Abstract
A new formulation for the action of the Nambu-Goto string moving in curved space-time is studied. The action contains a two-dimensional “cosmological” world-sheet term multiplied by a tension parameter. It is shown that when treating this cosmological term as a perturbation, nonlinear equations for the string can be linearized. It is argued that in the zeroth-order approximation with respect to the tension, strings and membranes can be considered as dominant gravitation sources for the Friedmann universe with κ=0.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 111, No. 3, pp. 402–412, June, 1997.
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Zheltukhin, A.A., Roshchupkin, S.N. On an approximate description of string andp-brane dynamics in curved space-time. Theor Math Phys 111, 714–722 (1997). https://doi.org/10.1007/BF02634059
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DOI: https://doi.org/10.1007/BF02634059