Curved-spacetime metric generated by Planckian energy string collisions

Details Curved-spacetime metric generated by Planckian energy string collisions Curved-spacetime metric generated by Planckian energy string collisions

Nov 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992phrvd..46.4520l&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 46, Issue 10, 15 November 1992, pp.4520-4525

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Scientific paper

We study Planckian energy string collisions in flat spacetime as the scattering of a string in the effective curved background produced by the others as the impact parameter b decreases. We find the effective energy-density distribution σ(ρ)~exp\{-ρ2/Δ2\}, generated by these collisions. Two different regimes can be studied: intermediate impact parameters xd<> √α'lns ~=Δ/2>>xd. The effective metric generated by these collisions for large b is a gravitational shock wave of profile f(ρ)~pρ4-D, i.e., the Aichelburg-Sexl (AS) geometry for a pointlike particle of momentum p. For intermediate b, f(ρ)~qρ2, corresponding to an extended source of momentum q. The scattering matrix in this geometry and its implications for the string collision process are analyzed. We show that the poles iGs=n, n=0,1,2,. . ., characteristic of the scattering by the AS geometry are absent here, due to the extended nature of the effective source.

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