Curved-spacetime metric generated by Planckian energy string collisions

Journal Article · Sun Nov 15 04:00:00 EST 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.46.4520· OSTI ID:7002582

Lousto, C O; Sanchez, N ^[1]

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1. Observatorie de Paris, Section Meudon, DEMIRM, Observatoire de Meudon et Ecole Normale Superieure, 92195 Meudon Principal CEDEX (France)

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 {ital b} decreases. We find the effective energy-density distribution {sigma}({rho}){similar to}exp{l brace}{minus}{rho}{sup 2}/{Delta}{sup 2}{r brace}, generated by these collisions. Two different regimes can be studied: intermediate impact parameters {ital x}{sup {ital d}}{much lt}{ital b}{much lt} {radical}{alpha}{prime}ln{ital s} {congruent}{Delta}/2 ({ital x}{sup {ital d}} characterizing the string fluctuations) and large impact parameters {ital b}{much gt} {radical}{alpha}{prime}ln{ital s} {congruent}{Delta}/2{much gt}x{sup d}. The effective metric generated by these collisions for large {ital b} is a gravitational shock wave of profile {ital f}({rho}){similar to}{ital p}{rho}{sup 4{minus}{ital D}}, i.e., the Aichelburg-Sexl (AS) geometry for a pointlike particle of momentum {ital p}. For intermediate {ital b}, {ital f}({rho}){similar to}{ital q}{rho}{sup 2}, corresponding to an extended source of momentum {ital q}. The scattering matrix in this geometry and its implications for the string collision process are analyzed. We show that the poles {ital iGs}={ital n}, {ital n}=0,1,2,. . ., characteristic of the scattering by the AS geometry are absent here, due to the extended nature of the effective source.

• OSTI ID: 7002582
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 46:10; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
662130 -- General Theory of Particles & Fields-- S-Matrix Theory
Relativistic Scattering Theory-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMPOSITE MODELS
DIFFERENTIAL EQUATIONS
ENERGY DENSITY
ENERGY RANGE
ENERGY SPECTRA
EQUATIONS
EXTENDED PARTICLE MODEL
GRAVITATIONAL WAVES
IMPACT PARAMETER
INTERACTIONS
KLEIN-GORDON EQUATION
MATHEMATICAL MODELS
MATRICES
METRICS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE INTERACTIONS
PARTICLE MODELS
QUARK MODEL
RELATIVISTIC RANGE
S MATRIX
SCATTERING
SHOCK WAVES
SPACE-TIME
SPECTRA
STRING MODELS
WAVE EQUATIONS