The Avoidance of the Little Sibling of the Big Rip Abrupt Event by a Quantum Approach

We address the quantisation of a model that induces the Little Sibling of the Big Rip (LSBR) abrupt event, where the dark energy content is described by means of a phantom-like fluid or a phantom scalar field. The quantisation is done in the framework of the Wheeler–DeWitt (WDW) equation and imposin...

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Detalhes bibliográficos
Autores: Albarran, Imanol, Bouhmadi-López, Mariam, Cabral, Franciso, Martín Moruno, María Del Prado
Formato: artículo
Fecha de publicación:2018
País:España
Recursos:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/12543
Acesso em linha:https://hdl.handle.net/20.500.14352/12543
Access Level:acceso abierto
Palavra-chave:dark energy
cosmological singularities
quantum cosmology
Teoría de los quanta
2210.23 Teoría Cuántica
Descrição
Resumo:We address the quantisation of a model that induces the Little Sibling of the Big Rip (LSBR) abrupt event, where the dark energy content is described by means of a phantom-like fluid or a phantom scalar field. The quantisation is done in the framework of the Wheeler–DeWitt (WDW) equation and imposing the DeWitt boundary condition; i.e., the wave function vanishes close to the abrupt event. We analyse the WDW equation within two descriptions: First, when the dark energy content is described with a perfect fluid. This leaves the problem with the scale factor as the single degree of freedom. Second, when the dark energy content is described with a phantom scalar field in such a way that an additional degree of freedom is incorporated. Here, we have applied the Born–Oppenheimer (BO) approximation in order to simplify the WDW equation. In all cases, the obtained wave function vanishes when the LSBR takes place, thus fulfilling the DeWitt boundary condition.