Departamento de Física, Universidade Estadual de Londrina - Campus Universitário, 86051-990, Londrina (PR), Brazil
Accepted: 17 September 2010
In this work, it will be shown that the gravitational field equations, described by the theory of general relativity, and the equations describing textures in nematic liquid crystals are surprisingly similar; it is possible to formulate the principles of both field equations using alike statements, leading to the establishment of a detailed correspondence between many of their aspects. As a consequence, the textures of nematic liquid crystals can be described by an Einstein-like equation, where the elastic-stress tensor replaces the energy momentum tensor, and, moreover, some aspects of the geometry of the gravitational field can be simulated in a nematic sample.
PACS: 42.70.Df – Liquid crystals / 61.30.-v – Liquid crystals / 64.70.M- – Transitions in liquid crystals
© EPLA, 2010