Gauss–Bonnet models with cosmological constant and non zero spatial curvature in D= 4

In the present paper the possibility of eternal universes in Gauss-Bonnet theories of gravity in four dimensions is analysed. It is shown that, for zero spatial curvature and zero cosmological constant, if the coupling is such that 0<f≤cexp(810ϕ), then there are solutions that are eternal. Simila...

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Publicado: 2018
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14346044_v78_n2_p_Armaleo
http://hdl.handle.net/20.500.12110/paper_14346044_v78_n2_p_Armaleo
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paper:paper_14346044_v78_n2_p_Armaleo2023-06-08T16:15:23Z Gauss–Bonnet models with cosmological constant and non zero spatial curvature in D= 4 In the present paper the possibility of eternal universes in Gauss-Bonnet theories of gravity in four dimensions is analysed. It is shown that, for zero spatial curvature and zero cosmological constant, if the coupling is such that 0<f≤cexp(810ϕ), then there are solutions that are eternal. Similar conclusions are found when a cosmological constant turned on. These conclusions are not generalized for the case when the spatial curvature is present, but we are able to find some general results about the possible nature of the singularities. The presented results correct some dubious arguments in Santillan (JCAP 7:008, 2017), although the same conclusions are reached. On the other hand, these past results are considerably generalized to a wide class of situations which were not considered in Santillan (JCAP 7:008, 2017). © 2018, The Author(s). 2018 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14346044_v78_n2_p_Armaleo http://hdl.handle.net/20.500.12110/paper_14346044_v78_n2_p_Armaleo
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description In the present paper the possibility of eternal universes in Gauss-Bonnet theories of gravity in four dimensions is analysed. It is shown that, for zero spatial curvature and zero cosmological constant, if the coupling is such that 0<f≤cexp(810ϕ), then there are solutions that are eternal. Similar conclusions are found when a cosmological constant turned on. These conclusions are not generalized for the case when the spatial curvature is present, but we are able to find some general results about the possible nature of the singularities. The presented results correct some dubious arguments in Santillan (JCAP 7:008, 2017), although the same conclusions are reached. On the other hand, these past results are considerably generalized to a wide class of situations which were not considered in Santillan (JCAP 7:008, 2017). © 2018, The Author(s).
title Gauss–Bonnet models with cosmological constant and non zero spatial curvature in D= 4
spellingShingle Gauss–Bonnet models with cosmological constant and non zero spatial curvature in D= 4
title_short Gauss–Bonnet models with cosmological constant and non zero spatial curvature in D= 4
title_full Gauss–Bonnet models with cosmological constant and non zero spatial curvature in D= 4
title_fullStr Gauss–Bonnet models with cosmological constant and non zero spatial curvature in D= 4
title_full_unstemmed Gauss–Bonnet models with cosmological constant and non zero spatial curvature in D= 4
title_sort gauss–bonnet models with cosmological constant and non zero spatial curvature in d= 4
publishDate 2018
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14346044_v78_n2_p_Armaleo
http://hdl.handle.net/20.500.12110/paper_14346044_v78_n2_p_Armaleo
_version_ 1768542954421485568

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