Evolution of Topological Defects During Inflation

Abstract

Topological defects can be formed during inflation by phase transitions as well as by quantum nucleation. We study the effect of the expansion of the Universe on the internal structure of the defects. We look for stationary solutions to the field equations, i.e. solutions that depend only on the proper distance from the defect core. In the case of very thin defects, whose core dimensions are much smaller than the de Sitter horizon, we find that the solutions are well approximated by the flat space solutions. However, as the flat space thickness parameter ${\delta }_0$ increases we notice a deviation from this, an effect that becomes dramatic as ${\delta }_0$ approaches $(H{)}^{-1}/\sqrt{2}$. Beyond this critical value we find no stationary solutions to the field equations. We conclude that only defects that have flat space thicknesses less than the critical value survive, while thicker defects are smeared out by the expansion.

14 pages

Cited by in corpus (36)

• Modular Cosmology
• Beyond the Standard Models with Cosmic Strings
• Recycling universe
• Natural New Inflation in Broken Supergravity
• Black holes on thick branes
• Gravitating Global k-monopole
• Thick domain wall universes
• Quasi-open inflation
• Global Monopole in Asymptotically dS/AdS Spacetime
• Static Gravitational Global Monopoles
• Global Monopole in General Relativity
• Symmetry breaking and the Goldstone theorem in de Sitter space
• Exciting the Domain Wall Soliton
• Noncompact Kaluza-Klein theory and inflationary cosmology: a complete formalism
• Large scale CMB anomalies from thawing cosmic strings
• Geodesics motion of test particles around Schwarzschild-Klinkhamer wormhole with topological defects and gravitational lensing
• A topologically charged four-dimensional wormhole and the energy conditions
• Solitons as Key Parts to Produce a Universe in the Laboratory
• The global monopole spacetime and its topological charge
• Global monopole surrounded by quintessence-like matter
• Separated matter and antimatter domains with vanishing domain walls
• Quantum fluctuations in planar domain-wall space-times: A possible origin of primordial preferred direction
• Evolution of thick domain walls in de Sitter universe
• Vortices and black holes in dilatonic gravity
• Symmetry breaking in de Sitter: a stochastic effective theory approach
• Electromagnetic vacuum fluctuations around a cosmic string in de Sitter spacetime
• p-brane dynamics in N+1-dimensional FRW universes
• Effects of Inflation on a Cosmic String Loop Population
• Domain walls in Horndeski gravity
• Domain Walls in a FRW Universe
• Quantum cosmology, eternal inflation, and swampland conjectures
• Gravitating tensor monopole in a Lorentz-violating field theory
• Evolution of thick domain walls in inflationary and $p=w\rho$ universe
• Higher-dimensional topologically charged traversable defect wormhole with non-exotic matter
• Features of Motion Around Global Monopole in Asymptotically dS/AdS Spacetime
• Electromagnetic vacuum densities induced by a cosmic string