Soldering freedom and Bondi-Metzner-Sachs-like transformations

2017/07/31 by Srijit Bhattacharjee, Arpan Bhattacharyya · 11 citations
Mathematics · Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Classical mechanics #Computer science #Conformal map #Cosmology and Gravitation Theories #Degenerate energy levels #Geometry #Homogeneous space #Horizon #Invariant (physics) #Mathematical analysis #Mathematical physics #Mathematics #Null (SQL) #Physics #Quantum mechanics #Theoretical physics #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.98.104009

published in Physical review. D/Physical review. D. 98(10) (American Physical Society) · 26 pages, references and clarifying texts added, version to appear in Physical Review D

openalex created_date 2018/08/22 · arxiv created 2018/10/19 · openalex publication_date 2018/11/12 · arxiv updated 2018/11/13 · openalex updated_date 2026/08/05

Abstract

When two spacetimes are stitched across a null shell placed at the horizon of a black hole, Bondi-Metzner-Sachs (BMS) supertranslation-like soldering freedom arises if one demands the induced metric on the shell should remain invariant under the translations generated by the null generators of the shell. We revisit this phenomenon on the horizon of rotating shells and obtain BMS-like symmetries. We further show that superrotation-like soldering symmetries in the form of conformal isometries can emerge whenever the degenerate metric of any null hypersurface admits a dependency on a null (degenerate direction) coordinate. This kind of conformal isometry can also appear for a null surface situated very close to the horizon of black holes. We also study the intrinsic properties of different kinds of horizon shells considered in this article.

Citations

• Evidence for a New Soft Graviton Theorem
• A reformulation of the Barrabes-Israel null-shell formalism
• New symmetries for the gravitational S-matrix
• The Information Paradox for Black Holes
• Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated system
• Symmetries and geodesics in (anti-)de Sitter spacetimes with non-expanding impulsive waves
• Note on the Bondi-Metzner-Sachs Group
• Gravitational waves in general relativity VIII. Waves in asymptotically flat space-time
• Exploring the holographic principle in asymptotically flat spacetimes via the BMS group
• Black Hole Entropy from Conformal Field Theory in Any Dimension
• Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity
• Entropy from conformal field theory at Killing horizons
• Supertranslations and Superrotations at the Black Hole Horizon
• Butterflies with rotation and charge
• Extended symmetries at black hole horizons in generic dimensions
• The conformal BMS group
• Infrared Quantum Information
• Asymptotic symmetries of QED and Weinberg's soft photon theorem