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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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 |
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R-134 |
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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 |
_version_ |
1807315629370245120 |