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Naked singularity and Gauss–Bonnet term in brane world scenarios

Authors
Journal
Nuclear Physics B
0550-3213
Publisher
Elsevier
Publication Date
Volume
585
Identifiers
DOI: 10.1016/s0550-3213(00)00352-7
Keywords
  • Cosmology
  • Astrophysics And Gravitation
Disciplines
  • Astronomy

Abstract

Abstract We add a Gauss–Bonnet term to the Einstein–Hilbert action and study the recent proposal to solve the cosmological constant problem. We also consider the possibility of adding a dilaton potential to the action. In the absence of supersymmetry, we obtain first order Bogomol'nyi equation as a solution-generating method in our scenario. When the coefficient of the Gauss–Bonnet term is positive, the dilaton potential is bounded below. Assuming a simple double-well potential, we find the dilaton field to be a kink in the fifth dimension.

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