Rotating Elastic Bodies in Einstein Gravity

Author(s)
Lars Andersson, Bernd Schmidt, Robert Beig
Abstract

We prove that, given a stress-free, axially symmetric elastic body, there exists, for sufficiently small values of the gravitational constant and of the angular frequency, a unique stationary, axisymmetric solution to the Einstein equations coupled to the equations of relativistic elasticity with the body performing rigid rotations around the symmetry axis at the given angular frequency.

Organisation(s)
Gravitational Physics
External organisation(s)
Max-Planck-Institut für Gravitationsphysik (Albert Einstein Institut)
Journal
Communications on Pure and Applied Mathematics
Volume
63
Pages
559-589
No. of pages
31
ISSN
0010-3640
DOI
https://doi.org/10.1002/cpa.20302
Publication date
2010
Peer reviewed
Yes
Austrian Fields of Science 2012
103036 Theoretical physics
Portal url
https://ucris.univie.ac.at/portal/en/publications/rotating-elastic-bodies-in-einstein-gravity(ba93edd3-7f75-41d2-b7b8-b51c2b9cec98).html