Sunnyeo Lee et al 2009 Class. Quantum Grav. 26 245002 doi:10.1088/0264-9381/26/24/245002
Static brane solutions stabilized by nonlinear bulk scalar dynamics
Sunnyeo Lee1, Tae Hoon Lee1, Joohan Lee2 and Phillial Oh3
Show affiliationsWe study a nonlinear sigma-model-like theory of a bulk scalar field coupled to the five-dimensional Einstein gravity with a negative cosmological constant. We determine the structure of the non-factorizable spacetime which our Minkowskian brane bounds, when the pressure in the extra dimension is proportional to the energy density of the scalar field as 
with a constant ω5. With these static solutions clarified by the parameter ω5, we fix the size of the extra dimension in terms of the bulk and brane potentials of the scalar field, imposing the stability condition in the cases of the 2-branes. The hierarchy problem is discussed in their Randall–Sundrum-like limit, and one of the static solutions obtained in the case of a strong bulk potential ω5 < 0 is interpreted as a thick 1-brane model.
- PACS
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04.50.-h Higher-dimensional gravity and other theories of gravity
- MSC
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85A40 Cosmology (For relativistic cosmology, see 83F05)
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
- Subjects
- Dates
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Issue 24 (21 December 2009)
Received 28 August 2009, in final form 19 October 2009
Published 16 November 2009
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Static brane solutions stabilized by nonlinear bulk scalar dynamics
Sunnyeo Lee et al 2009 Class. Quantum Grav. 26 245002
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