Impact of curvature based geometric constraints on F(R) theory
Theories of gravity are fundamentally a relation between matter and the geometric structure of the underlying spacetime. So once we put some additional restrictions on the spacetime geometry, the theory of gravity is bound to get the impact, irrespective of whether it is general relativity or the mo...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Published: |
SpringerOpen
2022
|
| Subjects: | |
| Online Access: | http://eprints.um.edu.my/41534/ |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| id |
my.um.eprints.41534 |
|---|---|
| record_format |
eprints |
| spelling |
my.um.eprints.415342023-11-03T06:29:17Z http://eprints.um.edu.my/41534/ Impact of curvature based geometric constraints on F(R) theory Loo, Tee How De, Avik Arora, Simran Sahoo, P. K. QA Mathematics Theories of gravity are fundamentally a relation between matter and the geometric structure of the underlying spacetime. So once we put some additional restrictions on the spacetime geometry, the theory of gravity is bound to get the impact, irrespective of whether it is general relativity or the modified theories of gravity. In the present article, we consider two curvature-based constraints, namely the almost pseudo-Ricci symmetric and weakly Ricci symmetric condition. As a novel result, such spacetimes with non-null associated vectors are entirely classified, and then applying the obtained results, we investigate these spacetimes as solutions of the F(R)-gravity theory. The modified Friedmann equations are derived and analysed in a model-independent way first. Finally, two F(R) gravity models are examined for recent observational constrained values of the deceleration, jerk, and Hubble parameters. We further discuss the behavior of energy conditions. SpringerOpen 2022-08-13 Article PeerReviewed Loo, Tee How and De, Avik and Arora, Simran and Sahoo, P. K. (2022) Impact of curvature based geometric constraints on F(R) theory. The European Physical Journal C, 82 (8). ISSN 1434-6044, DOI https://doi.org/10.1140/epjc/s10052-022-10672-8 <https://doi.org/10.1140/epjc/s10052-022-10672-8>. 10.1140/epjc/s10052-022-10672-8 |
| institution |
Universiti Malaya |
| building |
UM Library |
| collection |
Institutional Repository |
| continent |
Asia |
| country |
Malaysia |
| content_provider |
Universiti Malaya |
| content_source |
UM Research Repository |
| url_provider |
http://eprints.um.edu.my/ |
| topic |
QA Mathematics |
| spellingShingle |
QA Mathematics Loo, Tee How De, Avik Arora, Simran Sahoo, P. K. Impact of curvature based geometric constraints on F(R) theory |
| description |
Theories of gravity are fundamentally a relation between matter and the geometric structure of the underlying spacetime. So once we put some additional restrictions on the spacetime geometry, the theory of gravity is bound to get the impact, irrespective of whether it is general relativity or the modified theories of gravity. In the present article, we consider two curvature-based constraints, namely the almost pseudo-Ricci symmetric and weakly Ricci symmetric condition. As a novel result, such spacetimes with non-null associated vectors are entirely classified, and then applying the obtained results, we investigate these spacetimes as solutions of the F(R)-gravity theory. The modified Friedmann equations are derived and analysed in a model-independent way first. Finally, two F(R) gravity models are examined for recent observational constrained values of the deceleration, jerk, and Hubble parameters. We further discuss the behavior of energy conditions. |
| format |
Article |
| author |
Loo, Tee How De, Avik Arora, Simran Sahoo, P. K. |
| author_facet |
Loo, Tee How De, Avik Arora, Simran Sahoo, P. K. |
| author_sort |
Loo, Tee How |
| title |
Impact of curvature based geometric constraints on F(R) theory |
| title_short |
Impact of curvature based geometric constraints on F(R) theory |
| title_full |
Impact of curvature based geometric constraints on F(R) theory |
| title_fullStr |
Impact of curvature based geometric constraints on F(R) theory |
| title_full_unstemmed |
Impact of curvature based geometric constraints on F(R) theory |
| title_sort |
impact of curvature based geometric constraints on f(r) theory |
| publisher |
SpringerOpen |
| publishDate |
2022 |
| url |
http://eprints.um.edu.my/41534/ |
| _version_ |
1781777954500509696 |
| score |
13.211869 |