Horizon Hair from Inversion Symmetry
arXiv:2008.04365 · doi:10.1088/1361-6382/abd225
Abstract
The extreme Reissner-Nordström solution has a discrete conformal isometry that maps the future event horizon to future null infinity and vice versa, the Couch-Torrence inversion isometry. We study the dynamics of a probe Maxwell field on the extreme Reissner-Nordström solution in light of this symmetry. We present a gauge fixing that is compatible with the inversion symmetry. The gauge fixing allows us to relate the gauge parameter at the future horizon to future null infinity, which further allows us to study global charges for large gauge symmetries in the exterior of the extreme Reissner-Nordström black hole. Along the way, we construct Newman-Penrose and Aretakis like conserved quantities along future null infinity and the future event horizon, respectively, and relate them via the Couch-Torrence inversion symmetry.
arXiv comment27 pages, 4 figures; v2: minor changes and a figure improved; v3: reference added; v4: paragraphs added, journal version, to appear in CQG
References in corpus (31)
- Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
- Soft Hair on Black Holes
- New Symmetries of Massless QED
- Superrotation Charge and Supertranslation Hair on Black Holes
- Supertranslations and Superrotations at the Black Hole Horizon
- Extended Symmetries at the Black Hole Horizon
- Hyperboloidal foliations and scri-fixing
- Symmetries and charges of general relativity at null boundaries
- On the horizon instability of an extreme Reissner-Nordström black hole
- Subleading soft photons and large gauge transformations
- Asymptotic symmetries on Killing horizons
- Asymptotic charges at spatial infinity
- Black hole memory effect
- Black Hole Entropy from BMS Symmetry at the Horizon
- Classical static final state of collapse with supertranslation memory
- Conservation of asymptotic charges from past to future null infinity: Supermomentum in general relativity
- Horizon Shells and BMS-like Soldering Transformations
- Near-horizon BMS symmetries as fluid symmetries
- Aretakis Charges and Asymptotic Null Infinity
- Asymptotic dynamics of AdS gravity with two asymptotic regions
- Late-time decay of perturbations outside extremal charged black hole
- Interpolating Between Asymptotic and Near Horizon Symmetries
- Membrane Paradigm from Near Horizon Soft Hair
- Virasoro hair and entropy for axisymmetric Killing horizons
- Revisiting the conformal invariance of Maxwell's equations in curved spacetime
- Horizon symmetries and hairy black holes in AdS
- The late-time tails in the Reissner-Nordström spacetime revisited
- Soldering freedom and BMS-like transformations
- General relation between Aretakis charge and Newman-Penrose charge
- A Yang-Mills field on the extremal Reissner-Nordström black hole
- On Late Time Tails in an Extreme Reissner-Nordström Black Hole: Frequency Domain Analysis