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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Detalles Bibliográficos
Autores: Albarran, Imanol, Bouhmadi López, Mariam, Cabral, Franciso, Martín Moruno, Prado
Tipo de recurso: artículo
Fecha de publicación:2018
País:España
Institución:Universidad del País Vasco
Repositorio:Addi. Archivo Digital para la Docencia y la Investigación
OAI Identifier:oai:addi.ehu.eus:10810/27723
Acceso en línea:http://hdl.handle.net/10810/27723
Access Level:acceso abierto
Palabra clave:dark energy
cosmological singularities
quantum cosmology
sudden future singularities
dark energy universe
equation-of-state
phantom energy
cosmology
gravity
field
supernovae
doomsday
behavior
Descripción
Sumario: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.