From the elasticity theory to cosmology and vice versa

作     者：LEVRINO Luca TARTAGLIA Angelo 

作者机构：Politecnico di Torino Department of Applied Science and Technology Corso Duca degli Abruzzi 2410129 Torino Italy 

出 版 物：《Science China(Physics,Mechanics & Astronomy)》 (中国科学：物理学、力学、天文学（英文版）)

年 卷 期：2014年第57卷第4期

页      面：597-603页

核心收录：

学科分类：07[理学] 08[工学] 070401[理学-天体物理] 0704[理学-天文学] 080102[工学-固体力学] 0801[工学-力学（可授工学、理学学位）] 

主　　题：deformable solids cosmology elastic strain Lagrangian density and tensors 

摘      要：The paper shows how a generalization of the elasticity theory to four dimensions and to space-time allows for a consistent description of the homogeneous and isotropic universe,including the accelerated *** analogy is manifested by the inclusion in the traditional Lagrangian of general relativity of an additional term accounting for the strain induced in the manifold(*** space-time)by the curvature,be it induced by the presence of a texture defect or by a matter/energy *** additional term is su?cient to account for various observed features of the universe and to give a simple interpretation for the so called dark ***,we show how the same approach can be adopted back in three dimensions to obtain the equilibrium configuration of a given solid subject to strain induced by defects or applied ***,it is shown how concepts coming from the familiar elasticity theory can inspire new approaches to cosmology and in return how methods appropriated to General Relativity can be applied back to classical problems of elastic deformations in three dimensions.