首页|Non-static plane symmetric perfect fluid solutions and Killing symmetries in f(R,T)gravity

Non-static plane symmetric perfect fluid solutions and Killing symmetries in f(R,T)gravity

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In this paper,the non-static solutions for perfect fluid distribution with plane symmetry in f(R,T)gravitational theory are obtained.Firstly,using the Lie symmetries,symmetry reductions are performed for considered vector fields to reduce the number of independent variables.Then,corresponding to each reduction,exact solutions are obtained.Killing vectors lead to different conserved quantities.Therefore,we figure out the Killing vector fields corresponding to all derived solutions.The derived solutions are further studied and it is observed that all of the obtained spacetimes,at least admit to the minimal symmetry group which consists of ∂y,∂z and-z∂y+y∂z.The obtained metrics,admit to 3,4,6,and 10,Killing vector fields.Conservation of linear momentum in the direction of y and z,and angular momentum along the x axis is provided by all derived solutions.

Einstein field equationsperfect fluid solutionsf(RT)gravitykilling symmetries

Preeti Dalal、Karanjeet Singh、Sachin Kumar

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Department of Mathematics and Statistics,Central University of Punjab,Bathinda,151401,Punjab,India

Department of Mathematics,Jaypee University of Information Technology,Solan,173234,Himachal Pradesh,India

UGC in the form of the JRF fellowship via letter NTA Refscheme'Fund for Improvement of Science and Technology Infrastructure(FIST)'of the Department of Science &Technology(DST),GovDepartment of Mathematics and Statistics,Central University of Punjab

201610006334SR/FST/MS-I/2021/104

2024

10.1088/1572-9494/ad08ab

理论物理通讯(英文版)
中国科学院理论物理研究所 中国物理学会

理论物理通讯(英文版)

CSTPCD
影响因子：0.333
ISSN：0253-6102
年,卷(期)：2024.76(2)
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