Relativistic theory of elastic bodies in the presence of gravitational waves

Autor(en)

Mario Hudelist, Thomas B Mieling, Stefan Palenta

Abstrakt

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(en)

Gravitationsphysik

Journal

Classical and Quantum Gravity

Band

40

Anzahl der Seiten

10

ISSN

0264-9381

DOI

https://doi.org/10.1088/1361-6382/acc230

Publikationsdatum

04-2023

Peer-reviewed

Ja

ÖFOS 2012

103036 Theoretische Physik, 203034 Kontinuumsmechanik, 103028 Relativitätstheorie

Schlagwörter

ASJC Scopus Sachgebiete

Physics and Astronomy (miscellaneous)

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/dd13b784-c33b-4d53-92e4-732a1296e8e9