info:eu-repo/semantics/article
The existence of smooth solutions in q-models
Fecha
2019-02Registro en:
Osorio Morales, Maria Juliana; Santillán, Osvaldo Pablo; The existence of smooth solutions in q-models; Springer/Plenum Publishers; General Relativity And Gravitation; 51; 2; 2-2019; 1-18
0001-7701
CONICET Digital
CONICET
Autor
Osorio Morales, Maria Juliana
Santillán, Osvaldo Pablo
Resumen
The q-models are scenarios that may explain the smallness of the cosmological constant [1]-[7]. The vacuum in these theories is presented as a self-sustainable medium and include a new degree of freedom, the q-variable, which stablish the equilibrium of the quantum vacuum. In the present work, the Cauchy formulation for these models is studied. It has been already noted that there exist some limits where these theories are described by an F(R) model, which posses a well formulated 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 [11] play an important role in this discussion.