Quantum particle production at sudden singularities

John D. Barrow, Antonio B. Batista, Júlio C. Fabris, and Stéphane Houndjo
Phys. Rev. D 78, 123508 – Published 3 December 2008

Abstract

We investigate the effects of quantum particle production on a classical sudden singularity occurring at finite time in a Friedmann universe. We use an exact solution to describe an initially radiation-dominated universe that evolves into a sudden singularity at finite time. We calculate the density of created particles exactly and find that it is generally much smaller than the classical background density and pressure which produce the sudden singularity. We conclude that, in the example studied, the quantum particle production does not lead to the avoidance or modification to the sudden future singularity. We argue that the effects of small residual anisotropies in the expansion will not change these results and show how they can be related to studies of classical particle production using a bulk viscosity. We conclude that we do not expect to see significant observable effects from local sudden singularities on our past light cone.

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  • Received 30 July 2008

DOI:https://doi.org/10.1103/PhysRevD.78.123508

©2008 American Physical Society

Authors & Affiliations

John D. Barrow1, Antonio B. Batista2, Júlio C. Fabris2,3, and Stéphane Houndjo2

  • 1DAMTP, Centre for Mathematical Sciences, Cambridge University, Wilberforce Road, Cambridge CB3 0WA, United Kingdom
  • 2Departamento de Física, Universidade Federal do Espírito Santo, CEP 29060-900 Vitória, Espírito Santo, Brasil
  • 3GrϵCO, Institut d’Astrophysique de Paris-IAP, 98bis, Boulevard Arago, 75014 Paris, France

See Also

Sudden singularities survive massive quantum particle production

John D. Barrow, Antônio B. Batista, Júlio C. Fabris, Mahouton J. S. Houndjo, and Giuseppe Dito
Phys. Rev. D 84, 123518 (2011)

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Vol. 78, Iss. 12 — 15 December 2008

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