Particle creation from the quantum stress tensor

Javad T. Firouzjaee and George F. R. Ellis
Phys. Rev. D 91, 103002 – Published 14 May 2015

Abstract

Among the different methods to derive particle creation, finding the quantum stress tensor expectation value gives a covariant quantity which can be used for examining the backreaction issue. However this tensor also includes vacuum polarization in a way that depends on the vacuum chosen. Here we review different aspects of particle creation by looking at energy conservation and at the quantum stress tensor. We show that in the case of general spherically symmetric black holes that have a dynamical horizon, as occurs in a cosmological context, one cannot have pair creation on the horizon because this violates energy conservation. This confirms the results obtained in other ways in a previous paper [J. T. Firouzjaee and G. F. R. Ellis, Gen. Relativ. Gravit. 47, 6 (2015)]. Looking at the expectation value of the quantum stress tensor with three different definitions of the vacuum state, we study the nature of particle creation and vacuum polarization in black hole and cosmological models, and the associated stress-energy tensors. We show that the thermal temperature that is calculated from the particle flux given by the quantum stress tensor is compatible with the temperature determined by the affine null parameter approach. Finally, we show that in the spherically symmetric dynamic case, we can neglect the backscattering term and only consider the s-wave term near the future apparent horizon.

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  • Received 18 March 2015

DOI:https://doi.org/10.1103/PhysRevD.91.103002

© 2015 American Physical Society

Authors & Affiliations

Javad T. Firouzjaee1,2,* and George F. R. Ellis2,†

  • 1School of Astronomy, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5531, Tehran, Iran
  • 2Mathematics and Applied Mathematics Department, University of Cape Town, Rondebosch, Cape Town 7701, South Africa

  • *j.taghizadeh.f@ipm.ir
  • gfrellisf@gmail.com

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Vol. 91, Iss. 10 — 15 May 2015

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