Gauss-Bonnet gravity renders negative tension braneworlds unstable

Abstract

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.

published version

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Cited by in corpus (23)

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• A late-accelerating universe with no dark energy - and a finite-temperature big bang
• Matching conditions for a brane of arbitrary codimension
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• Moduli Dynamics in Effective Nested Warped Geometry in Four Dimensions and Some Cosmological Implications
• Examples of exact exponential cosmological solutions with three isotropic subspaces in the Einstein-Gauss-Bonnet gravity