
ISSN
16549163 (print) ISSN 20017235 (online) The Abraham Zelmanov Journal The journal for General Relativity, gravitation and cosmology 
HOME ARCHIVES BOOKS ZELMANOV FREE SOFTWARE HOME > ARCHIVES > 2010, volume 3, pages 2570 Gravitational Waves and Gravitational Inertial Waves According to the General Theory of Relativity Abstract This research concerns gravitational waves and gravitational inertial waves, considered as waves of the curvature of space (spacetime). It was produced using the mathematical apparatus of chronometric invariants, which, being the projections of the fourdimensional quantities onto the line of time and the spatial section of an observer, are physically observable quantities. The wave functions (d'Alembertian) of the chronometrically invariant (physically observable) projections X^{ij}, Y^{ijk}, Z^{iklj} of the RiemannChristoffel curvature tensor are deduced. The conditions of the nonstationarity of the wave functions are taken into focus. It is shown that, even in the absence of the deformation of space (D_{ik} = 0), the nonstationarity of the wave functions is possible. Four such cases were found, depending on the gravitational inertial force F_{i} and the rotation of space A_{ik}: 1) F_{i} = 0, A_{ik} = 0; 2) F_{i} = 0, A_{ik} ≠ 0; 3) F_{i} ≠ 0, A_{ik} = 0; 4) F_{i} ≠ 0, A_{ik} ≠ 0. It was shown that in the first case, where F_{i} = 0 and A_{ik} = 0, in emptiness, space is flat. If one of the quantities F_{i} and A_{ik} differs from zero, the metric remains stationary in emptiness and in the medium. If both F_{i} and A_{ik} are nonzero, the metric can be nonstationary in both emptiness and the medium, if the field F_{i} is vortical. The main conclusion is that it is not necessary that only the deformation of space be a source of gravitational waves and gravitational inertial waves. The waves can exist even in nondeforming spaces, if the gravitational inertial force F_{i} and the rotation of space A_{ik} differ from zero, and the field F_{i} is vortical. Ref: The Abraham Zelmanov Journal, 2010, volume 3, pages 2570 Full text: PDF Copyright © The Abraham Zelmanov Journal 
ABOUT THE JOURNAL The Abraham Zelmanov Journal is an annually issue scientific journal registered with the Royal National Library of Sweden. FONT SIZE 