Superrotations and Black Hole Pair Creation

Abstract

Recent work has shown that the symmetries of classical gravitational scattering in asymptotically flat spacetimes include, at the linearized level, infinitesimal superrotations. These act like Virasoro generators on the celestial sphere at null infinity. However, due to the singularities in these generators, the physical status of finite superrotations has remained unclear. Here we address this issue in the context of the breaking of a cosmic string via quantum black hole pair nucleation. This process is described by a gravitational instanton known as the $C$-metric. After pair production, the black holes are pulled by the string to null infinity with a constant acceleration. At late times the string decays and the spacetime settles into a vacuum state. We show that the early and late spacetimes before and after string decay differ by a finite superrotation. This provides a physical interpretation of superrotations. They act on spacetimes which are asymptotically flat everywhere except at isolated singularities with cosmic string defects.

18 pages

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Cited by in corpus (54)

• Superrotation Charge and Supertranslation Hair on Black Holes
• Lectures on Celestial Amplitudes
• Superboost transitions, refraction memory and super-Lorentz charge algebra
• Asymptotic Symmetries and Celestial CFT
• The Holographic Nature of Null Infinity
• Spin memory effect for compact binaries in the post-Newtonian approximation
• BMS Group at Spatial Infinity: the Hamiltonian (ADM) approach
• The Poincaré and BMS flux-balance laws with application to binary systems
• Shifting Spin on the Celestial Sphere
• A general framework for gravitational charges and holographic renormalization
• Centrally extended BMS4 Lie algebroid
• On higher-spin supertranslations and superrotations
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• Goldilocks Modes and the Three Scattering Bases
• Brans-Dicke theory in Bondi-Sachs form: Asymptotically flat solutions, asymptotic symmetries and gravitational-wave memory effects
• Properties of Dual Supertranslation Charges in Asymptotically Flat Spacetimes
• Asymptotic Weyl Double Copy
• The Effective Action of Superrotation Modes
• Inferring fundamental spacetime symmetries with gravitational-wave memory: from LISA to the Einstein Telescope
• Geometric action for extended Bondi-Metzner-Sachs group in four dimensions
• Double-soft graviton amplitudes and the extended BMS charge algebra
• Asymptotically flat spacetimes with BMS${}_3$ symmetry
• General null asymptotics and superrotation-compatible configuration spaces in $d\ge 4$
• Symmetry group at future null infinity I: Scalar theory
• A Comment on Loop Corrections to the Celestial Stress Tensor
• Gravitational perturbations from NHEK to Kerr
• Implications of Superrotations
• Accelerating Black Hole Thermodynamics with Boost Time
• Memory Effect and BMS-like Symmetries for Impulsive Gravitational Waves
• Celestial Recursion
• More on gravitational memory
• Asymptotic symmetries and subleading soft graviton theorem in higher dimensions
• Chaos in Celestial CFT
• Global First Laws of Accelerating Black Holes
• Memory effect and BMS symmetries for extreme black holes
• Cosmic footballs from superrotations
• Cosmic branes and asymptotic structure
• Asymptotic symmetries in spatially flat FRW
• Thomas Precession for Dressed Particles
• Strolling along gauge theory vacua
• A closer glance at black hole pair creation
• Displacement memory effect near the horizon of black holes
• Soldering freedom and BMS-like transformations
• Extended Symmetries at Black Hole Horizons in Generic Dimensions
• Holography and black holes in asymptotically flat FLRW
• Radiation in Fluid/Gravity and the Flat Limit
• BMS Symmetry via AdS/CFT
• Super-Hawking Radiation
• $\widehat{s{l}_2}$ symmetry of ${\mathbb{R}}^{1,3}$ gravity
• Asymptotic conformal symmetry at spatial infinity
• Singular Supertranslations and Chern-Simons Theory on the Black Hole Horizon
• Entanglement Rényi entropies in celestial holography
• Superrotations are Linkages
• From Asymptotically Flat Gravity to Finite Causal Diamonds