Scalar potential from de Sitter brane in 5D and effective cosmological constant

نویسنده

  • Masato Ito
چکیده

We derive the scalar potential in zero mode effective action arising from a de Sitter brane embedded in five dimensions with bulk cosmological constant Λ. The scalar potential for a scalar field canonically normalized is given by the sum of exponential potentials. In the case of Λ = 0 and Λ > 0, we point out that the scalar potential has a unstable local maximum at the origin and exponentially vanishes for large positive scalar field. In the case of Λ < 0, the scalar potential has a unstable local maximum at the origin and a stable local minimum, it is shown that the positive cosmological constant in brane is reduced by negative potential energy of scalar at minimum. ∗E-mail address: [email protected] 1

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تاریخ انتشار 2003