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Some remarks on gravitational global monopoles

Aug, 1999

10 pages

Published in:

Phys.Rev.Lett. 83 (1999) 5218-5221

e-Print:

gr-qc/9908038 [gr-qc]

DOI:

10.1103/PhysRevLett.83.5218

Report number:

MPI-PHT-99-31,
LIU-SC-TCSG-7-1999-005,
NSF-ITP-99-088

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Abstract: (arXiv)

Using mainly analytical arguments, we derive the exact relation

\eta_{max}=\sqrt{3/8\pi}

for the maximal vacuum value of the Higgs field for static gravitational global monopoles. For this value, the global monopole bifurcates with the de Sitter solution obtained for vanishing Higgs field. In addition, we analyze the stability properties of the solutions.

gravitation: monopole
Higgs model
bifurcation
space-time: de Sitter
field equations: solution
stability: linear
space-time: perturbation
numerical calculations

References(6)

Figures(0)

Static gravitational global monopoles

Steven L. Liebling
(
- Long Island U., Southampton
)

- Phys.Rev.D 61 (2000) 024030
•
e-Print:
- gr-qc/9906014
•
DOI:
- 10.1103/PhysRevD.61.024030

Monopoles as big as a universe

Andrei D. Linde
(
- Stanford U., Phys. Dept.
)

- Phys.Lett.B 327 (1994) 208-213
•
e-Print:
- astro-ph/9402031
•
DOI:
- 10.1016/0370-2693(94)90719-6

Topological inflation

Alexander Vilenkin
(
- MIT, LNS
)

- Phys.Rev.Lett. 72 (1994) 3137-3140
•
e-Print:
- hep-th/9402085
•
DOI:
- 10.1103/PhysRevLett.72.3137

Critical phenomena inside global monopoles

Steven L. Liebling
(
- Long Island U., Southampton
)

- Phys.Rev.D 60 (1999) 061502
•
e-Print:
- gr-qc/9904077
•
DOI:
- 10.1103/PhysRevD.60.061502

Stability of nonAbelian black holes and catastrophe theory

- Phys.Rev.Lett. 72 (1994) 450-453
•
e-Print:
- gr-qc/9310015
•
DOI:
- 10.1103/PhysRevLett.72.450

On the stability of gravitating nonAbelian monopoles

Helia Hollmann
(
- Munich, Max Planck Inst.
)

- Phys.Lett.B 338 (1994) 181-186
•
e-Print:
- gr-qc/9406018
•
DOI:
- 10.1016/0370-2693(94)91364-1