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The Power of Action: "The" Derivation of the Black Hole Negative Mode

Barak Kol
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Abstract

The negative mode of the Schwarzschild black hole is central to Euclidean quantum gravity around hot flat space and for the Gregory-Laflamme black string instability. Numerous gauges were employed in the past to analyze it. Here _the_ analytic derivation is found, based on postponing the gauge fixing, on the power of the action and on decoupling of non-dynamic fields. A broad-range generalization to perturbations around arbitrary co-homogeneity 1 geometries is discussed.

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Barak Kol. 2008-03-02. The Power of Action: "The" Derivation of the Black Hole Negative Mode. https://doi.org/10.1103/physrevd.77.044039

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