Dilaton gravity on the brane

Kei Ichi Maeda*, David Wands

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

167 Citations (Scopus)


We derive the four-dimensional field equations for the induced metric and scalar field on the world-volume of a 3-brane in a five-dimensional bulk with Einstein gravity plus a self-interacting scalar field. We calculate the effective four-dimensional gravitational constant and cosmological constant for arbitrary forms of the brane tension and self-interaction potential for the scalar field in the bulk. In addition to the canonical energy-momentum tensor for the scalar field and ordinary matter on the brane, the effective four-dimensional Einstein equations include terms due to the scalar field and gravitational waves in the bulk. We present solutions corresponding to static Minkowski brane worlds and also dynamical Friedmann-Robertson-Walker brane world cosmologies. We discuss the induced coupling of the scalar field to ordinary matter on the brane.

Original languageEnglish
Article number124009
Pages (from-to)1-9
Number of pages9
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number12
Publication statusPublished - 2000 Dec 15
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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