Motion of membranes in space-times with torsion

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AÇIK Ö., Catalkaya A., Ertem U., Sutemen O.

CLASSICAL AND QUANTUM GRAVITY, vol.36, no.19, 2019 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 36 Issue: 19
  • Publication Date: 2019
  • Doi Number: 10.1088/1361-6382/ab3a12
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: membrane motion, classical immersions, torsion, generalized Killing spinors
  • Ankara University Affiliated: Yes


The motion of membranes interacting with external fields in space-times with curvature and torsion is considered. The intrinsic and extrinsic properties of the immersion are fused together to form a stress tensor for the corresponding material hypersurface. This geometro-elastic stress tensor is part of the total stress tensor which is no longer symmetric or divergence-free because of the presence of torsion. The equation of motion of the membrane is given by equating the total stress tensor to a non-zero value determined by the curvature and torsion of the ambient space-time. Dirac and Onder-Tucker bubbles are considered as special cases. An example of the membrane motion on a manifold admitting a generalized Killing spinor is given.