Towards an S-matrix Description of Gravitational Collapse

Details Towards an S-matrix Description of Gravitational Collapse Towards an S-matrix Description of Gravitational Collapse

2007-12-07

arxiv.org/abs/0712.1209v3

JHEP0802:049,2008

Physics

High Energy Physics

High Energy Physics - Theory

39 pages, 5 figures; added discussion sect. 7, added references, acknowledgements

Scientific paper

10.1088/1126-6708/2008/02/049

Extending our previous results on trans-Planckian ($Gs \gg \hbar$) scattering of light particles in quantum string-gravity we present a calculation of the corresponding S-matrix from the region of large impact parameters ($b \gg G\sqrt{s}>\lambda_s$) down to the regime where classical gravitational collapse is expected to occur. By solving the semiclassical equations of a previously introduced effective-action approximation, we find that the perturbative expansion around the leading eikonal result diverges at a critical value $b = b_c = O(G\sqrt{s})$, signalling the onset of a new (black-hole related?) regime. We then discuss the main features of our explicitly unitary S-matrix -- and of the associated effective metric -- down to (and in the vicinity of) $b = b_c$, and present some ideas and results on its extension all the way to the $ b \to 0$ region. We find that for $b

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