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Phys. Rev. D 69, 064011 (2004) [12 pages]

Do rotations beyond the cosmological horizon affect the local inertial frame?

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Jiří Bičák
Institute of Theoretical Physics, Charles University, V Holešovičkách 2, 180 00 Prague 8, Czech Republic;
Institute of Astronomy, Madingley Road, Cambridge CB3 0HA, United Kingdom;
Max-Planck Institute for Gravitational Physics (Albert Einstein Institute), 14476 Golm, Germany

Donald Lynden-Bell
Institute of Astronomy, Madingley Road, Cambridge CB3 0HA, United Kingdom;
Institute of Theoretical Physics, Charles University, V Holešovičkách 2, 180 00 Prague 8, Czech Republic;
Max-Planck Institute for Gravitational Physics (Albert Einstein Institute), 14476 Golm, Germany

Joseph Katz
The Racah Institute of Physics, Givat Ram, 91904 Jerusalem, Israel;
Institute of Theoretical Physics, Charles University, V Holešovičkách 2, 180 00 Prague 8, Czech Republic;
Max-Planck Institute for Gravitational Physics (Albert Einstein Institute), 14476 Golm, Germany

Received 28 June 2003; published 17 March 2004

If perturbations beyond the horizon have the velocities prescribed everywhere then the dragging of inertial frames near the origin is suppressed by an exponential factor. However if perturbations are prescribed in terms of their angular momenta there is no such suppression. We resolve this paradox and in doing so give new explicit results for the dragging of inertial frames in closed, flat, and open universes with and without a cosmological constant.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.69.064011
DOI:
10.1103/PhysRevD.69.064011
PACS:
04.20.-q, 98.80.Jk
 
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