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Related papers: Geodesic deviation and particle creation in curved…

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We have investigated the motion of timelike particles along geodesic in the background of accelerating and rotating black hole spacetime. We confirmed that the chaos exists in the geodesic motion of the particles by Poincar\'e sections, the…

General Relativity and Quantum Cosmology · Physics 2016-10-12 Songbai Chen , Mingzhi Wang , Jiliang Jing

We study the derivation of the effective equation of motion for a pointlike particle in the framework of quantum gravity. Just like the geodesic motion of a classical particle is a consequence of classical field theory coupled to general…

General Relativity and Quantum Cosmology · Physics 2019-10-01 Francisco Pipa , Nikola Paunkovic , Marko Vojinovic

Recently in \cite{Anderson:2013zia, Anderson:2013ila}, it was shown that global de Sitter space is unstable even to the massive particle creation with no self-interactions. In this paper we study the instability by making use of the…

General Relativity and Quantum Cosmology · Physics 2015-04-28 M. Reza Tanhayi

In our previous work (Phys. Rev. Research 7, 033079), we derived the metric tensor for cylindrically shaped pulses with uniform energy density. Building upon that framework, we derive the complete set of geodesics with zero angular…

General Relativity and Quantum Cosmology · Physics 2025-07-29 Riccardo Falcone , Claudio Conti

We use a recent formalism of quantum geodesics in noncommutative geometry to construct geodesic flow on the infinite chain $\cdots\bullet$--$\bullet$--$\bullet\cdots$. We find that noncommutative effects due to the discretisation of the…

Quantum Algebra · Mathematics 2023-09-27 Edwin Beggs , Shahn Majid

We study the Schwinger effect, in which the external field having a spatiotemporal profile creates electron-positron pairs via multidimensional quantum tunneling. Our treatment is based on the trace formula for the QED effective action,…

High Energy Physics - Theory · Physics 2016-04-13 Cesim K. Dumlu

The idea that the quantum space-time of microphysics may be fractal everywhere was intensively investigated recently, and several authors have presented the geodesic equations of different fractal space - times. In the present work we…

Quantum Physics · Physics 2008-06-19 M. E. Kahil , T. Harko

In this letter we study the problem of scalar particle production in external electric field in de Sitter geometry. The total probability is calculated using the previously obtained result in Ref.\cite{6} for transition amplitude in…

General Relativity and Quantum Cosmology · Physics 2017-02-23 Cosmin Crucean , Mihaela-Andreea Băloi

We study the distribution and generation of quantum coherence for two-mode and multi-mode Gaussian states in de Sitter space. It is found that the quantum coherence is redistributed among the mode in different open charts under the…

General Relativity and Quantum Cosmology · Physics 2022-06-22 Qianqian Liu , Cuihong Wen , Jieci Wang , Jiliang Jing

We present a dynamical analysis of the (classical) spatially flat and negative curved Friedmann-Lameitre-Robertson-Walker (FLRW) universes evolving, (by assumption) close to the thermodynamic equilibrium, in presence of a particles creation…

General Relativity and Quantum Cosmology · Physics 2009-11-07 G. Montani

The effect of the electric field on the creation of spin 1/2 particles from vacuum in the (1+1) dimensional de-Sitter space-time is studied. The Dirac equation with a constant electric field is solved by introducing an unitary…

General Relativity and Quantum Cosmology · Physics 2015-05-01 S. Haouat , R. Chekireb

We investigate decoherence of quantum superpositions induced by gravitational time dilation and spontaneous emission between two atomic levels. It has been shown that gravitational time dilation can be an universal decoherence source. Here,…

Quantum Physics · Physics 2017-08-28 Dong Xie , Chunling Xu , Anmin Wang

Complicated time-dependent curved spacetime and electric field are involved in many astrophysical situations, including the early universe, Hawking radiation, the Schwinger effect, and gravitational pair production. In this Letter, a…

General Relativity and Quantum Cosmology · Physics 2025-02-18 Orkash Amat , Nurimangul Nurmamat , Yong-Feng Huang , Cheng-Ming Li , Jin-Jun Geng , Chen-RanHu , Ze-Cheng Zou , Xiao-Fei Dong , Chen Deng , Fan Xu , Xiao-li Zhang , Chen Du

In this contribution, the motion of unitary mass test particles in a perturbed Kerr-like metric is studied using simulations in the configuration and phase space. Our metric represents the approximate exterior spacetime of a massive…

General Relativity and Quantum Cosmology · Physics 2022-09-21 Adrián Francisco Eduarte-Rojas , Francisco Frutos-Alfaro , Rodrigo Carboni , Daniel Alvarado

We use wave packet mode quantization to compute the creation of massless scalar quantum particles in a colliding plane wave spacetime. The background spacetime represents the collision of two gravitational shock waves followed by trailing…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Miquel Dorca , Enric Verdaguer

Motivated by the work of Mersini, the particle production related to the tunneling in false vacuum decay is carefully investigated in the thin-wall approximation. It is shown that in this case the particle production is exponentially…

High Energy Physics - Theory · Physics 2009-11-10 Michael Maziashvili

The geodesic deviation equation (`GDE') provides an elegant tool to investigate the timelike, null and spacelike structure of spacetime geometries. Here we employ the GDE to review these structures within the…

General Relativity and Quantum Cosmology · Physics 2022-03-14 George F R Ellis , Henk van Elst

The relationship between classical and quantum mechanics is explored in an intuitive manner by the exercise of constructing a wave in association with a classical particle. Using special relativity, the time coordinate in the frame of…

General Physics · Physics 2008-12-08 C. L. Herzenberg

We study the classical geodesic motions of nonzero rest mass test particles and photons in (3+1+n)- dimensional warped product spaces. An important feature of these spaces is that they allow a natural decoupling between the motions in the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Fabio Dahia , Carlos Romero , Lucio F. P. Silva , Reza Tavakol

We investigate motion of test particles in exact spacetimes with an expanding impulsive gravitational wave which propagates in Minkowski, de Sitter or anti-de Sitter universe. Using the continuous form of these metrics we derive explicit…

General Relativity and Quantum Cosmology · Physics 2010-12-23 Jiri Podolsky , Robert Svarc