A Static Generalization of the Schwarzschild Solution, that Gives not Asymptotically Dipole Term

In this paper we study the static axisymmetric solutions of the vacuum Einstein equations. Among static axisymmetric vacuum solutions of the most interest are the asymptotically flat solutions reducing to the Schwarzschild solution. The purpose of this paper is to obtain a static solution which turned out to be appropriate for describing the gravitational field around an axisymmetric mass distribution. In this paper the method of singular sources os considered and some new applications are presented. By mean of the method of singular sources it is possible to construct gravitational multipoles which generalize the Schwarzschild solution.

• Gutsunaev Ts.I.
• Hmelek V.Yu.
• Komolikov A.V.
• Shaideman A.A.
• Terletsky A.Ya.

• Прикладные науки. Медицина. Технология

• Социальные (общественные) науки
• Науки о человеке