Gravity of monopole and string and gravitational constant in 3He-A
PACS: 04.90.+e, 11.27.+d, 67.57.-z
We discuss the effective metric produced in superfluid 3He-A by such topological objects as the radial disgyration and monopole. In relativistic theories these metrics are similar to that of the local string and global monopole correspondingly. But in 3He-A they have the negative angle deficit, which corresponds to the negative mass of the topological objects. The effective gravitational constant in superfluid 3He-A, deduced from the comparison with relativistic theories, is G ~ Δ-2, where the gap amlitude Δ plays the part of the Planck energy. G depends on temperature roughly as (1 — T2/T2)~2 and corresponds to the screening of the Newton's constant.