This article is cited in 4 papers

An approximate description of string and $p$-brane dynamics in curved sрace-times

A. A. Zheltukhin^a, S. N. Roshchupkin<sup>b

a</sup> National Science Centre Kharkov Institute of Physics and Technology
^b Simferopol State University

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 the consideration of this cosmological term as a perturbative addition allows one to linearise nonlinear equation for the string. It is argued that in zero approximation with respect to tension of strings and membranes can be considered as dominant gravitation sources for the Friedmann universe with $\kappa=0$.

Received: 15.06.1995
Revised: 23.01.1997

DOI: 10.4213/tmf1017

 English version: Theoretical and Mathematical Physics, 1997, 111:3, 714–722

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