Graviton and topology contributions to self-consistent cosmology

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 t...

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Publicado: 1987
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03702693_v193_n1_p13_Castignino
http://hdl.handle.net/20.500.12110/paper_03702693_v193_n1_p13_Castignino
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spelling paper:paper_03702693_v193_n1_p13_Castignino2023-06-08T15:36:30Z Graviton and topology contributions to self-consistent cosmology 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. © 1987. 1987 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03702693_v193_n1_p13_Castignino http://hdl.handle.net/20.500.12110/paper_03702693_v193_n1_p13_Castignino
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description 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. © 1987.
title Graviton and topology contributions to self-consistent cosmology
spellingShingle Graviton and topology contributions to self-consistent cosmology
title_short Graviton and topology contributions to self-consistent cosmology
title_full Graviton and topology contributions to self-consistent cosmology
title_fullStr Graviton and topology contributions to self-consistent cosmology
title_full_unstemmed Graviton and topology contributions to self-consistent cosmology
title_sort graviton and topology contributions to self-consistent cosmology
publishDate 1987
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03702693_v193_n1_p13_Castignino
http://hdl.handle.net/20.500.12110/paper_03702693_v193_n1_p13_Castignino
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