Conformally Flat Pseudoprojective Symmetric Spacetimes in fR,G Gravity
Sufficient conditions on a pseudoprojective symmetric spacetime PPSn whose Ricci tensor is of Codazzi type to be either a perfect fluid or Einstein spacetime are given. Also, it is shown that a PPSn is Einstein if its Ricci tensor is cyclic parallel. Next, we illustrate that a conformally flat PP...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2022/3096782 |
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| _version_ | 1832564883582877696 |
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| author | Uday Chand De Sameh Shenawy Abdallah Abdelhameed Syied Nasser Bin Turki |
| author_facet | Uday Chand De Sameh Shenawy Abdallah Abdelhameed Syied Nasser Bin Turki |
| author_sort | Uday Chand De |
| collection | DOAJ |
| description | Sufficient conditions on a pseudoprojective symmetric spacetime PPSn whose Ricci tensor is of Codazzi type to be either a perfect fluid or Einstein spacetime are given. Also, it is shown that a PPSn is Einstein if its Ricci tensor is cyclic parallel. Next, we illustrate that a conformally flat PPSn spacetime is of constant curvature. Finally, we investigate conformally flat PPS4 spacetimes and conformally flat PPS4 perfect fluids in fR,G theory of gravity, and amongst many results, it is proved that the isotropic pressure and the energy density of conformally flat perfect fluid PPS4 spacetimes are constants and such perfect fluid behaves like a cosmological constant. Further, in this setting, we consider some energy conditions. |
| format | Article |
| id | doaj-art-4b77cfc7f9454533bb0539f851e7b69e |
| institution | Kabale University |
| issn | 1687-9139 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-4b77cfc7f9454533bb0539f851e7b69e2025-02-03T01:09:59ZengWileyAdvances in Mathematical Physics1687-91392022-01-01202210.1155/2022/3096782Conformally Flat Pseudoprojective Symmetric Spacetimes in fR,G GravityUday Chand De0Sameh Shenawy1Abdallah Abdelhameed Syied2Nasser Bin Turki3Department of Pure MathematicsBasic Science DepartmentDepartment of MathematicsDepartment of MathematicsSufficient conditions on a pseudoprojective symmetric spacetime PPSn whose Ricci tensor is of Codazzi type to be either a perfect fluid or Einstein spacetime are given. Also, it is shown that a PPSn is Einstein if its Ricci tensor is cyclic parallel. Next, we illustrate that a conformally flat PPSn spacetime is of constant curvature. Finally, we investigate conformally flat PPS4 spacetimes and conformally flat PPS4 perfect fluids in fR,G theory of gravity, and amongst many results, it is proved that the isotropic pressure and the energy density of conformally flat perfect fluid PPS4 spacetimes are constants and such perfect fluid behaves like a cosmological constant. Further, in this setting, we consider some energy conditions.http://dx.doi.org/10.1155/2022/3096782 |
| spellingShingle | Uday Chand De Sameh Shenawy Abdallah Abdelhameed Syied Nasser Bin Turki Conformally Flat Pseudoprojective Symmetric Spacetimes in fR,G Gravity Advances in Mathematical Physics |
| title | Conformally Flat Pseudoprojective Symmetric Spacetimes in fR,G Gravity |
| title_full | Conformally Flat Pseudoprojective Symmetric Spacetimes in fR,G Gravity |
| title_fullStr | Conformally Flat Pseudoprojective Symmetric Spacetimes in fR,G Gravity |
| title_full_unstemmed | Conformally Flat Pseudoprojective Symmetric Spacetimes in fR,G Gravity |
| title_short | Conformally Flat Pseudoprojective Symmetric Spacetimes in fR,G Gravity |
| title_sort | conformally flat pseudoprojective symmetric spacetimes in fr g gravity |
| url | http://dx.doi.org/10.1155/2022/3096782 |
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