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C.E. Dolby and S.F. Gull Abstract: In this paper we apply the concept of radar time (popularised by Bondi in his work on k-calculus) to the well-known relativistic twin `paradox'. Radar time is used to define hypersurfaces of simultaneity for a class of travelling twins, fr om the `Immediate Turn-around' case, through the `Gradual Turn-around' case, to th e `Uniformly Accelerating' case. We show that this definition of simultaneity is i ndependent of choice of coordinates, and assigns a unique time to any event (with which the travelling twin can send and receive signals), resolving some common misconceptions. Available on: gr-qc/0104077 |
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