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Effective Gravitational Equations on Brane World with Induced Gravity

Kei-ichi Maeda·Shuntaro Mizuno·Takashi Torii
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Abstract

We present the effective equations to describe the four-dimensional gravity of a brane world, assuming that a five-dimensional bulk spacetime satisfies the Einstein equations and gravity is confined on the $Z_2$ symmetric brane. Applying this formalism, we study the induced-gravity brane model first proposed by Dvali, Gabadadze and Porrati. In a generalization of their model, we show that an effective cosmological constant on the brane can be extremely reduced in contrast to the case of the Randall-Sundrum model even if a bulk cosmological constant and a brane tension are not fine-tuned.

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Kei-ichi Maeda, Shuntaro Mizuno, Takashi Torii. 2003-06-07. Effective Gravitational Equations on Brane World with Induced Gravity. https://doi.org/10.1103/physrevd.68.024033

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