FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2010, VOLUME 16, NUMBER 1, PAGES 171-177

**String world surfaces in spaces with compact factor-manifolds**

G. S. Sharov

A. E. Milovidov

Abstract

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The closed string with point-like masses as the string hadron model
is considered in the $D$-dimensional space
$$*M* = R^{1,3} ´ T^{D -
4}, which is the direct product of the
Minkowski space and the compact manifold $TD$-
4 = S^{1} ´ ¼ ´
S^{1} ($(D$-
4)-dimensional torus).
Exact solutions of dynamical equations are obtained; in
a particular case of rotational states, they describe
a uniform rotation of the system.
These rotational states are classified, their physical properties are
studied, and Regge trajectories are determined.
Central and linear rotational states are tested for stability with
respect to small disturbances.
It is shown that the central rotational states are not stable if the
central mass it less than some threshold value.

Location: http://mech.math.msu.su/~fpm/eng/k10/k101/k10114h.htm

Last modified: March 11, 2011