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Perturbations of higher-dimensional spacetimes · Around

2010

Perturbations of higher-dimensional spacetimes

Durkee, Mark, Reall, Harvey S.

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We discuss linearized gravitational perturbations of higher dimensional spacetimes.

For algebraically special spacetimes (e.g.
Myers-Perry black holes), we show that there exist local gauge invariant quantities linear in the metric perturbation.
These are the higher dimensional generalizations of the 4d Newman-Penrose scalars that (in an algebraically special vacuum spacetime) satisfy decoupled equations of motion.

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