Superrotations are linkages

We show that superrotations can be described using the geometric conformal completion method of Penrose. In particular, superrotation charges and fluxes can be described and calculated using the linkage method of Geroch and Winicour. Whether superrotation charges are calculated using the coordinate based Bondi formalism or the geometric Penrose formalism, the fact that the superrotation blows up at a point makes the superrotation charge formally ill-defined. Nonetheless, we show that it can be made well-defined through a regularization procedure devised by Flanagan and Nichols.

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Publication Details

Journal
Physical review. D/Physical review. D.
Published
2025-11-24
DOI
https://doi.org/10.1103/pnt2-1pq9
Primary Topic
Black Holes and Theoretical Physics
Type
article
Field-Weighted Citation Impact
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article

Superrotations are linkages

Karl J. Friston
Physical review. D/Physical review. D.
Black Holes and Theoretical Physics
article

Superrotations are linkages

Karl J. Friston
article en

Abstract

We show that superrotations can be described using the geometric conformal completion method of Penrose. In particular, superrotation charges and fluxes can be described and calculated using the linkage method of Geroch and Winicour. Whether superrotation charges are calculated using the coordinate based Bondi formalism or the geometric Penrose formalism, the fact that the superrotation blows up at a point makes the superrotation charge formally ill-defined. Nonetheless, we show that it can be made well-defined through a regularization procedure devised by Flanagan and Nichols.

Physical review. D/Physical review. D.Vol. 112(12)
Oakland University (US), University of Michigan (US)
Openalex Percentile: Top 82%
Black Holes and Theoretical Physics
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