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Communications in Mathematical Physics

, Volume 54, Issue 1, pp 1–19 | Cite as

The back reaction effect in particle creation in curved spacetime

  • Robert M. Wald
Article

Abstract

The problem of determining the changes in the gravitational field caused by particle creation is investigated in the context of the semiclassical approximation, where the gravitational field (i.e., spacetime geometry) is treated classically and an effective stress energy is assigned to the created particles which acts as a source of the gravitational field. An axiomatic approach is taken. We list five conditions which the renormalized stress-energy operatorTμv should satisfy in order to give a reasonable semiclassical theory. It is proven that these conditions uniquely determineTμv, i.e. there is at most one renormalized stress-energy operator which satisfies all the conditions. We investigate existence by examining an explicit “point-splitting” type prescription for renormalizingTμv. Modulo some standard assumptions which are made in defining the prescription forTμv, it is shown that this prescription satisfies at least four of the five axioms.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Effective Stress 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer-Verlag 1977

Authors and Affiliations

  • Robert M. Wald
    • 1
  1. 1.Enrico Fermi InstituteUniversity of ChicagoChicagoUSA

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