Two 3-Branes in Randall-Sundrum Setup and Current Acceleration of the Universe

Abstract

Five-dimensional spacetimes of two orbifold 3-branes are studied, by assuming that {\em the two 3-branes are spatially homogeneous, isotropic, and independent of time}, following the so-called "bulk-based" approach. The most general form of the metric is obtained, and the corresponding field equations are divided into three groups, one is valid on each of the two 3-branes, and the third is valid in the bulk. The Einstein tensor on the 3-branes is expressed in terms of the discontinuities of the first-order derivatives of the metric coefficients. Thus, once the metric is known in the bulk, the distribution of the Einstein tensor on the two 3-branes is uniquely determined. As applications, we consider two different cases, one is in which the bulk is locally $Ad{S}_5$, and the other is where it is vacuum. In some cases, it is shown that the universe is first decelerating and then accelerating. The global structure of the bulk as well as the 3-branes is also studied, and found that in some cases the solutions may represent the collision of two orbifold 3-branes. The applications of the formulas to the studies of the cyclic universe and the cosmological constant problem are also pointed out.

revtex4, 14 figures, published in Nucl. Phys. B797 (2008) 395 - 430

References in corpus (12)

• The Cosmological Constant and the String Landscape
• Why the cosmological constant is small and positive
• TASI Lectures on Extra Dimensions and Branes
• Cosmological Surprises from Braneworld models of Dark Energy
• On the Transfer of Metric Fluctuations when Extra Dimensions Bounce or Stabilize
• Collision of Domain Walls in asymptotically Anti de Sitter spacetime
• A Briefing on the Ekpyrotic/Cyclic Universe
• Brane-world cosmology
• Pedagogical Introduction to Extra Dimensions
• Top Pair Production in Randall-Sundrum Models
• Radion stabilization with(out) Gauss-Bonnet interactions and inflation
• High-energy effective theory for orbifold branes

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• The cosmological constant in the brane world of string theory on $S^1/Z_2$
• Late transient acceleration of the universe in string theory on $S^1/Z_2$
• Brane cosmology in the Horava-Witten heterotic M-Theory on $S^1/Z_2$
• Particle creation in the presence of a warped extra dimension
• The hierarchy problem, radion mass, localization of gravity and 4D effective Newtonian potential in string theory on $S^1/Z_2$
• Colliding branes and formation of spacetime singularities in string theory
• Orbifold Branes in the $M_D\times M_{d^{+}}\times M_{d^{-}}$ Compactification of type II string on $S^1/Z_2$ and their cosmological applications
• Formation and evolution of a 2-brane structure in multidimensional $f(R)$ gravity