Dynamics of Topological Defects and Inflation

Details Dynamics of Topological Defects and Inflation Dynamics of Topological Defects and Inflation

1995-06-28

arxiv.org/abs/gr-qc/9506068v3

Phys.Rev.D53:655,1996; Erratum-ibid.D54:2981,1996

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, revtex, 13 figures, some discussions are modified, to appear in Phys.Rev.D

Scientific paper

10.1103/PhysRevD.53.655 10.1103/

We study the dynamics of topological defects in the context of ``topological inflation" proposed by Vilenkin and Linde independently. Analysing the time evolution of planar domain walls and of global monopoles, we find that the defects undergo inflationary expansion if $\eta\stackrel{>}{\sim}0.33m_{Pl}$, where $\eta$ is the vacuum expectation value of the Higgs field and $m_{Pl}$ is the Planck mass. This result confirms the estimates by Vilenkin and Linde. The critical value of $\eta$ is independent of the coupling constant $\lambda$ and the initial size of the defect. Even for defects with an initial size much greater than the horizon scale, inflation does not occur at all if $\eta$ is smaller than the critical value. We also examine the effect of gauge fields for static monopole solutions and find that the spacetime with a gauge monopole has an attractive nature, contrary to the spacetime with a global monopole. It suggests that gauge fields affect the onset of inflation.

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