1301.4198 (T. Angsachon et al.)

Schwarzschild Solution in R-spacetime    [PDF]

T. Angsachon, S. N. Manida

Here we construct new solution for the Einstein equations -- some analog of the Schwarzschild metric in anti--de Sitter--Beltrami space in the $c\to \infty$ limit ($R$-space). In this case we derive an adiabatic invariant for finite movement of the massive point particle and separate variables Hamilton--Jacobi equation. Quasi orbital motion is analyzed and its radius time dependence is obtained.

View original: http://arxiv.org/abs/1301.4198