A cigar-like Universe

Abstract

We study the localization of gravity on a string-like topological defect within a 6-dimensional space-time. Assuming zero cosmological constant we find complete numerical solutions to a set of first-order, Bogomol'nyi-Prasad-Sommeferld (BPS)-like, equations for the metric and the scalar field, where the dynamics of the latter are dictated by a supergravity-type potential. Our axially symmetric solutions have no deficit angle and factorize as $Ad{S}_5\times S_1$ far from the core. They are regular everywhere, providing complete smooth cigar-like geometries. The total energy of these configurations depends only on the boundary conditions for the warp factor and it is shown to vanish.

17 pages, 8 figures

References in corpus (7)

• Towards a Naturally Small Cosmological Constant from Branes in 6D Supergravity
• Warped Brane Worlds in Six Dimensional Supergravity
• Codimension Two Compactifications and the Cosmological Constant Problem
• Cosmology of codimension-two braneworlds
• Selftuning and its footprints
• Sidestepping the Cosmological Constant with Football-Shaped Extra Dimensions
• Brane in 6D with increasing gravitational trapping potential

Cited by in corpus (17)

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• Effective Theory on Non-Abelian Vortices in Six Dimensions
• Gauge vector field localization on 3-brane placed in a warped transverse resolved conifold
• Fermionic Kaluza-Klein modes in the string-cigar braneworld
• Scalar field localization on 3-branes placed at a warped resolved conifold
• Conservation equation on braneworlds in six dimensions
• Gravity localization in a string-cigar braneworld
• Bubbles from Nothing
• Gauge fields in a string-cigar braneworld
• Gravitational Kaluza-Klein modes in the String-Cigar Braneworld
• A 6D standing-wave Braneworld with normal matter as source
• A smoothed string-like braneworld in six dimensions
• Regular compactifications and Higgs model vortices
• A Brane model with two asymptotic regions