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In the Big Rip cosmological scenario, a FRW universe containing dark energy with $w < -1$ in its equation of state (phantom energy) expands in such way that, in a finite time span, the scale factor diverges to infinity and the size of the…

General Relativity and Quantum Cosmology · Physics 2020-07-07 Rafael Ruggiero

Acoustic waves in fluids undergoing the transition from sub- to supersonic flow satisfy governing equations similar to those for light waves in the immediate vicinity of a black hole event horizon. This acoustic analogy has been used by…

Fluid Dynamics · Physics 2015-09-30 Eugene R. Tracy , Dmitriy Zhigunov

The separated radial part of a massive complex scalar wave equation in the Kerr-Sen geometry is shown to satisfy the generalized spheroidal wave equation which is, in fact, a confluent Heun equation up to a multiplier. The Hawking…

General Relativity and Quantum Cosmology · Physics 2009-11-07 S. Q. Wu , X. Cai

Applying the Hamilton-Jacobi method beyond the semiclassical approximation prescribed in \cite{Majhi3} for the scalar particle, Hawking radiation as tunneling of Dirac particle through an event horizon is analysed. We show that, as before,…

High Energy Physics - Theory · Physics 2009-02-20 Bibhas Ranjan Majhi

I present a microscopic description of Hawking radiation in sonic black holes. A one-dimensional Fermi-degenerate liquid squeezed by a smooth barrier forms a transonic flow, a sonic analogue of a black hole. The quantum treatment of the…

Atomic Physics · Physics 2009-11-10 S. Giovanazzi

We study massive scalar fields and Dirac fields propagating in a five dimensional dilatonic black hole background. We expose that for both fields the physics can be describe by a two dimensional theory, near the horizon. Then, in this…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Ramón Becar , P. A. González

We extend to the fermionic spin-1/2 case earlier work on quantum amplitudes arising from gravitational collapse to a black hole. Boundary data are specified on initial and final asymptotically-flat space-like hypersurfaces $\Sigma_{I,F}$,…

General Relativity and Quantum Cosmology · Physics 2015-06-25 A. N. St. J. Farley , P. D. D'Eath

The rotating linear dilatonic black hole is an asymptotically non-flat solution to Einstein-Maxwell-Dilaton-Axion gravity theory due to the existence of non-trivial matter fields. We have analytically studied the wave equation of scalar…

High Energy Physics - Theory · Physics 2013-04-29 Ran Li

Hawking radiation from black hole horizon can be viewed as a quantum tunnelling process, and fermions via tunnelling can successfully recover Hawking temperature. In this paper, considering the tunnelling particles with spin 1/2 (namely,…

High Energy Physics - Theory · Physics 2008-11-26 De-You Chen , Qing-Quan Jiang , Xiao-Tao Zu

Recent progress of black hole thermodynamics due to Hawking radiation has been applied to universal thermodynamics with universe as inhomogeneous LTB model. Hawking-like temperature with quantum corrections has been evaluated using HJ…

General Relativity and Quantum Cosmology · Physics 2012-10-01 Ritabrata Biswas , Nairwita Mazumder , Subenoy Chakraborty

We derive the Hawking spectrum of fermions emitted by a minimally geometric deformed (MGD) black hole. The MGD naturally describes quantum effects on the geometry in the form of a length scale related, for instance, to the existence of…

High Energy Physics - Theory · Physics 2018-08-15 Roberto Casadio , Piero Nicolini , Roldao da Rocha

We show that the mathematics of Hawking process can be interpreted classically as the Fourier analysis of an exponentially redshifted wave mode which scatters off the black hole and travels to infinity at late times. We use this method to…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. Nouri-Zonoz , T. Padmanabhan

The Hawking radiation forms the essential basis of the black hole thermodynamics. The black hole thermodynamics denotes a nice correspondence between black hole kinematics and the laws of ordinary thermodynamics, but has been so far…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Hiromi Saida

The fermion representation for S = 1/2 spins is generalized to spins with arbitrary magnitudes. The symmetry properties of the representation is analyzed where we find that the particle-hole symmetry in the spinon Hilbert space of S =1/2…

Strongly Correlated Electrons · Physics 2011-02-28 Zheng-Xin Liu , Yi Zhou , Tai-Kai Ng

We study Hawking radiation of charged fermions from accelerating and rotation black holes with electric and magnetic charges. We calculate the tunneling probabilities of incoming and outgoing fermionic particles and find the Hawking…

High Energy Physics - Theory · Physics 2011-03-18 Mudassar Rehman , K. Saifullah

In this paper, the tunneling radiation of fermions with spin $1/2$ and $3/2$ from the non-stationary Kerr black hole are investigated. First, according to the Dirac equation for spin $1/2$ fermions and Rarita-Schwinger equation for spin…

General Physics · Physics 2019-01-08 Qun-Chao Ding , Zhong-Wen Feng , Shu-Zheng Yang

By introducing a specific etheric-like vector in the Dirac equation with Lorentz Invariance Violation (LIV) in the curved spacetime, an improved method for quantum tunneling radiation of fermions is proposed. As an example, we apply this…

General Relativity and Quantum Cosmology · Physics 2022-10-12 Jie Zhang , Menquan Liu , Zhie Liu , Shuzheng Yang

We calculated the Dirac Particles' Hawking radiation from the outer horizon of BTZ black hole via tunneling formalism. Applying WKB approximation to the Dirac equation in (2+1) dimensional BTZ spacetime background, we obtain the radiation…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ran Li , Ji-Rong Ren

We obtain the Hawking spectrum by exponentiating a series of Feynman diagrams describing a scalar field scattering through a collapse background. Our approach is rooted in semiclassical methods of scattering amplitudes which have recently…

High Energy Physics - Theory · Physics 2024-12-09 Rafael Aoude , Donal O'Connell , Matteo Sergola

The maximal algebra of symmetries of the free single-particle Schroedinger equation is determined and its relevance for the holographic duality in non-relativistic Fermi systems is investigated. This algebra of symmetries is an infinite…

High Energy Physics - Theory · Physics 2015-03-19 Xavier Bekaert , Elisa Meunier , Sergej Moroz