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arXiv · hep-th/0603028

Remark on the effective potential of the gravitational perturbation in the black hole background projected on the brane

D. K. Park
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Abstract

The polar perturbation is examined when the spacetime is expressed by a 4d metric induced from higher-dimensional Schwarzschild geometry. Since the spacetime background is not a vacuum solution of 4d Einstein equation, the various general principles are used to understand the behavior of the energy-momentum tensor under the perturbation. It is found that although the general principles fix many components, they cannot fix two components of the energy-momentum tensor. Choosing two components suitably, we derive the effective potential which has a correct 4d limit.

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D. K. Park. 2006-09-20. Remark on the effective potential of the gravitational perturbation in the black hole background projected on the brane. https://doi.org/10.1088/0264-9381%2F23%2F23%2F010

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