| Abstrakt: |
It is shown that the equation of state µ=p for an ideal fluid follows from the condition of integrability of Einstein's equations for the metric ds2=R2T2d?2+e2?dr2-e2?dt2. In this case, the system of Einstein's equations turns out to be indeterminate and has an infinite number of solutions for R' ? 0. These solutions describe fields with nonzero acceleration, expansion, and shear tensor of particles. The obtained solutions correct the results obtained by J. Hajj-Boutros, J. Math. Phys.,26, 771 (1985). The unique solution of Einstein's equations for the state µ=p of a fluid is obtained to within arbitrary constants for R'=0. |
Full text from SpringerLink