Bouncing Negative-Tension Branes

Abstract

Braneworlds, understood here as double domain wall spacetimes, can be described in terms of a linear harmonic function, with kinks at the locations of the boundary branes. In a dynamical setting, there is therefore the risk that the boundary brane of negative tension, at whose location the value of the harmonic function is always lowest, can encounter a zero of this harmonic function, corresponding to the formation of a singularity. We show that for certain types of brane-bound matter this singularity can be avoided, and the negative-tension brane can shield the bulk spacetime from the singularity by bouncing back smoothly before reaching the singularity. In our analysis we compare the 5- and 4-dimensional descriptions of this phenomenon in order to determine the validity of the moduli space approximation.

20 pages, 1 figure, discussion extended and references added; minor mistake corrected

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• Cosmic Bounces and Cyclic Universes
• Ekpyrotic Non-Gaussianity -- A Review
• Multifield Cosmological Perturbations at Third Order and the Ekpyrotic Trispectrum
• Null fluid collapse in brane world models
• Cyclic Universes from General Collisionless Braneworld Models
• Dark Energy and the Return of the Phoenix Universe
• Non-Gaussianity Generated by the Entropic Mechanism in Bouncing Cosmologies Made Simple
• Modulated Perturbations from Instant Preheating after new Ekpyrosis
• The vacuum bubbles in de Sitter background and black hole pair creation
• Converting entropy to curvature perturbations after a cosmic bounce
• The Non-Minimal Ekpyrotic Trispectrum
• Diversity in the Phoenix Universe
• The Raychaudhuri equation for a quantized timelike geodesic congruence
• Dynamical Selection of the Primordial Density Fluctuation Amplitude
• Quantum no-singularity theorem from geometric flows
• A classical, non-singular, bouncing universe
• On Newton's law in supersymmetric braneworld models
• Discreteness of time in the evolution of the universe
• A comment on $p$-branes of ($p+3$)$\mathrm{d}$ string theory
• Crossing the Big Bang singularity
• Instability of the Time Dependent Horava-Witten Model
• Cyclic completion of the anamorphic universe
• Classical Renormalization of Codimension-two Brane Couplings
• Bouncing and Colliding Branes
• Denouement of a Wormhole-Brane Encounter