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We show that the first law of the black hole thermodynamics can lead to the tunneling probability through the quantum horizon by calculating the change of entropy with the quantum gravity correction and the change of surface gravity is…

High Energy Physics - Theory · Physics 2009-01-06 Baocheng Zhang , Qing-yu Cai , Ming-sheng Zhan

We develop the canonical theory of gravitational collapse in 2+1 dimensions with a negative cosmological constant and obtain exact solutions of the Wheeler--DeWitt equation regularized on a lattice. We employ these solutions to derive the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Cenalo Vaz , Sashideep Gutti , Claus Kiefer , T. P. Singh

We consider dynamical black hole formation from a collapsing fluid described by a symmetric and flat FRW metric. Using the Hamilton-Jacobi method the local Hawking temperature for the formed trapping/apparent horizon is calculated. The…

General Relativity and Quantum Cosmology · Physics 2016-01-04 Rudolf Baier , Stefan Stricker

We study time-dependant Hawking-like radiation as seen by an infalling observer during gravitational collapse of a thin shell. We calculate the occupation number of particles whose frequencies are measured in the proper time of an infalling…

General Relativity and Quantum Cosmology · Physics 2016-09-22 Anshul Saini , Dejan Stojkovic

A recently discovered classical-quantum correspondence (CQC) maps certain quantum problems to corresponding classical problems. We illustrate the CQC for a quantum scalar field in the gravitational background of a collapsing spherical…

High Energy Physics - Theory · Physics 2019-04-17 Tanmay Vachaspati , George Zahariade

In the Jacobson formalism general relativity is obtained from thermodynamics. This is done by using the Bekenstein-Hawking entropy-area relation. However, as a black holes will gets smaller, its temperature will increase. This will cause…

General Relativity and Quantum Cosmology · Physics 2018-04-24 Mir Faizal , Amani Ashour , Mohammad Alcheikh , Lina Al Asfar , Salwa Alsaleh , Ahmed Mahroussah

In order to find the correct theory of quantum gravity, one has to look for observational effects in any candidate theory. Here, we focus on canonical quantum gravity and calculate the quantum-gravitational contributions to the anisotropy…

General Relativity and Quantum Cosmology · Physics 2016-05-20 Manuel Kraemer

The generalized uncertainty relation is expected to be an essential element in a theory of quantum gravity. In this work, we examine its effect on the Hawking radiation of a Schwarzschild black hole formed from collapse by incorporating a…

General Relativity and Quantum Cosmology · Physics 2024-01-03 Tin-Long Chau , Pei-Ming Ho , Hikaru Kawai , Wei-Hsiang Shao , Cheng-Tsung Wang

Experiments are beginning to probe the interaction of quantum particles with gravitational fields beyond the uniform-field regime. In non-relativistic quantum mechanics, the gravitational field in such experiments can be written as a…

Vacuum quantum fluctuations near horizons are known to yield correlated emission by the Hawking effect. We use a driven-dissipative quantum fluid of microcavity polaritons as an analog model of a quantum field theory on a black-hole…

We study black hole radiation inside black holes within the framework of quantum gravity. First, we review on our previous work of a canonical quantization for a spherically symmetric geometry where one of the spatial coordinates is treated…

High Energy Physics - Theory · Physics 2015-03-10 Ichiro Oda

The complex-time method for quantum tunneling is studied. In one-dimensional quantum mechanics, we construct a reduction formula for a Green function in the number of turning points based on the WKB approximation. This formula yields a…

High Energy Physics - Theory · Physics 2010-11-01 Hideaki Aoyama , Toshiyuki Harano

We consider the energy averaged two-point correlator of spectral determinants and calculate contributions beyond the diagonal approximation using semiclassical methods. Evaluating the contributions originating from pseudo-orbit correlations…

Chaotic Dynamics · Physics 2015-05-13 Daniel Waltner , Stefan Heusler , Juan Diego Urbina , Klaus Richter

Two types of semiclassical calculations have been used to study quantum effects in black hole backgrounds, the WKB and the mean field approaches. In this work we systematically reconstruct the logical implications of both methods on quantum…

High Energy Physics - Theory · Physics 2010-11-01 B. Harms , Y. Leblanc

We construct analogues for the quantum phenomena of black hole radiation in the context of {\it classical field theory}. Hawking radiation from a (radially) collapsing star is mathematically equivalent to radiation from a mirror moving…

General Relativity and Quantum Cosmology · Physics 2007-05-23 K. Srinivasan , T. Padmanabhan

The semiclassical interaction of the gravitational with a quantum scalar field is considered, in view of the renormalizability of the associated energy-momentum tensor in a n-dimensional curved spacetime resulting from a quadratic…

General Relativity and Quantum Cosmology · Physics 2023-06-21 Kostas Kleidis

We study the universal fluctuations of the Wigner-Smith time delay for systems which exhibit chaotic dynamics in their classical limit. We present a new derivation of the semiclassical relation of the quantum time delay to properties of the…

chao-dyn · Physics 2009-10-30 R. O. Vallejos , A. M. Ozorio de Almeida , C. H. Lewenkopf

In a seminal paper, Alcubierre showed that Einstein's theory of general relativity appears to allow a super-luminal motion. In the present study, we use a recent eternal-warp-drive solution found by Alcubierre to study the effect of Hawking…

General Relativity and Quantum Cosmology · Physics 2017-12-12 Kimet Jusufi , İzzet Sakallı , Ali Övgün

Alternative versions of the Klein-Gordon and Dirac equations in a curved spacetime are got by applying directly the classical-quantum correspondence.

General Relativity and Quantum Cosmology · Physics 2016-11-23 Mayeul Arminjon

We present a semiclassical calculation, based on classical action correlations implemented by means of a matrix integral, of all moments of the Wigner--Smith time delay matrix, $Q$, in the context of quantum scattering through systems with…

Chaotic Dynamics · Physics 2023-05-26 Marcel Novaes
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