Vol. 11, no.2, 2019
РусскийEnglish
CONDENSED MATTER PHYSICS
METRIC AND STRUCTURE EQUATIONS IN RELATIVISTIC CONTINUA
Stanislav A. Podosenov, Elena R. Men'kova
All-Russian Research Institute for Optical and Physical Measurements, http://www.vniiofi.ru/
Moscow 119361, Russian Federation
Alexander A. Potapov
Kotelnikov Institute of Radioengineering and Electronics, Russian Academy of Sciences, http://cplire.ru/
Moscow 125009, Russian Federation
Jaykov Foukzon
Center for Mathematical Sciences, Israel Institute of Technology, http://www.technion.ac.il/
Haifa 3200003, Israel
Received 10.8.2018, accepted 12.03.2019
Abstract. The proper expression describing physical lengths and times in arbitrary relativistic moving continua is presented. To investigate the structure equations determining the space-time geometry at specified medium characteristics are applied. In the elementary case, the geometry is the Riemannian one that does not connect with the Einstein’s general relativity theory. The relativistic Born rigid uniformly accelerated reference frame realized in the Riemannian space-time is considered as an example. The relativistic Born rigid uniformly rotating reference frame without a horizon but requiring the Riemannian space-time has been constructed. The Bell inequality solution is obtained and the comparison with the Mössbauer rotor experiment is made.
Keywords: relativistic continuum, structure equations, space-time, general relativity theory, reference frame, Born rigidity, Riemannian, Einstein, Bell inequality, Mössbauer rotor
UDC 530.12, 531.134, 537.9
RENSIT, 2019, 11(2):113-124 DOI: 10.17725/rensit.2019.11.113
Full-text electronic version of this article - web site http://en.rensit.ru/vypuski/article/283/11(2)113-124e.pdf