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Using a model quantum clock, I evaluate an expression for the time of a non-relativistic quantum particle to transit a piecewise geodesic path in a background gravitational field with small spacetime curvature (gravity gradient), in the…

Quantum Physics · Physics 2009-11-10 P C W Davies

Applying Parikh's semi-classical tunneling method, we consider Hawking radiation of the charged massive particles as a tunneling process from the Reissner-Nordstrom-de Sitter black hole with a global monopole. The result shows that the…

High Energy Physics - Theory · Physics 2010-11-05 Qing-Quan Jiang , Shuang-Qing Wu

We solve the quantum constraint equations of the Lemaitre-Tolman-Bondi model in a semiclassical approximation in which an expansion is performed with respect to the Planck length. We recover in this way the standard expression for the…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Rabin Banerjee , Claus Kiefer , Bibhas Ranjan Majhi

We describe radiative processes in Quantum Cosmology, from the solutions of the Wheeler De Witt equation. By virtue of this constraint equation, the quantum propagation of gravity is modified by the matter interaction hamiltonian at the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 R. Parentani

Usually, Hawking radiation is derived assuming (i) that a future eternal event horizon forms, and (ii) that the subsequent exterior geometry is static. However, one may be interested in either considering quasi-black holes (objects in an…

General Relativity and Quantum Cosmology · Physics 2011-02-16 Carlos Barcelo , Stefano Liberati , Sebastiano Sonego , Matt Visser

The phenomenon of quantum tunneling is reviewed and an overview of applying approximate methods for studying this effect is given. An approach to a time-dependent formalism is proposed in one dimension and generalized to higher dimensions.…

Mathematical Physics · Physics 2010-02-03 Paul Bracken

Robinson-Wilczek's recent work, which treats Hawking radiation as a compensating flux to cancel gravitational anomaly at the horizon of a Schwarzschild-type black hole, is extended to study Hawking radiation of rotating black holes in…

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

We study particle production in Vaidya spacetime. Using the WKB approximation, the distribution of Hawking radiation is calculated without the near-horizon approximation, which leads to finite corrections to the purely thermal spectrum. We…

General Relativity and Quantum Cosmology · Physics 2024-09-18 Dawid Maskalaniec , Bartłomiej Sikorski

Gravitational radiation in plane-symmetric space-times can be encoded in a complex potential, satisfying a non-linear wave equation. An effective energy tensor for the radiation is given, taking a scalar-field form in terms of the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sean A. Hayward

Quantum theory and relativity offer different conceptions of time. To explore the conflict between them, we study a quantum version of the light-clock commonly used to illustrate relativistic time dilation. This semiclassical model combines…

Quantum Physics · Physics 2019-09-04 Maximilian P. E. Lock , Ivette Fuentes

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

These notes introduce the fundamentals of black hole geometry, the thermality of the vacuum, and the Hawking effect, in spacetime and its analogues. Stimulated emission of Hawking radiation, the trans-Planckian question, short wavelength…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Ted Jacobson

We propose a simple procedure for evaluating the main thermodynamical attributes of a Schwarzschild's black hole: Bekenstein-Hawking entropy, Hawking's temperature and Bekenstein's quantization of the surface area. We make use of the…

General Relativity and Quantum Cosmology · Physics 2009-11-13 V. Pankovic , M. Predojevic , P. Grujic

I summarize some results obtained from a canonical quantization of gravitational collapse. The quantization is carried out in Kuchar variables on the LeMaitre-Tolman-Bondi family of spacetimes. I show how mass quantization, the black hole…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Cenalo Vaz

Quantum fields exhibit non-trivial behaviours in curved space-times, especially around black holes or when a cosmological constant is added to the field equations. A new scheme, based on the Wentzel-Kramers-Brillouin (WKB) approximation is…

High Energy Physics - Theory · Physics 2008-11-26 J. Grain , A. Barrau

In this contribution we deal with several issues one encounters when trying to couple quantum matter to classical gravitational fields. We start with a general background discussion and then move on to two more technical sections. In the…

General Relativity and Quantum Cosmology · Physics 2023-10-13 Domenico Giulini , André Großardt , Philip K. Schwartz

According to relativity, the reading of an ideal clock is interpreted as the elapsed proper time along its classical trajectory through spacetime. In contrast, quantum theory allows the association of many simultaneous trajectories with a…

We calculate the gravitational wave power density emitted by quantum thermal sources. As particular cases, we calculate the emission of gravitational waves from the cosmic microwave background and from stellar sources. We study how treating…

General Relativity and Quantum Cosmology · Physics 2021-04-20 Petar Simidzija , Achim Kempf , Eduardo Martin-Martinez

In this paper,using Hamilton-Jacobi ansatz, we investigate scalar particles tunneling radiation in the Demianski-Newman spacetime. We get the effective temperature with influences of quantum gravity, and compare this temperature with the…

High Energy Physics - Theory · Physics 2020-07-22 Zhonghua Li

In the context of an extended General Relativity theory with boundary terms included, we introduce a new nonlinear quantum algebra involving a quantum differential operator, with the aim to calculate quantum geometric alterations when a…

General Relativity and Quantum Cosmology · Physics 2024-07-08 Mauricio Bellini , Juan Ignacio Musmarra , Daniela Magos
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