1207.3481 (M. O. Katanaev)

Point massive particle in General Relativity    [PDF]

M. O. Katanaev

It is well known that the Schwarzschild solution describes the gravitational field outside compact spherically symmetric mass distribution in General Relativity. In particular, it describes the gravitational field of point particle. Nevertheless, what is the exact solution of Einstein's equations with $\delta$-type source is not known. In the present paper, we give mathematical meaning of nonlinear Einstein's equations with $\delta$-type source and find asymptotically flat static spherically symmetric solution in the class of generalized functions of combined system of equations of motion for metric and point massive particle.

View original: http://arxiv.org/abs/1207.3481