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- W3136374420 abstract "In a recent work it was shown that conformal Carroll geometries are canonically equipped with a null-tractor bundle generalizing the tractor bundle of conformal geometry. We here show that in the case of the conformal boundary of an asymptotically flat spacetime of any dimension $$dge 3$$ , this null-tractor bundle over null infinity can be canonically derived from the interior spacetime geometry. As was previously discussed, compatible normal connections on the null-tractor bundle are not unique: We prove that they are in fact in one-to-one correspondence with the germ of the asymptotically flat spacetimes to leading order. In dimension $$d=3$$ the tractor connection invariantly encodes a choice of mass and angular momentum aspect, in dimension $$dge 4$$ a choice of asymptotic shear. In dimension $$d=4$$ the presence of tractor curvature correspond to gravitational radiation. Even thought these results are by construction geometrical and coordinate invariant, we give explicit expressions in BMS coordinates for concreteness." @default.
- W3136374420 created "2021-03-29" @default.
- W3136374420 creator A5059753041 @default.
- W3136374420 date "2022-05-26" @default.
- W3136374420 modified "2023-10-14" @default.
- W3136374420 title "Tractor Geometry of Asymptotically Flat Spacetimes" @default.
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- W3136374420 doi "https://doi.org/10.1007/s00023-022-01174-0" @default.
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