English

Are rigid non-inertial frames of reference really rigid?

General Relativity and Quantum Cosmology 2013-06-21 v1

Abstract

In this paper the notion of the rigid frame of reference within special relativity is analysed. Three definitions of rigidity are formulated. By using several examples of non-inertial frames, it is shown that these definitions are not equivalent. It is also shown that so called M\"oller rigid non-inertial frames are locally rigid, but do not exhibit global rigidity. The physical meaning of this phenomenon is discussed, as well as its relation to the non-Euclidean nature of space in non-inertial frames of reference. (russian version)

Keywords

Cite

@article{arxiv.1306.4775,
  title  = {Are rigid non-inertial frames of reference really rigid?},
  author = {S. S. Stepanov},
  journal= {arXiv preprint arXiv:1306.4775},
  year   = {2013}
}

Comments

in Russian, 4 figures

R2 v1 2026-06-22T00:37:19.650Z