Classification of Cosmic Scale Factor via Noether Gauge Symmetries

被引：9

作者：

Jhangeer, Adil ^{[1
]}

Shamir, M. Farasat ^{[2
]}

Naz, Tayyaba ^{[2
]}

Iftikhar, Nazish ^{[2
]}

机构：

[1] Qassim Univ, Preparatory Year Unit, Deanship Educ Serv, Al Qassim 51452, Buraidah, Saudi Arabia

[2] Natl Univ Comp & Emerging Sci, Dept Sci & Humanities, Lahore, Pakistan

来源：

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2015年 / 54卷 / 07期

基金：

英国科研创新办公室;

关键词：

Friedmann-Robertson-Walker; Noether gauge symmetries; Scale factor; GEODESIC EQUATIONS; MODIFIED GRAVITY; DARK ENERGY; APPROXIMATE SYMMETRIES; CONSERVATION-LAWS; CONSTRAINTS; SUPERNOVAE; ISOMETRIES; MATTER;

D O I：

10.1007/s10773-014-2456-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, a complete classification of Friedmann-Robertson-Walker (FRW) spacetime by using approximate Noether approach is presented. Considered spacetime is discussed for three different types of universe i.e. flat, open and closed. Different forms of cosmic scale factor a with respect to the nature of the universe, which posses the nontrivial Noether gauge symmetries (NGS) are reported. The perturbed Lagrangian corresponding to FRW metric in the Noether equation is used to get Noether operators. For different types of universe minimal and maximal set of Noether operators are reported. A list of Noether operators is also computed which is not only independent from the choice of the cosmic scale factor but also from the type of universe. Further, corresponding energy type first integral of motions are also calculated.

引用

页码：2343 / 2353

页数：11

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