TY - JOUR

T1 - Single-brane cosmological solutions with a stable compact extra dimension

AU - Kanti, Panagiota

AU - Kogan, Ian I.

AU - Olive, Keith A.

AU - Pospelov, Maxim

PY - 2000

Y1 - 2000

N2 - We consider 5-dimensional cosmological solutions of a single brane. The correct cosmology on the brane, i.e., governed by the standard 4-dimensional Friedmann equation, and stable compactification of the extra dimension is guaranteed by the existence of a nonvanishing (Formula presented) which is proportional to the 4-dimensional trace of the energy-momentum tensor. We show that this component of the energy-momentum tensor arises from the back reaction of the dilaton coupling to the brane. The same positive features are exhibited in solutions found in the presence of nonvanishing cosmological constants both on the brane (Formula presented) and in the bulk (Formula presented) Moreover, the restoration of the Friedmann equation, with the correct sign, takes place for both signs of (Formula presented) so long as the sign of (Formula presented) is opposite (Formula presented) in order to cancel the energy densities of the two cosmological constants. We further extend our single-brane thin-wall solution to allow a brane with finite thickness.

AB - We consider 5-dimensional cosmological solutions of a single brane. The correct cosmology on the brane, i.e., governed by the standard 4-dimensional Friedmann equation, and stable compactification of the extra dimension is guaranteed by the existence of a nonvanishing (Formula presented) which is proportional to the 4-dimensional trace of the energy-momentum tensor. We show that this component of the energy-momentum tensor arises from the back reaction of the dilaton coupling to the brane. The same positive features are exhibited in solutions found in the presence of nonvanishing cosmological constants both on the brane (Formula presented) and in the bulk (Formula presented) Moreover, the restoration of the Friedmann equation, with the correct sign, takes place for both signs of (Formula presented) so long as the sign of (Formula presented) is opposite (Formula presented) in order to cancel the energy densities of the two cosmological constants. We further extend our single-brane thin-wall solution to allow a brane with finite thickness.

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U2 - 10.1103/PhysRevD.61.106004

DO - 10.1103/PhysRevD.61.106004

M3 - Article

AN - SCOPUS:17144362868

SN - 1550-7998

VL - 61

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

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

IS - 10

ER -