We study the classical dynamics of a bosonic string in the Schwarzschild spacetime using a perturbative scheme which is based on the assumption of a small value of a rescaled string tension parameter. The proposed approximation selfconsistently describes the string dynamics on the scale of large values for the worldsheet time in a fixed gauge.
ROSHCHUPKIN, SERGEY and ZINCHENKO, YEVGENIY (2003) "The Motion of Cosmic Strings in the Schwarzschild Black Hole Spacetime," Turkish Journal of Physics: Vol. 27: No. 1, Article 3. Available at: https://journals.tubitak.gov.tr/physics/vol27/iss1/3