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Hawking radiation as tunneling by Hamilton-Jacobi method beyond semiclassical approximation is analysed. We compute all quantum corrections in the single particle action revealing that these are proportional to the usual semiclassical…

High Energy Physics - Theory · Physics 2014-11-18 Rabin Banerjee , Bibhas Ranjan Majhi

In this paper, we investigate effects of the minimal length on quantum tunnelling from spherically symmetric black holes using the Hamilton-Jacobi method incorporating the minimal length. We first derive the deformed Hamilton-Jacobi…

General Relativity and Quantum Cosmology · Physics 2015-01-27 Benrong Mu , Peng Wang , Haitang Yang

In this study, the quantum gravity effect on the tunnelling radiation of charged massive spin-0 scalar particle from 2+1 dimensional charged rotating Banados-Teitelboim-Zanelli (BTZ) black hole is looked into by using the Hamilton-Jacobi…

General Relativity and Quantum Cosmology · Physics 2018-11-13 Ganim Gecim , Yusuf Sucu

In this work, we explore a gravitational non-commutative black hole by gauging the de Sitter SO(4,1) group and employing the Seiberg-Witten map. Specifically, we examine modifications of non-commutativity represented through mass…

General Relativity and Quantum Cosmology · Physics 2025-07-02 A. A. Araújo Filho , N. Heidari , Ali Övgün

We propose a new method to account for quantum-gravitational effects in cosmological and black hole spacetimes. At the core of our construction is the "decoupling mechanism": when a physical infrared scale overcomes the effect of the…

General Relativity and Quantum Cosmology · Physics 2023-05-24 Johanna N. Borissova , Alessia Platania

The tunneling formalism in the Hamilton-Jacobi approach is adopted to study Hawking radiation of massless Dirac particles from spherically symmetric black hole spacetimes incorporating the effects of the generalized uncertainty principle.…

General Relativity and Quantum Cosmology · Physics 2016-01-05 Sunandan Gangopadhyay

Quantum gravity theories predict deformations of black hole solutions relative to their classical counterparts. A model-independent approach was advocated in \cite{Binetti:2022xdi} that uses metric deformations parametrised in terms of…

General Relativity and Quantum Cosmology · Physics 2023-07-26 Manuel Del Piano , Stefan Hohenegger , Francesco Sannino

Applying the Hamilton--Jacobi method we investigate the tunneling of photon across the event horizon of a static spherically symmetric black hole. The necessity of the gauge condition on the photon field, to derive the semiclassical Hawking…

High Energy Physics - Theory · Physics 2010-09-06 Bibhas Ranjan Majhi , Saurav Samanta

Recently the modified Dirac equation with Lorentz invariance violation has been proposed, which would be helpful to resolve some issues in quantum gravity theory and high energy physics. In this paper, the modified Dirac equation has been…

High Energy Physics - Theory · Physics 2014-02-14 Shu-Zheng Yang , Kai Lin , Jin Li , Qing-Quan Jiang

In this paper we consider the generalized uncertainty principle in the tunneling formalism via Hamilton-Jacobi method to determine the quantum-corrected Hawking temperature and entropy for 2+1-dimensional noncommutative acoustic black…

High Energy Physics - Theory · Physics 2015-02-03 M. A. Anacleto , F. A. Brito , G. C. Luna , E. Passos , J. Spinelly

This paper presents a concise review of the quantum tunneling approach to Hawking radiation, covering its theoretical foundations, extensions, and experimental efforts. We begin by outlining the Hamilton-Jacobi and Parikh-Wilczek methods,…

General Relativity and Quantum Cosmology · Physics 2025-12-09 Sareh Eslamzadeh , Saheb Soroushfar

We point out basic misunderstandings about quantum field theory, general relativity and partial derivatives in the above Comments. In reply to a second comment on our first reply by the same author, we also identify precisely where the…

General Relativity and Quantum Cosmology · Physics 2009-09-26 S. A. Hayward , R. Di Criscienzo , M. Nadalini , L. Vanzo , S. Zerbini

In this review, we discuss effects of quantum gravity on black hole physics. After a brief review of the origin of the minimal observable length from various quantum gravity theories, we present the tunneling method. To incorporate quantum…

General Relativity and Quantum Cosmology · Physics 2014-10-21 Deyou Chen , Houwen Wu , Haitang Yang , Shuzheng Yang

Using the Hamilton-Jacobi method of quantum tunneling and complex path integration, we study Hawking radiation of scalar particles from rotating black strings. We discuss tunneling of both charged and uncharged scalar particles from the…

High Energy Physics - Theory · Physics 2017-12-21 H. Gohar , K. Saifullah

Recent research shows that Hawking radiation can be treated as a quantum tunnelling process, and Hawking temperature of Dirac particles across the horizon of a black hole can be correctly recovered via fermions tunnelling method. In this…

High Energy Physics - Theory · Physics 2008-11-26 Qing-Quan Jiang

In a seminal work, Hawking showed that natural states for free quantum matter fields on classical spacetimes that solve the spherically symmetric vacuum Einstein equations are KMS states of non-vanishing temperature. Although Hawking's…

General Relativity and Quantum Cosmology · Physics 2024-05-01 Thomas Thiemann

A Hamilton-Jacobi formalism for thermodynamics was formulated by Rajeev [Ann. Phys. 323, 2265 (2008)] based on the contact structure of the odd dimensional thermodynamic phase space. This allows one to derive the equations of state of a…

General Relativity and Quantum Cosmology · Physics 2019-01-31 Tekin Dereli , Kıvanç İ. Ünlütürk

In this study, we investigate the influences of fermionic $q$-deformation on the Einstein equations by taking into account of Verlinde's entropic gravity approach and Strominger's proposal on quantum black holes. According to Verlinde's…

General Physics · Physics 2019-01-24 Mustafa Şenay , Salih Kibaroğlu

The tunneling method for stationary black holes in the Hamilton-Jacobi variant is reconsidered in the light of various critiques that have been moved against. It is shown that once the tunneling trajectories have been correctly identified…

General Relativity and Quantum Cosmology · Physics 2011-06-24 Luciano Vanzo

We study modifications of the Hawking emission in the evaporation of miniature black holes possibly produced in accelerators when their mass approaches the fundamental scale of gravity, set to 1 TeV according to some extra dimension models.…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. L. Alberghi , R. Casadio , D. Galli , D. Gregori , A. Tronconi , V. Vagnoni