Physical frames along circular orbits in stationary axisymmetric spacetimes |
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| Authors: | Donato Bini Christian Cherubini Andrea Geralico Robert T Jantzen |
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| Institution: | (1) Istituto per le Applicazioni del Calcolo “M. Picone”, CNR, 00161 Rome, Italy;(2) ICRA, University of Rome “La Sapienza”, 00185 Rome, Italy;(3) INFN–Sezione di Firenze, Polo Scientifico, Via Sansone 1, 50019 Sesto Fiorentino (FI), Italy;(4) Facoltá di Ingegneria, Università Campus Biomedico, Via E. Longoni 83, 00155 Rome, Italy;(5) Physics Department and ICRA, University of Rome “La Sapienza”, 00185 Rome, Italy;(6) Department of Mathematical Sciences, Villanova University, Villanova, PA 19085, USA |
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| Abstract: | Three natural classes of orthonormal frames, namely Frenet-Serret, Fermi–Walker and parallel transported frames, exist along
any timelike world line in spacetime. Their relationships are investigated for timelike circular orbits in stationary axisymmetric
spacetimes, and illustrated for black hole spacetimes.
Dedicated to Bahram Mashhoon for his 60th birthday. |
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| Keywords: | Relativistic circular orbits Parallel transport Fermi-Walker transport Black holes |
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