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We prove that the $TT$-gauge-fixed linearised Einstein operator is non-degenerate for Riemannian Kottler ("Schwarzschild-anti de Sitter") metrics with dimension- and topology-dependent ranges of mass parameter.
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A. Ishibashi and R. M. Wald, Dynamics in non-globally hyperbolic static spacetimes III: Anti-de Sitter spacetime , Class. Quant. Grav. 21
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J. Jezierski and P. Waluk, (2017), in preparation
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