Approximate Solutions of the LRS Bianchi Type-<i>I</i> Cosmological Model

In this current study, we explore the modified homogeneous cosmological model in the background of LRS Bianchi type-<i>I</i> space&#8722;time. For this purpose, we employ the Homotopy Perturbation Method (HPM). HPM is an analytical-based method. Further, we calculated the main field...

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Main Authors: Yihu Feng, Lei Hou
Format: Article
Language:English
Published: MDPI AG 2020-03-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/12/3/403
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author Yihu Feng
Lei Hou
author_facet Yihu Feng
Lei Hou
author_sort Yihu Feng
collection DOAJ
description In this current study, we explore the modified homogeneous cosmological model in the background of LRS Bianchi type-<i>I</i> space&#8722;time. For this purpose, we employ the Homotopy Perturbation Method (HPM). HPM is an analytical-based method. Further, we calculated the main field equations of the cosmological model LRS Bianchi type-<i>I</i> space&#8722;time. Furthermore, we discuss the necessary calculations of HPM. Therefore, we investigate the analytical solution of our problem by adopting HPM. In this response, we discuss five different values of parameter n. We also give a brief discussion about solutions. The main purpose of this study is to apply the application of HPM in the cosmological field.
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spelling doaj.art-9b4eb00254ef4880937fcf444764d5302022-12-22T02:53:14ZengMDPI AGSymmetry2073-89942020-03-0112340310.3390/sym12030403sym12030403Approximate Solutions of the LRS Bianchi Type-<i>I</i> Cosmological ModelYihu Feng0Lei Hou1Department of Mathematics, Shanghai University, Shanghai 200444, ChinaDepartment of Mathematics, Shanghai University, Shanghai 200444, ChinaIn this current study, we explore the modified homogeneous cosmological model in the background of LRS Bianchi type-<i>I</i> space&#8722;time. For this purpose, we employ the Homotopy Perturbation Method (HPM). HPM is an analytical-based method. Further, we calculated the main field equations of the cosmological model LRS Bianchi type-<i>I</i> space&#8722;time. Furthermore, we discuss the necessary calculations of HPM. Therefore, we investigate the analytical solution of our problem by adopting HPM. In this response, we discuss five different values of parameter n. We also give a brief discussion about solutions. The main purpose of this study is to apply the application of HPM in the cosmological field.https://www.mdpi.com/2073-8994/12/3/403lrs bianchi type-<i>i</i> space–timehpmcosmological model
spellingShingle Yihu Feng
Lei Hou
Approximate Solutions of the LRS Bianchi Type-<i>I</i> Cosmological Model
Symmetry
lrs bianchi type-<i>i</i> space–time
hpm
cosmological model
title Approximate Solutions of the LRS Bianchi Type-<i>I</i> Cosmological Model
title_full Approximate Solutions of the LRS Bianchi Type-<i>I</i> Cosmological Model
title_fullStr Approximate Solutions of the LRS Bianchi Type-<i>I</i> Cosmological Model
title_full_unstemmed Approximate Solutions of the LRS Bianchi Type-<i>I</i> Cosmological Model
title_short Approximate Solutions of the LRS Bianchi Type-<i>I</i> Cosmological Model
title_sort approximate solutions of the lrs bianchi type i i i cosmological model
topic lrs bianchi type-<i>i</i> space–time
hpm
cosmological model
url https://www.mdpi.com/2073-8994/12/3/403
work_keys_str_mv AT yihufeng approximatesolutionsofthelrsbianchitypeiiicosmologicalmodel
AT leihou approximatesolutionsofthelrsbianchitypeiiicosmologicalmodel