n-dimensional FLRW quantum cosmology

Autor(es)

Letelier, Patricio S. ^[1] ; Pitelli, Joao Paulo M. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Estadual Campinas, Dept Matemat Aplicada IMECC, BR-13081970 Campinas, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Physical Review D; v. 82, n. 10 NOV 23 2010.
• Citações Web of Science: 16

Resumo

We introduce the formalism of quantum cosmology in a Friedmann-Lemaitre-Robertson-Walker (FLRW) universe of arbitrary dimension filled with a perfect fluid with p = alpha rho equation of state. First we show that the Schutz formalism, developed in four dimensions, can be extended to a n-dimensional universe. We compute the quantum representant of the scale factor a(t), in the Many-Worlds, as well as, in the de Broglie-Bohm interpretation of quantum mechanics. We show that the singularities, which are still present in the n-dimensional generalization of FLRW universe, are excluded with the introduction of quantum theory. We quantize, via the de Broglie-Bohm interpretation of quantum mechanics, the components of the Riemann curvature tensor in a tetrad basis in a n-dimensional FLRW universe filled with radiation (p = 1/n-1 rho). We show that the quantized version of the Ricci scalar are perfectly regular for all time t. We also study the behavior of the energy density and pressure and show that the ratio < p > L/<rho > L tends to the classical value 1/(n - 1) only for n = 4, showing that n = 4 is somewhat privileged among the other dimensions. Besides that, as n -> infinity, < p > L/<rho > L -> 1. (AU)

• Processo FAPESP: 08/01310-5 - Singularidades quânticas
• Beneficiário: João Paulo Pitelli Manoel
• Modalidade de apoio: Bolsas no Brasil - Doutorado
• Processo FAPESP: 09/54572-0 - Buracos negros e estruturas auto-gravitantes: integrabilidade, estabilidade e caos
• Beneficiário: Patricio Anibal Letelier Sotomayor
• Modalidade de apoio: Auxílio à Pesquisa - Temático