Non-relativistic limit of the Einstein equation
| dc.creator | Turakulov, Z. Ya. | |
| dc.date | 2007-05-21 | |
| dc.date | 2007-05-26 | |
| dc.date.accessioned | 2026-07-07T08:09:19Z | |
| dc.date.available | 2026-07-07T08:09:19Z | |
| dc.description | In particular cases of stationary and stationary axially symmetric space-time passage to non-relativistic limit of Einstein equation is completed. For this end the notions of absolute space and absolute time are introduced due to stationarity of the space-time under consideration. In this construction absolute time is defined as a function $t$ on the space-time such that $\prt_t$ is exactly the Killing vector and the space at different moments is presented by the surfaces $t=\con $. The space-time metric is expressed in terms of metric of the 3-space and two potentials one of which is exactly Newtonian gravitational potential $Φ$, another is vector potential $\vec A$ which, however, differs from vector potential known in classical electrodynamics. In the first-order approximation on $Φ/c^2$, $|\vec A|/c$ Einstein equation is reduced to a system for these functions in which left-hand sides contain Laplacian of the Newtonian potential, derivatives of the vector potential and curvature of the space and the right-hand sides do 3-dimensional stress tensor and densities of mass and energy. Subj-class: Classical Physics | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/0705.2994 | |
| dc.identifier | http://arxiv.org/abs/0705.2994 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/131506 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Non-relativistic limit of the Einstein equation | |
| dc.type | text |