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Phys. Rev. D 62, 084015 (2000) [14 pages]

Gauge-invariant gravitational perturbations of maximally symmetric spacetimes

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Shinji Mukohyama
Department of Physics and Astronomy, University of Victoria, Victoria, British Columbia, Canada V8W 3P6

Received 11 April 2000; published 22 September 2000

Gravitational perturbations of anti–de Sitter (AdS) spacetime play important roles in the AdS conformal field theory correspondence and the brane world scenario. In this paper, we develop a gauge-invariant formalism of gravitational perturbations of maximally symmetric spacetimes including anti–de Sitter spacetime. The existence of scalar-type master variables is shown and the corresponding master equations are derived.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.62.084015
DOI:
10.1103/PhysRevD.62.084015
PACS:
04.50.+h, 11.25.Mj, 98.80.Cq