Strings falling into spacetime singularities

Details Strings falling into spacetime singularities Strings falling into spacetime singularities

Apr 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992phrvd..45.2783d&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 45, Issue 8, 15 April 1992, pp.2783-2793

Physics

46

Scientific paper

We study the dynamics of strings near spacetime singularities. We consider gravitational-wave backgrounds with a singularity of the type ||U||-β, U being a null coordinate. [The case with a δ(U) shock-wave singularity turns out to be similar to the β=1 case.] New features in the string behavior appear: when β>=2, the string does not propagate through the gravitational wave and it escapes to infinity grazing the singularity plane U=0; one transverse coordinate does not oscillate in time (neither classically nor quantum mechanically) and the tunnel effect does not take place. The expectation value of the mass squared > and mode number > operators and of the energy-momentum tensor are computed. When the transverse size (ρ0) of the gravitational-wave front is infinite, divergences in > and > appear for 1<=β<2 and 3/2<=β<2, respectively. We argue that the short-distance spacetime singularity at U=0 is not responsible for these divergences, but the infinite amount of energy carried by the gravitational wave when ρ0=∞. In summary, the propagation of strings through these singular spacetimes is proven to be physically meaningful for β>=2 and β<1. We conjecture that this is also the case for 1<=β<2.

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