Gauss-Bonnet gravity renders negative tension braneworlds unstable

Details Gauss-Bonnet gravity renders negative tension braneworlds unstable Gauss-Bonnet gravity renders negative tension braneworlds unstable

2003-11-27

arxiv.org/abs/hep-th/0311267v3

Phys.Rev. D70 (2004) 106002

Physics

High Energy Physics

High Energy Physics - Theory

published version

Scientific paper

10.1103/PhysRevD.70.106002

We show that the Gauss-Bonnet correction to Einstein gravity induces a gravitational tachyon mode, namely an unstable spin 2 fluctuation, in the Randall-Sundrum I model. We demonstrate that this instability is generically related to the presence of a negative tension brane in the set-up, with or without $Z_2$-symmetry across it. Indeed it is shown that the tachyon mode is a bound state localised on any negative tension brane of co-dimension one, embedded in anti-de Sitter background. We discuss the possible resolution of this instability by the inclusion of induced gravity terms on the branes or by an effective four-dimensional cosmological constant.

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