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Some Properties of the Solutions of the Back-Reaction Problem

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Abstract

The aim of this chapter is to present some qualitative considerations about the type of solutions of the semiclassical Einstein equations (s.E.e.). These equations [1], which rule the dynamic of the space-time metric, have a source term that is the renormalized expectation value of the energy-momentum tensor. The computation of this last object as a function of the metric is a rather difficult task that has been performed only in a few cases.

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References

  1. T. Azuma and S. Wada, General spatially flat cosmological solution to the Einstein equation with the cosmological constant and the anomaly, University of Tokio Komaba Report (1984).

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  2. A. Vilenkin, Phys. Rev. D 32, 2511 (1985);

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  3. A. A. Starobinski, in: Quantum gravity (M. Markov and P. West, eds.), Plenum Press, New York, 1984, p. 103.

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  4. M. Castagnino, D. Harari, and J. P. Paz, Class. Quantum Grav. 3, 569 (1986).

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  5. M. Castagnino and J. P. Paz, Phys. Lett. 164B, 274 (1986).

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  6. M. Castagnino, D. Harari, and C. Nunez, Vacuum J. Math. Phys. 28, 184 (1987).

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© 1988 Springer Science+Business Media New York

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Castagnino, M., Paz, J.P. (1988). Some Properties of the Solutions of the Back-Reaction Problem. In: Teitelboim, C. (eds) Quantum Mechanics of Fundamental Systems 1. Series of the Centro de Estudios Científicos de Santiago. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-3728-5_7

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  • DOI: https://doi.org/10.1007/978-1-4899-3728-5_7

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-3730-8

  • Online ISBN: 978-1-4899-3728-5

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