Energy Conditions and Conservation Laws in LRS Bianchi Type Ⅰ Spacetimes via Noether Symmetries

• 来源期刊: 理论物理通讯（英文版）
• 年，卷（期）: 2019,（3）
• 页码范围: 298-306
• 页数: 9页
• 语种: 英文
• DOI: 10.1088/0253-6102/71/3/298

摘要

In this paper,we have completely classified the locally rotationally symmetric (LRS) Bianchi type I spacetimes via Noether symmetries (NS).The usual Lagrangian corresponding to LRS Bianchi type Ⅰ metricis used to find the set of determining equations.To achieve a complete classification,these determining equations are generally integrated to find the components of NS vector field and the metric coefficients.During this procedure,severaJ cases arise which give different Noether algebras of dimension 5,...,9,11,and 17.A comparison is established between the obtained NS and the Killing and homothetic vectors.Corresponding to all NS generators,the conservation laws are stated by using Noether's theorem.The metrics which we have obtained as a result of our classification are shown to be anisotropic or perfect fluids which satisfy certain energy conditions.