Supertranslation-Invariant Dressed Lorentz Charges
arXiv:2202.03442 · doi:10.1007/JHEP04(2022)069
Abstract
We present an explicit formula for Lorentz boosts and rotations that commute with BMS supertranslations in asymptotically flat spacetimes. Key to the construction is the use of infrared regularizations and of a unitary transformation that makes observables commute with the soft degrees of freedom. We explicitly verify that our charges satisfy the Lorentz algebra and we check that they are consistent with expectations by evaluating them on the supertranslated Minkowski space and on the boosted Kerr black hole.
arXiv commentTypos in eq. (57) and (67) of version 1 --now (56) and (66), respectively-- have been corrected; references have been added. To appear in JHEP
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- On the Definition of the Spin Charge in Asymptotically-Flat Spacetimes
- Supertranslation ambiguity in post-Minkowskian expansion
- On supertranslation invariant Lorentz charges
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- Lorentz Covariant Supertranslation Frames for the Angular Momentum Aspect