Positive Energy Condition and Conservation Laws in Kantowski-Sachs Spacetime via Noether Symmetries

被引：6
作者：
Akhtar, Sumaira Saleem [1 ]
Hussain, Tahir [1 ]
Bokhari, Ashfaque H. [2 ]
机构：
[1] Univ Peshawar, Dept Math, Peshawar 25000, Khyber Pakhtunk, Pakistan
[2] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia
来源：
SYMMETRY-BASEL | 2018年 / 10卷 / 12期
关键词：
Noether symmetries; conservation laws; Kantowski-Sachs metric; CURVATURE COLLINEATIONS; CLASSIFICATION; RICCI; TIMES;
D O I：
10.3390/sym10120712
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we have investigated Noether symmetries of the Lagrangian of Kantowski-Sachs spacetime. The associated Lagrangian of the Kantowski-Sachs metric is used to derive the set of determining equations. Solving the determining equations for several values of the metric functions, it is observed that the Kantowski-Sachs spacetime admits the Noether algebra of dimensions 5, 6, 7, 8, 9, and 11. A comparison of the obtained Noether symmetries with Killing and homothetic vectors is also presented. With the help of Noether's theorem, we have presented the expressions for conservation laws corresponding to all Noether symmetries. It is observed that the positive energy condition is satisfied for most of the obtained metrics.
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页数：12
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