Classification of static cylindrically symmetric spacetimes in f(R) theory of gravity by conformal motions with perfect fluid matter
Abstract Assuming the source of energy momentum tensor as perfect fluid, a classification of static cylindrically symmetric spacetimes in f(R) theory of gravity by conformal vector fields (CVFs) is presented. For the classification purpose, we put different conditions on metric coefficients to obtai...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-08-01
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| Series: | Arabian Journal of Mathematics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/s40065-018-0215-7 |
| _version_ | 1818155321427755008 |
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| author | Fiaz Hussain Ghulam Shabbir Muhammad Ramzan |
| author_facet | Fiaz Hussain Ghulam Shabbir Muhammad Ramzan |
| author_sort | Fiaz Hussain |
| collection | DOAJ |
| description | Abstract Assuming the source of energy momentum tensor as perfect fluid, a classification of static cylindrically symmetric spacetimes in f(R) theory of gravity by conformal vector fields (CVFs) is presented. For the classification purpose, we put different conditions on metric coefficients to obtain solutions in f(R) theory of gravity. By means of some algebraic and direct integration techniques, it is shown that the dimension of CVFs for the considered spacetimes turns out to be 4, 5, or 15. |
| first_indexed | 2024-12-11T14:40:33Z |
| format | Article |
| id | doaj.art-02072425dbf94712b068ec21c69531ab |
| institution | Directory Open Access Journal |
| issn | 2193-5343 2193-5351 |
| language | English |
| last_indexed | 2024-12-11T14:40:33Z |
| publishDate | 2018-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Arabian Journal of Mathematics |
| spelling | doaj.art-02072425dbf94712b068ec21c69531ab2022-12-22T01:01:56ZengSpringerOpenArabian Journal of Mathematics2193-53432193-53512018-08-018211512310.1007/s40065-018-0215-7Classification of static cylindrically symmetric spacetimes in f(R) theory of gravity by conformal motions with perfect fluid matterFiaz Hussain0Ghulam Shabbir1Muhammad Ramzan2Department of Mathematics, The Islamia University of BahawalpurFaculty of Engineering Sciences, GIK Institute of Engineering Sciences and TechnologyDepartment of Mathematics, The Islamia University of BahawalpurAbstract Assuming the source of energy momentum tensor as perfect fluid, a classification of static cylindrically symmetric spacetimes in f(R) theory of gravity by conformal vector fields (CVFs) is presented. For the classification purpose, we put different conditions on metric coefficients to obtain solutions in f(R) theory of gravity. By means of some algebraic and direct integration techniques, it is shown that the dimension of CVFs for the considered spacetimes turns out to be 4, 5, or 15.http://link.springer.com/article/10.1007/s40065-018-0215-783C0583C1583C20 |
| spellingShingle | Fiaz Hussain Ghulam Shabbir Muhammad Ramzan Classification of static cylindrically symmetric spacetimes in f(R) theory of gravity by conformal motions with perfect fluid matter Arabian Journal of Mathematics 83C05 83C15 83C20 |
| title | Classification of static cylindrically symmetric spacetimes in f(R) theory of gravity by conformal motions with perfect fluid matter |
| title_full | Classification of static cylindrically symmetric spacetimes in f(R) theory of gravity by conformal motions with perfect fluid matter |
| title_fullStr | Classification of static cylindrically symmetric spacetimes in f(R) theory of gravity by conformal motions with perfect fluid matter |
| title_full_unstemmed | Classification of static cylindrically symmetric spacetimes in f(R) theory of gravity by conformal motions with perfect fluid matter |
| title_short | Classification of static cylindrically symmetric spacetimes in f(R) theory of gravity by conformal motions with perfect fluid matter |
| title_sort | classification of static cylindrically symmetric spacetimes in f r theory of gravity by conformal motions with perfect fluid matter |
| topic | 83C05 83C15 83C20 |
| url | http://link.springer.com/article/10.1007/s40065-018-0215-7 |
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