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Dynamical Instabilities of the Randall-Sundrum Model

Timon Boehm·Ruth Durrer·Carsten van de Bruck
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Abstract

We derive dynamical equations to describe a single 3-brane containing fluid matter and a scalar field coupling to the dilaton and the gravitational field in a five dimensional bulk. First, we show that a scalar field or an arbitrary fluid on the brane cannot evolve to cancel the cosmological constant in the bulk. Then we show that the Randall-Sundrum model is unstable under small deviations from the fine-tuning between the brane tension and the bulk cosmological constant and even under homogeneous gravitational perturbations. Implications for brane world cosmologies are discussed.

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Timon Boehm, Ruth Durrer, Carsten van de Bruck. 2001-07-06. Dynamical Instabilities of the Randall-Sundrum Model. https://doi.org/10.1103/physrevd.64.063504

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