Back reaction of the neutrino field in an Einstein universe

Details Back reaction of the neutrino field in an Einstein universe Back reaction of the neutrino field in an Einstein universe

2002-12-30

arxiv.org/abs/gr-qc/0212123v2

Class.Quant.Grav. 20 (2003) 331-340

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 figures

Scientific paper

10.1088/0264-9381/20/2/306

The back reaction effect of the neutrino field at finite temperature in the background of the static Einstein universe is investigated. A relationship between the temperature of the universe and its radius is found. As in the previously studied cases of the massless scalar field and the photon field, this relation exhibit a minimum radius below which no self-consistent solution for the Einstein field equation can be found. A maximum temperature marks the transition from a vacuum dominated state to the radiation dominated state universe. In the light of the results obtained for the scalar, neutrino and photon fields the role of the back reaction of quantum fields in controling the value of the cosmological constant is briefly discussed.

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