The existence of smooth solutions in q-models

The q-models are scenarios that may explain the smallness of the cosmological constant (Klinkhamer and Volovik in Phys Rev D 77:085015, 2008; Phys Rev D 78:063528, 2008; JETP Lett 88:289, 2008; Mod Phys Lett A 31(28):1650160, 2016; JETP Lett 91:259, 2010; Phys Rev D 79:063527, 2009; J Phys Conf Ser...

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Detalles Bibliográficos
Publicado: 2019
Materias:
Alternative gravity theories
Cauchy problem
Cosmological constant
Global hyperbolic spaces
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00017701_v51_n2_p_Morales
http://hdl.handle.net/20.500.12110/paper_00017701_v51_n2_p_Morales
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00017701_v51_n2_p_Morales
record_format dspace
spelling paper:paper_00017701_v51_n2_p_Morales2023-06-08T14:21:40Z The existence of smooth solutions in q-models Alternative gravity theories Cauchy problem Cosmological constant Global hyperbolic spaces The q-models are scenarios that may explain the smallness of the cosmological constant (Klinkhamer and Volovik in Phys Rev D 77:085015, 2008; Phys Rev D 78:063528, 2008; JETP Lett 88:289, 2008; Mod Phys Lett A 31(28):1650160, 2016; JETP Lett 91:259, 2010; Phys Rev D 79:063527, 2009; J Phys Conf Ser 314:012004, 2011). The vacuum in these theories is presented as a self-sustainable medium and include a new degree of freedom, the q-variable, which establishes the equilibrium of the quantum vacuum. In the present work, the Cauchy formulation for these models is studied in detail. It is known that there exist some limits in which these theories are described by an F(R) gravity model, and these models posses a well posed Cauchy problem. This paper shows that the Cauchy problem is well posed even not reaching this limit. By use of some mathematical theorems about second order non linear systems, it is shown that these scenarios admit a smooth solution for at least a finite time when some specific type of initial conditions are imposed. Some technical conditions of Ringstrom (The Cauchy problem in general relativity, European Mathematical Society, Warsaw, 2000) play an important role in this discussion. © 2019, Springer Science+Business Media, LLC, part of Springer Nature. 2019 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00017701_v51_n2_p_Morales http://hdl.handle.net/20.500.12110/paper_00017701_v51_n2_p_Morales
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Alternative gravity theories
Cauchy problem
Cosmological constant
Global hyperbolic spaces
spellingShingle Alternative gravity theories
Cauchy problem
Cosmological constant
Global hyperbolic spaces
The existence of smooth solutions in q-models
topic_facet Alternative gravity theories
Cauchy problem
Cosmological constant
Global hyperbolic spaces
description The q-models are scenarios that may explain the smallness of the cosmological constant (Klinkhamer and Volovik in Phys Rev D 77:085015, 2008; Phys Rev D 78:063528, 2008; JETP Lett 88:289, 2008; Mod Phys Lett A 31(28):1650160, 2016; JETP Lett 91:259, 2010; Phys Rev D 79:063527, 2009; J Phys Conf Ser 314:012004, 2011). The vacuum in these theories is presented as a self-sustainable medium and include a new degree of freedom, the q-variable, which establishes the equilibrium of the quantum vacuum. In the present work, the Cauchy formulation for these models is studied in detail. It is known that there exist some limits in which these theories are described by an F(R) gravity model, and these models posses a well posed Cauchy problem. This paper shows that the Cauchy problem is well posed even not reaching this limit. By use of some mathematical theorems about second order non linear systems, it is shown that these scenarios admit a smooth solution for at least a finite time when some specific type of initial conditions are imposed. Some technical conditions of Ringstrom (The Cauchy problem in general relativity, European Mathematical Society, Warsaw, 2000) play an important role in this discussion. © 2019, Springer Science+Business Media, LLC, part of Springer Nature.
title The existence of smooth solutions in q-models
title_short The existence of smooth solutions in q-models
title_full The existence of smooth solutions in q-models
title_fullStr The existence of smooth solutions in q-models
title_full_unstemmed The existence of smooth solutions in q-models
title_sort existence of smooth solutions in q-models
publishDate 2019
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00017701_v51_n2_p_Morales
http://hdl.handle.net/20.500.12110/paper_00017701_v51_n2_p_Morales
_version_ 1768543873030684672

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