Zeta functions in brane world cosmology

Antonino Flachi, Alan Knapman, Wade Naylor, Misao Sasaki

研究成果: Article査読

22 被引用数 (Scopus)

抄録

We present a calculation of the zeta function and of the functional determinant for a Laplace-type differential operator, corresponding to a scalar field in a higher-dimensional de Sitter brane back ground, which consists of a higher-dimensional anti de Sitter bulk spacetime bounded by a de Sitter section, representing a brane. Contrary to the existing examples, which all make use of conformal transformations, we evaluate the zeta function working directly with the higher-dimensional wave operator. We also consider a generic mass term and coupling to curvature, generalizing previous results. The massless, conformally coupled case is obtained as a limit of the general result and compared with known calculations. In the limit of large anti de Sitter radius, the zeta determinant for the ball is recovered in perfect agreement with known expressions, providing an interesting check of our result and an alternative way of obtaining the ball determinant.

本文言語English
論文番号124011
ページ(範囲)124011-1-124011-13
ジャーナルPhysical Review D - Particles, Fields, Gravitation and Cosmology
70
12
DOI
出版ステータスPublished - 2004 12月
外部発表はい

ASJC Scopus subject areas

  • 物理学および天文学(その他)

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