On Super-Translation transition between Quasi-local Black holes
arXiv:2003.01645 · doi:10.1103/PhysRevD.102.124061
Abstract
We re-explore the symmetries of a weakly isolated horizon (WIH) from the perspective of freedom in the choice of intrinsic data. The supertranslations are realized as additional symmetries. Further, it is shown that all smooth vector fields tangent to the cross-sections are Hamiltonian. We show that joining two WIHs which differ in these Hamiltonians and boundary data, under the action of a supertranslation, necessarily require the inclusion of an intermediate dynamical phase, possibly with the inclusion of a stress energy tensor. This phase of the boundary is non-expanding but not a WIH and invariably leads to a violation of the dominant energy condition. The assumptions made allow us to reconstruct the (classically) pathological stress energy tensor also.
References in corpus (44)
- Soft Hair on Black Holes
- BMS supertranslations and Weinberg's soft graviton theorem
- Symmetries of asymptotically flat 4 dimensional spacetimes at null infinity revisited
- Dynamical Horizons and their Properties
- Isolated Horizons: Hamiltonian Evolution and the First Law
- Asymptotic symmetries and subleading soft graviton theorem
- Entropy from Conformal Field Theory at Killing Horizons
- Superrotation Charge and Supertranslation Hair on Black Holes
- Supertranslations and Superrotations at the Black Hole Horizon
- Generic Isolated Horizons and their Applications
- Mechanics of Rotating Isolated Horizons
- Geometry of Generic Isolated Horizons
- New symmetries for the Gravitational S-matrix
- Mechanics of Isolated Horizons
- A generalization of Hawking's black hole topology theorem to higher dimensions
- Isolated Horizons: A Generalization of Black Hole Mechanics
- Superboost transitions, refraction memory and super-Lorentz charge algebra
- Carroll Structures, Null Geometry and Conformal Isometries
- Soft Heisenberg hair on black holes in three dimensions
- Multipole Moments of Isolated Horizons
- Extended Symmetries at the Black Hole Horizon
- Black Hole Entropy and Soft Hair
- Symmetries and charges of general relativity at null boundaries
- Higher-Dimensional Supertranslations and Weinberg's Soft Graviton Theorem
- BMS Supertranslations and Memory in Four and Higher Dimensions
- Isolated, slowly evolving, and dynamical trapping horizons: geometry and mechanics from surface deformations
- Asymptotic symmetries on Killing horizons
- Black Hole Entropy from BMS Symmetry at the Horizon
- Diffeomorphism on Horizon as an Asymptotic Isometry of Schwarzschild Black Hole
- Horizon Shells and BMS-like Soldering Transformations
- Gravitational Black Hole Hair from Event Horizon Supertranslations
- Spacetimes foliated by Killing horizons
- Soft Hair of Dynamical Black Hole and Hawking Radiation
- Black Hole Memory
- The spacetime in the neighborhood of a general isolated black hole
- Geometric Characterizations of the Kerr Isolated Horizon
- Dynamical Black Holes: Approach to the Final State
- Near Horizon Symmetries of the Non-Extremal Black Hole Solutions of Generalized Minimal Massive Gravity
- Symmetric non-expanding horizons
- Soft hairs on isolated horizon implanted by electromagnetic fields
- Entropy from near-horizon geometries of Killing horizons
- Soldering freedom and BMS-like transformations
- Neighbourhoods of Isolated Horizons and their stationarity
- Supertranslations: redundancies of horizon data, and global symmetries at null infinity