Title | Claps | Level | Year | L/Y |
---|---|---|---|---|
Twistor space origins of the Newman-Penrose map
Kara Farnsworth, M. Graesser, G. Herczeg
Recently, we introduced the “Newman-Penrose map”, a novel
correspondence between a certain class of solutions of Einstein’s
equations and self-dual solutions of the vacuum Maxwell equations, which
we showed was closely related to the classical doubl…
Recently, we introduced the “Newman-Penrose map”, a novel
correspondence between a certain class of solutions of Einstein’s
equations and self-dual solutions of the vacuum Maxwell equations, which
we showed was closely related to the classical double copy. Here, we
give an alternative definition of this correspondence in terms of
quantities that are defined naturally on twistor space, and a shear-free
null geodesic congruence on Minkowski space whose twistorial character
is articulated by the Kerr theorem. The advantage of this reformulation
is that it is purely geometrical in nature, being manifestly invariant
under both spacetime diffeomorphisms and projective transformations on
twistor space. While the original formulation of the map may be more
convenient for most explicit calculations, the twistorial formulation we
present here may be of greater theoretical utility.
Published in
SciPost Physics
|
5
|
5 | 2021 |
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