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Phys. Rev. D 78, 123508 (2008) [8 pages]

Quantum particle production at sudden singularities

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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

Received 30 July 2008; published 3 December 2008

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.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.78.123508
DOI:
10.1103/PhysRevD.78.123508
PACS:
98.80.−k, 04.62.+v

See Also

See Also: John D. Barrow, Antônio B. Batista, Júlio C. Fabris, Mahouton J. S. Houndjo, and Giuseppe Dito, Sudden singularities survive massive quantum particle production, Phys. Rev. D 84, 123518 (2011).