Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-03-04
Class.Quant.Grav.23:6773-6780,2006
Physics
High Energy Physics
High Energy Physics - Theory
12 pages, no figure, CQG accepted
Scientific paper
10.1088/0264-9381/23/23/010
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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