Warped Geometry in Higher Dimensions with an Orbifold Extra Dimension

Abstract

We solve the Einstein equations in higher dimensions with warped geometry where an extra dimension is assumed to have orbifold symmetry $S^1/Z_2$. The setup considered here is an extension of the five-dimensional Randall-Sundrum model to $5+D$ dimensions, and hidden and observable branes are fixed on the orbifold. It is assumed that the brane tension (self-energy) of each brane with $(4+D)$-dimensional spacetime is anisotropic and that the warped metric function of the four dimensions is generally different from that of the extra $D$ dimensions. We point out that the forms of the warped metric functions and the relations between the tensions of two branes depend on the integration constant appearing in the Einstein equations as well as on the sign of the bulk cosmological constant.

20 pages, no figure, final version in PRD 15 Dec 2001

References in corpus (1)

• (De)Stabilization of an extra dimension due to a Casimir force

Cited by in corpus (13)

• Cosmological and black hole brane-world Universes in higher derivative gravity
• Curvature of Multiply Warped Products
• Newton's law in braneworlds with an infinite extra dimension
• Localized gravity on de Sitter brane in five dimensions
• Scalar potential from de Sitter brane in 5D and effective cosmological constant
• Various Types of Five-Dimensional Warp Factor and Effective Planck Scale
• Five-Dimensional Warped Geometry with a Bulk Scalar Field
• Curvature in Special Base Conformal Warped Products
• Linearized gravity in flat braneworlds with anisotropic brane tension
• Scalar Hair of Global Defect and Black Brane World
• Geometrical and hydrodynamic aspects of five-dimensional Schwarzschild black hole
• Cosmological constant and curved 5D geometry
• Nonlinear wave propagation in large extra spatial dimensions and the blackbody thermal laws