Relativistic theory of elastic bodies in the presence of gravitational waves

Author(s)
Mario Hudelist, Thomas B Mieling, Stefan Palenta
Abstract

The equations of motion governing small elastic oscillations of materials, induced by gravitational waves, are derived from the general framework of Carter and Quintana. In transverse-traceless gauge, no bulk forces are present, and the gravitational wave is found to act as an effective surface traction. For thin rods, an equivalent description is given, in which there is no surface traction, but a bulk acceleration, which is related to the Riemann curvature of the gravitational wave. The resulting equations are compared to those of the Synge–Bennoun elasticity theory.

Organisation(s)
Gravitational Physics
Journal
Classical and Quantum Gravity
Volume
40
No. of pages
10
ISSN
0264-9381
DOI
https://doi.org/10.1088/1361-6382/acc230
Publication date
04-2023
Peer reviewed
Yes
Austrian Fields of Science 2012
103036 Theoretical physics, 203034 Continuum mechanics, 103028 Theory of relativity
Keywords
ASJC Scopus subject areas
Physics and Astronomy (miscellaneous)
Portal url
https://ucris.univie.ac.at/portal/en/publications/relativistic-theory-of-elastic-bodies-in-the-presence-of-gravitational-waves(dd13b784-c33b-4d53-92e4-732a1296e8e9).html