Twistors for uniform acceleration

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Abstract
The skew tensor field and twistor descriptions of the momentum and angular momentum of a classical relativistic particle are adapted to describe a uniformly accelerated particle. An extension, natural within the twistor framework, of the usual duality between Poincaré momenta and symmetries yields osculating planes together with acceleration scalars as momenta of uniformly accelerated particles. The adapted twistor description leads to the construction of a local twistor attached to an arbitrary world line in a general space-time and a conformally invariant prescription for uniform acceleration.

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