Exact solutions of Einstein field equations in perfect fluid distribution using Lie symmetry method

被引：9

作者：

Jyoti, Divya ^{[1
]}

Kumar, Sachin ^{[1
]}

Gupta, Rajesh Kumar ^{[1
,2
]}

机构：

[1] Cent Univ Punjab, Dept Math & Stat, Bathinda 151001, Punjab, India

[2] Cent Univ Haryana, Dept Math, Mahendragarh, Haryana, India

来源：

EUROPEAN PHYSICAL JOURNAL PLUS | 2020年 / 135卷 / 07期

关键词：

PARTIAL-DIFFERENTIAL EQUATIONS; DIRECT CONSTRUCTION METHOD; INVARIANT SOLUTIONS; CONSERVATION-LAWS;

D O I：

10.1140/epjp/s13360-020-00622-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The exact non-static accelerating solutions of Einstein field equations in perfect fluid distribution with nonzero shear in the texture gas dominated universe corresponding to an indefinite non-degenerate metric in cartesian coordinates are obtained in a gravitational field of Petrov type D. Lie symmetry method is used for reduction and finding trigonometric solutions. By following multiplier approach, the conservation laws are obtained. The graphical representations are also shown.

引用

页数：10

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