Adding Matter to Poincare Invariant Branes

Abstract

A solution to the cosmological constant problem has been proposed in which our universe is a 3-brane in a 5-dimensional spacetime. With a bulk scalar, the field equations admit a Poincare invariant brane solution regardless of the value of the cosmological constant (tension) on the brane. However, the solution does not include matter in the brane. We find new exact static solutions with matter density and pressure in the brane. We study small perturbations about these solutions. None seem consistent with observational cosmology. As a byproduct we find a class of new matterless static solutions and a non-static solution which, curiously, requires the string value for the dilaton coupling.

20 pages, section on perturbations revised, conclusions unchanged

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Cited by in corpus (24)

• Gravitational Lorentz Violations and Adjustment of the Cosmological Constant in Asymmetrically Warped Spacetimes
• The Cosmological Constant Problem from a Brane-World Perspective
• Cosmological expansion on a dilatonic brane-world
• (De)Stabilization of an extra dimension due to a Casimir force
• Brane-World Cosmology of Modulus Stabilization with a Bulk Scalar Field
• Moduli fields and brane tensions: generalizing the junction conditions
• Solving the Hierarchy Problem in Two-Brane Cosmological Models
• Can we live in a self-tuning universe?
• Strings, Branes and Extra Dimensions
• On ekpyrotic brane collisions
• Stable, Time-Dependent, Exact Solutions for Brane Models with a Bulk Scalar Field
• On a Covariant Determination of Mass Scales in Warped Backgrounds
• Brane World Dynamics and Conformal Bulk Fields
• Little String Theories in Heterotic Backgrounds
• Radion Stabilization by Brane Matter
• Hubble Law and Brane Matter after Ekpyrosis
• Constraints on brane and bulk ideal fluid in Randall-Sundrum cosmologies
• Brans-Dicke DGP Brane Cosmology
• Brane cosmology in teleparallel and $f(T)$ gravity
• A primer on the ekpyrotic scenario
• DGP brane cosmology and quark-hadron phase transition
• The Cosmological Constant and the Brane World Scenario
• Standard Cosmology on a Self-Tuning Domain Wall
• Dark Energy in Extra Dimensions and String Theory: Consistency Conditions