Particle creation in some LRS Bianchi I models

It is believed that soon after the Planck time, Einstein's general relativity theory should be corrected to an effective quadratic theory. Numerical solutions for the anisotropic generalization of the Friedmann "flat" model E3 for this effective gravity are given. It must be emphasized that although numeric, these solutions are exact in the sense that they depend only on the precision of the machine. The solutions are identified asymptotically in a certain sense. It is found solutions which asymptote de Sitter space, Minkowski space and a singularity. This work is a generalization for nondiagonal spatial metrics of a previous result obtained by one of us and a collaborator for Bianchi I spaces.

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Particle creation and quadratic deceleration parameter in Lyra geometry

New Astronomy ◽

10.1016/j.newast.2020.101563 ◽

2021 ◽

Vol 85 ◽

pp. 101563

Author(s):

Binaya K. Bishi ◽

Pratik V. Lepse

Keyword(s):

Deceleration Parameter ◽

Particle Creation ◽

Lyra Geometry

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Vacuum polarization and particle creation in the presence of a potential step

International Journal of Modern Physics A ◽

10.1142/s0217751x16410311 ◽

2016 ◽

Vol 31 (02n03) ◽

pp. 1641031 ◽

Cited By ~ 2

Author(s):

S. P. Gavrilov ◽

D. M. Gitman

Keyword(s):

Electric Potential ◽

Canonical Quantization ◽

Particle Creation ◽

Pair Creation ◽

Dirac Field ◽

Potential Step ◽

Electron Positron ◽

Physical Impact ◽

Particle Interpretation ◽

Electron Positron Pair

We consider QED with strong external backgrounds that are concentrated in restricted space areas. The latter backgrounds represent a kind of spatial x-electric potential steps for charged particles. They can create particles from the vacuum, the Klein paradox being closely related to this process. We describe a canonical quantization of the Dirac field with x-electric potential step in terms of adequate in- and out-creation and annihilation operators that allow one to have consistent particle interpretation of the physical system under consideration and develop a nonperturbative (in the external field) technics to calculate scattering, reflection, and electron-positron pair creation. We resume the physical impact of this development.

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