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Supertranslations, a simple example(?)
Now that the mystery is unfolding, I'm trying to catch up
with the new concepts. Especially the supertranslations. In http://arxiv.org/abs/1603.07706v1 [1] they are said to be at Null Infinity. Elsewhere I get the impression they must affect the event horizon of a black hole. So I wonder: is it possible to give an example of a supertranslation? Is it possible to indicate where exactly it takes place in the Penrose diagram of the transient black hole like this: z|\ z| \ z| \I+ z| \ z| \ z| \ h/ / h/ / h/ / h/ / z| / z| / z| /I- z| / z| / z|/ (Better picture at http://i.stack.imgur.com/Qtjrx.png [2]) Are the (relevant) supertranslations: 1) Everywhere in space, or mainly near the horizon "h" 2) Are they movements in the Penrose diagrom plane, or in the orthogonal 2-sphere directions, or a mix? 3) What do they transform? The coordinates, the scale factor, the locally attached sphere radius, or all of them? Just one example would be nice. (Or maybe I overlooked it in [1]?) [1] Kapec, Raclariu and Strominger http://arxiv.org/abs/1603.07706v1. [2] Copied from a different discussion in http://physics.stackexchange.com/questions/22498/from-where-in-space-time-does-hawking-radiation-originate -- Jos |
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