On elastic deformations of cylindrical bodies under the influence of the gravitational field

Autor(en)

Hamed Barzegar, Piotr T. Chruściel, Florian Steininger

Abstrakt

Background: Large elastic deformations of gravitating cylindrical bodies play a significant role in everyday life. On the other hand, tiny such deformations are relevant for state-of-the art experiments, as they affect the physical properties of materials under consideration, impacting wave propagation. This is of key importance for a recently planned experiment to explore the influence of the gravitational field on entangled photons propagating in waveguides. The purpose of this work is to determine this influence. Methods: We use the methods of linear elasticity, including thermoelasticity, to determine the stresses and strains of the medium. For this, the symmetry of the cylinder allows us to solve the problem by using Mitchell’s solutions of the equations satisfied by the Airy functions. The boundary conditions are implemented by an approximation of the Hertz contact method. Results: We calculate the displacements, the stresses and strains for several classes of boundary conditions, and give explicit solutions for a number of physically motivated configurations. The influence of the resulting deformations on the planned GRAVITES experiment is determined. Conclusions: The results are relevant for fiber interferometry experiments sensitive to the effects of the gravitational field on photon propagation. Our calculations give stringent bounds on the environmental variables, which need to be controlled in such experiments.

Organisation(en)

Gravitationsphysik

Externe Organisation(en)

Université Claude-Bernard-Lyon-I

Journal

Open Research Europe

Band

4

Anzahl der Seiten

35

ISSN

2732-5121

DOI

https://doi.org/10.48550/arXiv.2401.16949

Publikationsdatum

09-2024

Peer-reviewed

Ja

ÖFOS 2012

103028 Relativitätstheorie, 103025 Quantenmechanik

Schlagwörter

ASJC Scopus Sachgebiete

General

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/e1147faa-489d-4102-a8c1-83c28c9aade0