Motion of membranes in space-times with torsion

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

CLASSICAL AND QUANTUM GRAVITY, cilt.36, sa.19, 2019 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 36 Sayı: 19
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1088/1361-6382/ab3a12
  • Dergi Adı: CLASSICAL AND QUANTUM GRAVITY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: membrane motion, classical immersions, torsion, generalized Killing spinors
  • Ankara Üniversitesi Adresli: Evet

Özet

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.