Phys. Rev. D 77, 044039 (2008) [8 pages]Gauge-eliminated derivation of the black-hole negative modeReceived 6 August 2006; revised 3 January 2008; published 25 February 2008 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 nondynamic fields. A broad-range generalization to perturbations around geometries with one nonhomogeneous dimension is discussed. © 2008 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.77.044039
DOI:
10.1103/PhysRevD.77.044039
PACS:
04.70.Bw, 04.25.Nx, 04.50.−h
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