Self-consistent solutions of the semiclassical Einstein equations with cosmological constant

The general solution to the semiclassical backreaction equation is found for conformally invariant free quantum fields in spatially flat homogeneous and isotropic spacetime with Cosmological constant and with no classical source when the ratio of the renormalisation parameters β/α=9/4. It contains a...

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Autor principal: Chimento, L.P.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00017701_v25_n10_p979_Chimento
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spelling todo:paper_00017701_v25_n10_p979_Chimento2023-10-03T13:52:00Z Self-consistent solutions of the semiclassical Einstein equations with cosmological constant Chimento, L.P. The general solution to the semiclassical backreaction equation is found for conformally invariant free quantum fields in spatially flat homogeneous and isotropic spacetime with Cosmological constant and with no classical source when the ratio of the renormalisation parameters β/α=9/4. It contains a two-parameter family of bouncing solutions that avoid the singularity. There are several one-parameter families which do not have particle horizons. The stability of these solutions is investigated and it is found that they are stable when α and λ have different signs. However, when both parameters have the same sign the set of stable solutions is restricted by the condition 0 <λ < 1/9. In both cases these solutions have a final de Sitter stage. © 1993 Plenum Publishing Corporation. Fil:Chimento, L.P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00017701_v25_n10_p979_Chimento
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description The general solution to the semiclassical backreaction equation is found for conformally invariant free quantum fields in spatially flat homogeneous and isotropic spacetime with Cosmological constant and with no classical source when the ratio of the renormalisation parameters β/α=9/4. It contains a two-parameter family of bouncing solutions that avoid the singularity. There are several one-parameter families which do not have particle horizons. The stability of these solutions is investigated and it is found that they are stable when α and λ have different signs. However, when both parameters have the same sign the set of stable solutions is restricted by the condition 0 <λ < 1/9. In both cases these solutions have a final de Sitter stage. © 1993 Plenum Publishing Corporation.
format JOUR
author Chimento, L.P.
spellingShingle Chimento, L.P.
Self-consistent solutions of the semiclassical Einstein equations with cosmological constant
author_facet Chimento, L.P.
author_sort Chimento, L.P.
title Self-consistent solutions of the semiclassical Einstein equations with cosmological constant
title_short Self-consistent solutions of the semiclassical Einstein equations with cosmological constant
title_full Self-consistent solutions of the semiclassical Einstein equations with cosmological constant
title_fullStr Self-consistent solutions of the semiclassical Einstein equations with cosmological constant
title_full_unstemmed Self-consistent solutions of the semiclassical Einstein equations with cosmological constant
title_sort self-consistent solutions of the semiclassical einstein equations with cosmological constant
url http://hdl.handle.net/20.500.12110/paper_00017701_v25_n10_p979_Chimento
work_keys_str_mv AT chimentolp selfconsistentsolutionsofthesemiclassicaleinsteinequationswithcosmologicalconstant
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