Graviton and topology contributions to self-consistent cosmology

Details Graviton and topology contributions to self-consistent cosmology Graviton and topology contributions to self-consistent cosmology

Jul 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987phlb..193...13c&link_type=abstract

Physics Letters B, Volume 193, Issue 1, p. 13-22.

Physics

9

Scientific paper

We study the graviton contribution and the topological effects of antipodal identification in constant curvature solutions of semiclassical Einstein equations. We analyze the curvature R as a function of the cosmological constant Γ, of the topology (labelled here by a discrete parameter σ), and of the trace anomaly λ, the mass m and the coupling ξ of quantum matter fields. For m=0, we find eight possible (some of them classically forbidden) configurations depending on the graviton-matter balance. Even if Γ>0, R can be negative and even if Γ≠0, R goes to zero when N (the number of matter fields) goes to infinity. For m≠0 we find five characteristic types of behaviours depending on the values of ξ and σ. The ``back-reaction'' effects of the topology appear more important for small ξ and increasing R.
Permanent address: Groupe d'Astrophysique Relativiste, Obervatoire de Paris, Section de Meudon, F-92195 Meudon, France.

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