Cosmology · Physics 2015-05-07 Yongwan Gim , Wontae Kim

In the present paper we investigate thermal fluctuation corrections to the vacuum energy at zero temperature of a conformally coupled massless scalar field whose modes propagate in the Einstein universe with a spherical boundary,…

High Energy Physics - Theory · Physics 2022-11-18 Herondy F. S. Mota , Celio R. Muniz , Valdir B. Bezerra

We compute the Zero Point Energy in a spherically symmetric background combining the high energy distortion of Gravity's Rainbow with the modification induced by a f(R) theory. Here f(R) is a generic analytic function of the Ricci curvature…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Remo Garattini

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

In this paper we discuss the Casimir effect in a small cavity, freely falling from spatial infinity in spacetime geometry outside of a Schwarzschild black hole. Our main goal is to search for possible changes in the vacuum energy, as well…

General Relativity and Quantum Cosmology · Physics 2019-11-20 Francesco Sorge , Justin H. Wilson

We obtain a (5+1)-dimensional global flat embedding of modified Schwarzschild black hole in rainbow gravity. We show that local free-fall temperature in rainbow gravity, which depends on different energy $\omega$ of a test particle, is…

General Relativity and Quantum Cosmology · Physics 2016-06-06 Yong-Wan Kim , Young-Jai Park

We show through Schwinger's approach that in a static weak gravitational background, the Casimir Energy for a real massless scalar field obeying Dirichlet boundary conditions on rectangular plates is unaltered from it's flat space-time…

High Energy Physics - Theory · Physics 2021-02-03 A. P. C. M Lima , G. Alencar , R. R. Landim

In this paper, using Hamilton-Jacobi method, we address the tunnelling of fermions in a 4-dimensional Schwarzschild spacetime. Base on the generalized uncertainty principle, we introduce the influence of quantum gravity. After solving the…

General Relativity and Quantum Cosmology · Physics 2013-11-14 Deyou Chen , Houwen Wu , Haitang Yang

In this letter, we analyze the modification to the thermodynamics of a Schwarzchild black hole and a Kerr black hole due to gravity's rainbow. The metric for these black holes will be made energy dependent. This will be done by using…

General Relativity and Quantum Cosmology · Physics 2022-12-02 Moh Vaseem Akram , Imtiyaz Ahmad Bhat , Anver Aziz

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

We study the finite-temperature Casimir effect for a massless scalar field confined between two parallel plates in a Schwarzschild-like wormhole spacetime. Imposing Dirichlet boundary conditions, we compute the renormalized Casimir free…

High Energy Physics - Theory · Physics 2026-05-27 Arista Romadani , Apriadi Salim Adam , Ar Rohim , Bintoro Anang Subagyo , Agus Purwanto

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

On gravity's rainbow, the energy of particles affects the geometry of black hole in such a way that the Hawking temperature of black hole is appropriately modified. It means that the fiducial and free-fall temperatures on the background of…

General Relativity and Quantum Cosmology · Physics 2016-03-31 Yongwan Gim , Wontae Kim
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