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Prog. Theor. Phys. Vol. 105 No. 4 (2001) pp. 591-606

[ Full Text PDF : FREE ACCESS (169K) ]

Radion on the de Sitter Brane

Uchida Gen1,2 and Misao Sasaki2

1Department of Earth and Space Science, Graduate School of Science
Osaka University, Toyonaka 560-0043, Japan
2Department of Physics, School of Science
University of Tokyo, Tokyo 113-0033, Japan

(Received December 6, 2000)

Abstract:

The radion on the de Sitter brane is investigated at the linear perturbation level, using the covariant curvature tensor formalism developed by Shiromizu, Maeda and Sasaki.[SMS] It is found that if there is only one de Sitter brane with positive tension, there is no radion, and thus ordinary Einstein gravity is recovered on the brane, with the exception of corrections due to the massive Kaluza-Klein modes. As a by-product of the covariant curvature tensor formalism, it is immediately seen that cosmological scalar, vector and tensor type perturbations all have the same Kaluza-Klein spectrum. On the other hand, if there are two branes, one with positive tension and another with negative tension, the gravity on each brane receives corrections from the radion mode in addition to the Kaluza-Klein modes, and the radion is found to have a negative mass-squared proportional to the curvature of the de Sitter brane. This is in contrast to the flat brane case, in which the radion mass vanishes and becomes degenerate with the 4-dimensional graviton modes. To relate our result with the metric perturbation approach, we derive the second-order action for the brane displacement. We find that the radion identified in our approach indeed corresponds to the relative displacement of the branes in the Randall-Sundrum gauge and describes the scalar curvature perturbations of the branes in Gaussian normal coordinates around the branes. The implications of our results with regard to the inflationary brane universe are briefly discussed.


URL : http://ptp.ipap.jp/link?PTP/105/591/
DOI : 10.1143/PTP.105.591

[ Full Text PDF : FREE ACCESS (169K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 108 No. 3 (2002) pp. 471-494 :
    Quantum Radion on de Sitter Branes
    Uchida Gen and Misao Sasaki
  2. Progress of Theoretical Physics Vol. 109 No. 3 (2003) pp. 357-369 :
    Born-Again Braneworld
    Sugumi Kanno, Misao Sasaki and Jiro Soda
  3. Progress of Theoretical Physics Vol. 110 No. 3 (2003) pp. 441-456 :
    Newton's Law on an Einstein “Gauss-Bonnet" Brane
    Nathalie Deruelle and Misao Sasaki
  4. Progress of Theoretical Physics Vol. 112 No. 3 (2004) pp. 451-473 :
    Linearized Gravity on the de Sitter Brane in the Einstein Gauss-Bonnet Theory
    Masato Minamitsuji and Misao Sasaki
  5. Progress of Theoretical Physics Vol. 113 No. 3 (2005) pp. 535-554 :
    Quantum Fluctuations for de Sitter Branes in Bulk AdS5
    Wade Naylor and Misao Sasaki
  6. Progress of Theoretical Physics Supplement No.148 (2002) pp. 213-234 :
    Brane-World Cosmological Perturbations
    Roy Maartens
  7. Progress of Theoretical Physics Supplement No.148 (2002) pp. 259-266 :
    Radion and Large Scale Anisotropy on the Brane
    Kazuya Koyama
  8. Progress of Theoretical Physics Supplement No.189 (2011) pp. 227-268 :
    Chapter 8. Black Holes in Braneworld Models
    Norihiro Tanahashi and Takahiro Tanaka

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