Black hole wavefunctions and microcanonical states

Abstract

We consider the problem of defining a microcanonical thermofield double state at fixed energy and angular momentum from the gravitational path integral. A semiclassical approximation to this state is obtained by imposing a mixed boundary condition on an initial time surface. We analyze the corresponding boundary value problem and gravitational action. The overlap of this state with the canonical thermofield double state, which is interpreted as the Hartle-Hawking wavefunction of an eternal black hole in a mini-superspace approximation, is calculated semiclassically. The relevant saddlepoint is a higher-dimensional, rotating generalization of the wedge geometry that has been studied in two-dimensional gravity.

arXiv comment20 pages

References in corpus (23)

• The Black Hole in Three Dimensional Space Time
• A Stress Tensor for Anti-de Sitter Gravity
• Quasilocal Energy and Conserved Charges Derived from the Gravitational Action
• Eternal Black Holes in AdS
• Replica Wormholes and the Entropy of Hawking Radiation
• Wormholes in AdS
• The Microcanonical Functional Integral. I. The Gravitational Field
• The Quantum Gravity Dynamics of Near Extremal Black Holes
• AdS${}_3$ gravity and random CFT
• Flat entanglement spectra in fixed-area states of quantum gravity
• The Schwarzian Theory - Origins
• Semiclassical 3D gravity as an average of large-c CFTs
• A universal Schwarzian sector in two-dimensional conformal field theories
• Solving 3d Gravity with Virasoro TQFT
• Classifying boundary conditions in JT gravity: from energy-branes to $\alpha$-branes
• Gravity Edges Modes and Hayward Term
• Microcanonical Path Integrals and the Holography of small Black Hole Interiors
• One-loop universality of holographic codes
• Estimating global charge violating amplitudes from wormholes
• Toward random tensor networks and holographic codes in CFT
• Stability of the microcanonical ensemble in Euclidean Quantum Gravity
• The Spacetime Geometry of Fixed-Area States in Gravitational Systems
• Hartle-Hawking state and its factorization in 3d gravity

Cited by in corpus (3)

• Overdamped quasibound states inside a Schwarzschild black hole
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• Spacetime Bananas with EOW Branes and Spins