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

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.

arXiv comment16 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"

References in corpus (11)

• Black Strings and p-Branes are Unstable
• On the gravitational field of a mass point according to Einstein's theory
• On non-uniform black branes
• The Phase Transition between Caged Black Holes and Black Strings - A Review
• Dynamic and Thermodynamic Stability and Negative Modes in Schwarzschild-Anti-de Sitter
• Black Holes on Cylinders
• On Black-Brane Instability In an Arbitrary Dimension
• Phases of Kaluza-Klein Black Holes: A Brief Review
• On non-uniform smeared black branes
• LG (Landau-Ginzburg) in GL (Gregory-Laflamme)
• A New Action-Derived Form of The Black Hole Metric

Cited by in corpus (17)

• The Phase Structure of Higher-Dimensional Black Rings and Black Holes
• AdS Euclidean wormholes
• High and Low Dimensions in The Black Hole Negative Mode
• Black Holes in Higher-Dimensional Gravity
• Negative modes and the thermodynamics of Reissner-Nordström black holes
• Stability of the microcanonical ensemble in Euclidean Quantum Gravity
• The double cone geometry is stable to brane nucleation
• Perturbations Around Backgrounds with One Non-Homogeneous Dimension
• Investigating stability of a class of black hole spacetimes under Ricci flow
• A trace inequality for Euclidean gravitational path integrals (and a new positive action conjecture)
• Study of Semiclassical Instability of the Schwarzschild AdS Black Hole in the Large $D$ Limit
• A New Action-Derived Form of The Black Hole Metric
• Gravitational thermodynamics without the conformal factor problem: Partition functions and Euclidean saddles from Lorentzian Path Integrals
• Complex Saddles of Charged-AdS Gravitational partition function
• Euclidean and complex geometries from real-time computations of gravitational Rényi entropies
• Higher Order Perturbations Around Backgrounds with One Non-Homogeneous Dimension
• The Canonical Ensemble Reloaded: The Complex-Stability of Euclidean quantum gravity for Black Holes in a Box