Construction of Multiple Spherical Branes Cosmological Scenario

Abstract

The general solution of Einstein's gravity equation in $D$ dimensions for an anisotropic and spherically symmetric matter distribution is calculated in a bulk with position dependent cosmological constant. Results for $n$ concentric $(D-2)-$branes with arbitrary mass, radius and pressure with different cosmological constant between branes are found. It is shown how the difference between the cosmological constant contributes to the effective mass of each brane, and it is also shown that the equation of state for each brane influences the dynamics of branes, which can be divided into eras according to the dominant matter. This scenario can be used to model the universe in the D=5 case, which may presents a richer phenomenology than the current models. The evolution law of the branes is studied, and the anisotropic pressure that remove divergences is found. The Randall-Sundrum metric in an outside region in the flat branes limit is also derived.

8 pages

References in corpus (7)

• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• Cosmological Results from High-z Supernovae
• New Constraints on ${\Omega }_M$, ${\Omega }_{\Lambda }$, and w from an Independent Set of Eleven High-Redshift Supernovae Observed with HST
• Dodecahedral space topology as an explanation for weak wide-angle temperature correlations in the cosmic microwave background
• Quantum cosmology of the brane universe
• Acceleration of a Spherical Brane-Universe
• Speed Limit on the brane

Cited by in corpus (7)

• Solutions to the problem of ELKO spinor localization in brane models
• Traversable Casimir Wormholes in D Dimensions
• Regular Bulk Solutions in Brane-worlds with Inhomogeneous Dust and Generalized Dark Radiation
• Dynamical Foundations of the Brane Induced Gravity
• Gauge Field Emergence from Kalb-Ramond Localization
• Massive $p$-form trapping as a $p$-form on a brane
• Cosmologies of Multiple Spherical Brane-universe Model