Projective spacetime-geometry of smectic A textures

Hollemann, Florian

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Projective spacetime-geometry of smectic A textures

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Hollemann, Florian
Group Non-equilibrium soft matter, Department of Dynamics of Complex Fluids, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Hollemann, F. (2014). Projective spacetime-geometry of smectic A textures. Bachelor Thesis, Georg-August-Universität, Göttingen.

Cite as: https://hdl.handle.net/11858/00-001M-0000-002B-2D93-D

Abstract

The aim of this work is to get a relation between smectics (SmA) and relativity theory. Through whose spacetime symmetries one obtain new insights about SmA. The properties of SmA are decisive determined by “focal conic domains“ (FCD) respectively the “focal lines“. With FCD one attain to Minkowskispacetime and identified SmA to projections of intersecting light cones. Then generalised that to curved spacetimes: de-Sitter-spacetime and anti-de-Sitter-spacetime. Finally one transform the free energy density between SmA’s by using spacetime symmetries.