The classical double copy of non-singular black holes

Abstract

We apply the classical double copy procedure to a class of regular, non-singular black hole solutions. We give several examples, paying particular attention to a string-theory-corrected black hole solution emerging from T-duality. Non-perturbative stringy corrections introduce an ultraviolet (UV) zero-point length cutoff which results in non-singular black hole spacetimes. Apart from the UV regulator, the solution is equivalent to the Bardeen black hole spacetime. We extend this solution to include an asymptotic de Sitter background. All Yang-Mills field theory quantities associated with the double copy are well-behaved and finite for all values of parameters. We present a thorough analysis of the black hole horizon structure, additionally uncovering a simple yet new connection between horizons on the gravity side and electric fields on the gauge theory side of the double copy.

arXiv comment42 pages, 15 figures. References added, matches version accepted for publication in PRD

References in corpus (62)

• Formation and evaporation of non-singular black holes
• Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics
• New Relations for Gauge-Theory Amplitudes
• The Bardeen Model as a Nonlinear Magnetic Monopole
• Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order
• Dilaton Gravity in Two Dimensions
• Amplitudes, Observables, and Classical Scattering
• Black Hole Binary Dynamics from the Double Copy and Effective Theory
• From Scattering Amplitudes to Classical Potentials in the Post-Minkowskian Expansion
• Black holes and the double copy
• The classical double copy for Taub-NUT spacetime
• Regular Black Holes and Topology Change
• The 1965 Penrose singularity theorem
• Regular black hole metrics and the weak energy condition
• A Cosmological Theory without Singularities
• On the viability of regular black holes
• Inelastic Black Hole Scattering from Charged Scalar Amplitudes
• The Kerr-Schild double copy in curved spacetime
• Classical gluon and graviton radiation from the bi-adjoint scalar double copy
• Gravitational Radiation from Color-Kinematics Duality
• Scattering on plane waves and the double copy
• The Duality Between Color and Kinematics and its Applications
• Type D Spacetimes and the Weyl Double Copy
• Nonsingular Black Hole
• The self-dual classical double copy, and the Eguchi-Hanson instanton
• Bound states and the classical double copy
• Quantum Corrected Black Holes from String T-Duality
• Resolving Cosmological Singularities
• Universe Generation from Black Hole Interiors
• Static Spherically Symmetric Kerr-Schild Metrics and Implications for the Classical Double Copy
• Kerr-Schild Double Field Theory and Classical Double Copy
• Bardeen-de Sitter black holes
• Screw-symmetric gravitational waves: a double copy of the vortex
• A Nonsingular Two Dimensional Black Hole
• Topology and Wilson lines: global aspects of the double copy
• Geodesic Structure of Test Particle in Bardeen Spacetime
• The Classical Double Copy of a Point Charge
• Magnetically charged regular black hole in a model of nonlinear electrodynamics
• Ergosphere and shadow of a rotating regular black hole
• Hawking radiation of nonsingular black holes in two dimensions
• Kerr-Schild Double Copy and Complex Worldlines
• Nonsingular Dilaton Cosmology in the String Frame
• Monopoles, shockwaves and the classical double copy
• Strings, extended objects, and the classical double copy
• Regular Stringy Black Holes?
• Heterotic Kerr-Schild Double Field Theory and Classical Double Copy
• Classical Double Copy: Kerr-Schild-Kundt metrics from Yang-Mills Theory
• Nonsingular Dilaton Cosmology
• Quasitopological electromagnetism and black holes
• Bardeen-like regular black holes in $5D$ Einstein-Gauss-Bonnet gravity
• The accelerating universe and a limiting curvature proposal
• The calculation of the thermodynamic quantities of the Bardeen black hole
• Nonsingular Lagrangians for Two Dimensional Black Holes
• Generalised Schwarzschild metric from double copy of point-like charge solution in Born-Infeld theory
• Singularity-Free Two Dimensional Cosmologies
• Towards a Stringy Resolution of the Cosmological Singularity
• From polarized gravitational waves to analytically solvable electromagnetic beams
• Algorithms for the explicit computation of Penrose diagrams
• Singularities in Spherically Symmetric Solutions with Limited Curvature Invariants
• Nonsingular Schwarzschild-de Sitter Black Hole
• The definition of mass in asymptotically de Sitter space-times
• Resolution of Reissner-Nordström singularities by higher-derivative corrections

Cited by in corpus (39)

• A Twistorial Foundation for the Classical Double Copy
• Classical Solutions and their Double Copy in Split Signature
• Classical Yang-Mills observables from amplitudes
• Sources in the Weyl double copy
• Off-Shell Color-Kinematics Duality for Chern-Simons
• Classical double copy at null infinity
• New heavenly double copies
• Asymptotic Weyl Double Copy
• Kerr-Schild Double Copy of the Coulomb Solution in Three Dimensions
• Einstein-Maxwell theory and the Weyl double copy
• Twistor Space Origins of the Newman-Penrose Map
• The double copy of the multipole expansion
• Why is the Weyl double copy local in position space?
• Isometries and the double copy
• Geodesics From Classical Double Copy
• Higher-derivative Heterotic Double Field Theory and Classical Double Copy
• Aligned Fields Double Copy to Kerr-NUT-(A)dS
• Effective Quantum Dust Collapse via Surface Matching
• Generalized Black Holes in 3D Kerr-Schild Double Copy
• Solutions in Nonlinear Electrodynamics and their double copy regular black holes
• Black Hole Horizons from the Double Copy
• The classical double copy in curved spacetimes: Perturbative Yang-Mills from the bi-adjoint scalar
• Finite electrodynamics from T-duality
• Note on the asymptotic structure of Kerr-Schild form
• A spinorial double copy for $\mathcal{N}=0$ supergravity
• Classical double copy and higher-spin fields
• Kerr-Schild double copy for Kundt spacetimes of any dimension
• Weyl double copy in type D spacetime in four and five dimensions
• Background ambiguity and the Gödel double copy
• Next-to-MHV Yang-Mills kinematic algebra
• Stability of regular black holes and other compact objects with a charged de Sitter core and a surface matter layer
• Five dimensional Weyl double copy
• The Weyl double copy from twistor space
• New framework for classical double copies
• Slowly rotating charges from Weyl double copy for Kerr black hole with Chern-Simons correction
• Massive Covariant Colour-Kinematics in 3D
• Untwisting the double copy: the zeroth copy as an optical seed
• NS-NS Spacetimes from Amplitudes
• The Kerr-Schild Double Copy in Lifshitz Spacetime