article · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · 1992
Curved-spacetime metric generated by Planckian energy string collisions
Cited by 14Abstract and details only
Abstract
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 $\ensuremath{\sigma}(\ensuremath{\rho})\ensuremath{\sim}\mathrm{exp}{\frac{{\ensuremath{-}\ensuremath{\rho}}^{2}}{{\ensuremath{\Delta}}^{2}}}$, generated by these collisions. Two different regimes can be studied: intermediate impact parameters ${x}^{d}<<b<<\sqrt{{\ensuremath{\alpha}}^{\ensuremath{'}}\mathrm{ln}s}\ensuremath{\simeq}\frac{\ensuremath{\Delta}}{2}$ (${x}^{d}$ characterizing the string fluctuations) and large impact parameters $b>>\sqrt{{\ensuremath{\alpha}}^{\ensuremath{'}}\mathrm{ln}s}\ensuremath{\simeq}\frac{\ensuremath{\Delta}}{2}>>{x}^{d}$. The effective metric generated by these collisions for large $b$ is a gravitational shock wave of profile $f(\ensuremath{\rho})\ensuremath{\sim}p{\ensuremath{\rho}}^{4\ensuremath{-}D}$, i.e., the Aichelburg-Sexl (AS) geometry for a pointlike particle of momentum $p$. For intermediate $b$, $f(\ensuremath{\rho})\ensuremath{\sim}q{\ensuremath{\rho}}^{2}$, 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 $iGs=n$, $n=0,1,2,\dots{}$, characteristic of the scattering by the AS geometry are absent here, due to the extended nature of the effective source.
Cite this paper
Loustó, C. O., & Sánchez, N. (1992). Curved-spacetime metric generated by Planckian energy string collisions. Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields, 46(10), 4520–4525. https://doi.org/10.1103/physrevd.46.4520
Loustó, C. O., and N. Sánchez. “Curved-spacetime metric generated by Planckian energy string collisions.” Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields, vol. 46, no. 10, 1992, pp. 4520–25, https://doi.org/10.1103/physrevd.46.4520.
Loustó, C. O., and N. Sánchez. 1992. “Curved-spacetime metric generated by Planckian energy string collisions.” Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 46 (10): 4520–25. https://doi.org/10.1103/physrevd.46.4520.
Loustó, C.O. and Sánchez, N. (1992) ‘Curved-spacetime metric generated by Planckian energy string collisions’, Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields, 46(10), pp. 4520–4525. Available at: https://doi.org/10.1103/physrevd.46.4520.
@article{lousto1992curved,
title = {{Curved-spacetime metric generated by Planckian energy string collisions}},
author = {Loustó, C. O. and Sánchez, N.},
journal = {Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields},
volume = {46},
number = {10},
pages = {4520--4525},
year = {1992},
doi = {10.1103/physrevd.46.4520}
}Made from the index record. Check names, capitalisation and page numbers against the paper. Need another style? AI for Research has over 10,000.