Vortices in De Sitter Spacetimes

Abstract

We investigate vortex solutions to the Abelian Higgs field equations in a four dimensional de Sitter spacetime background. We obtain both static and dynamic solutions with axial symmetry that are generalizations of the Nielsen-Olesen gauge vortices in flat spacetime. The static solution is located in the static patch of de Sitter space. We numerically solve the field equations in an inflationary (big bang) patch and find a time dependent vortex soution, whose effect to create a deficit angle in the spacetime. We show that this solution can be interpreted in terms of a renormalization group flow in accord with a generalized {$c$}-theorem, providing evidence in favour of a dS/CFT correspondence.

14 pages, 8 figures, two figures changed, typos corrected, conclusions and two new figures added, version to appear in PLB

References in corpus (5)

• The dS/CFT Correspondence
• Inflation and the dS/CFT Correspondence
• Action, Mass and Entropy of Schwarzschild-de Sitter black holes and the de Sitter/CFT Correspondence
• Vortex Holography
• Abelian Higgs Hair for AdS-Schwarzschild Black Hole

Cited by in corpus (27)

• (Anti-) de Sitter Black Holes in higher derivative gravity and dual Conformal Field Theories
• Global Monopole in Asymptotically dS/AdS Spacetime
• Vacuum polarization by a cosmic string in de Sitter spacetime
• Strings in de Sitter space
• Rotating black hole hair
• Abelian Higgs Hair for a Static Charged Black String
• Fermionic vacuum polarization by a cosmic string in anti-de Sitter spacetime
• Fermionic vacuum polarization by a cosmic string in de Sitter spacetime
• Vacuum decay in the presence of a cosmic string
• Cosmological monopoles and non-abelian black holes
• Reissner-Nordstrom Black Holes and Thick Domain Walls
• Effect of a positive cosmological constant on cosmic strings
• Hairy rotating black string in the Einstein-Maxwell-Higgs system
• Vortex hair on AdS black holes
• Cosmic strings in a space-time with positive cosmological constant
• Non-Abelian cosmic strings in de Sitter and anti-de Sitter space
• Thick Domain Walls and Charged Dilaton Black Holes
• Ringdown Spectroscopy of Rotating Black Holes Pierced by Cosmic Strings
• Thick Domain Walls in AdS Black Hole Spacetimes
• Electromagnetic vacuum fluctuations around a cosmic string in de Sitter spacetime
• Big Bangs and Bounces on the Brane
• Some Exact Solutions for Maximally Symmetric Topological Defects in Anti de Sitter Space
• Electromagnetic vacuum densities induced by a cosmic string
• Dwelling on de Sitter
• Spacetime defects and group momentum space
• Two species of semi-local cosmic strings in Abelian gauged ${\mathbb{CP}}^2$-sigma models coupled to gravity
• Electromagnetic vacuum stresses and energy fluxes induced by a cosmic string in de Sitter spacetime