Naked singularity and Gauss-Bonnet term in brane world scenarios

Apr, 2000
13 pages
Published in:
  • Nucl.Phys.B 585 (2000) 395-404
e-Print:

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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, the dilaton field is found to be a kink in the fifth dimension.
  • 11.10.Kk
  • 04.50.+h
  • 12.60.-i
  • Extra dimension
  • Gauss–Bonnet
  • Naked singularity
  • membrane model
  • Gauss-Bonnet term
  • cosmological constant
  • dilaton: potential