The Power of Action: "The" Derivation of the Black Hole Negative Mode
Abstract
Description
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.
16 pages, 1 figure. v2: Published version including an expanded introduction and minor changes. The title of the published version was changed due to an editorial request to "Gauge-eliminated derivation of the black hole negative mode"
16 pages, 1 figure. v2: Published version including an expanded introduction and minor changes. The title of the published version was changed due to an editorial request to "Gauge-eliminated derivation of the black hole negative mode"