### Abstract

We study the dynamics of topological defects in the context of "topological inflation" proposed by Vilenkin and Linde independently. Analyzing the time evolution of planar domain walls and of global monopoles, we find that the defects undergo inflationary expansion if η ≳ 0.33m_{P1}, where η is the vacuum expectation value of the Higgs field and m_{P1} is the Planck mass. This result confirms the estimates by Vilenkin and Linde. The critical value of η is independent of the coupling constant λ 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 η 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.

Original language | English |
---|---|

Pages (from-to) | 655-661 |

Number of pages | 7 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 53 |

Issue number | 2 |

Publication status | Published - 1996 Jan 15 |

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### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)

### Cite this

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*53*(2), 655-661.

**Dynamics of topological defects and inflation.** / Sakai, Nobuyuki; Shinkai, Hisa Aki; Tachizawa, Takashi; Maeda, Keiichi.

Research output: Contribution to journal › Article

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 53, no. 2, pp. 655-661.

}

TY - JOUR

T1 - Dynamics of topological defects and inflation

AU - Sakai, Nobuyuki

AU - Shinkai, Hisa Aki

AU - Tachizawa, Takashi

AU - Maeda, Keiichi

PY - 1996/1/15

Y1 - 1996/1/15

N2 - We study the dynamics of topological defects in the context of "topological inflation" proposed by Vilenkin and Linde independently. Analyzing the time evolution of planar domain walls and of global monopoles, we find that the defects undergo inflationary expansion if η ≳ 0.33mP1, where η is the vacuum expectation value of the Higgs field and mP1 is the Planck mass. This result confirms the estimates by Vilenkin and Linde. The critical value of η is independent of the coupling constant λ 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 η 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.

AB - We study the dynamics of topological defects in the context of "topological inflation" proposed by Vilenkin and Linde independently. Analyzing the time evolution of planar domain walls and of global monopoles, we find that the defects undergo inflationary expansion if η ≳ 0.33mP1, where η is the vacuum expectation value of the Higgs field and mP1 is the Planck mass. This result confirms the estimates by Vilenkin and Linde. The critical value of η is independent of the coupling constant λ 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 η 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.

UR - http://www.scopus.com/inward/record.url?scp=0001468081&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001468081&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0001468081

VL - 53

SP - 655

EP - 661

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 0556-2821

IS - 2

ER -