GT6 - Exact Solutions (mathematical aspects) |
Speaker_ |
Baranov, Alexandre |
Co-autors |
Paklin, Nikolai |
Talk _ |
THE PERFECT FLUID EXACT SOLUTIONS' GENERATION OF FOR STATIC SPHERIC DISTRIBUTIONS |
Abstract _ |
A static spheric distribution of substance is considered. An equation of state is not introduced here. A procedure of function's shift in solutions' space is introduced. A solution of Einstein's equations is defined as a pair of functions $(y,z)$. Let a particular solution is known. If the function $z$ be fixed, for example, general solution $\bar{y}$ will be found. It is the $y$-shift procedure. In a result the other exact solution $ (\bar {y}, z)$ is received. The $z$-shift is introduced by analogous way. Any families of exact partial solutions of Einstein's equations as shift in solutions' space may be found, but a physical sense of new solutions can be absent[1,2]. [1] A.M.Baranov, N.N.Paklin//Izv.Vuz. (Fizika), 1990, No 6.[2] A.M.Baranov, N.N.Paklin //Vestnik of KrasSU (Phys. Math. Sci.),2005,No 7. |