2019/03/18 by Özgür Açık, Aytolun Çatalkaya, Ümit Ertem +1
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Cauchy stress tensor #Classical mechanics #Curvature #Exact solutions in general relativity #Geometry #Hypersurface #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Relativity and Gravitational Theory #Riemann curvature tensor #Spinor #Tensor field #Torsion (gastropod) #Viscous stress tensor #Weyl tensor #gr-qc #hep-th #math-ph #math.MP
paper · pdf · doi:10.1088/1361-6382/ab3a12
published as Class. Quantum Grav. 36 (2019) 195010 · 20 pages
arxiv created 2019/03/18 · openalex publication_date 2019/08/09 · arxiv updated 2019/10/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Abstract 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 Önder–Tucker bubbles are considered as special cases. An example of the membrane motion on a manifold admitting a generalized Killing spinor is given.