S-matrix for s-wave gravitational scattering
arXiv:gr-qc/0105034 · doi:10.1016/S0370-2693(01)01227-8
Abstract
In the s-wave approximation the 4D Einstein gravity with scalar fields can be reduced to an effective 2D dilaton gravity coupled nonminimally to the matter fields. We study the leading order (tree level) vertices. The 4-particle matrix element is calculated explicitly. It is interpreted as scattering with formation of a virtual black hole state. As one novel feature we predict the gravitational decay of s-waves.
9 pages, 1 figure, added clarifying comments in the introduction, the conclusion, and the virtual black hole section