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How a projectively flat geometry regulates F(R)-gravity theory?

In the present paper we examine a projectively flat spacetime solution of F(R)-gravity theory. It is seen that once we deploy projective flatness in the geometry of the spacetime, the matter field has constant energy density and isotropic pressure. We then make the condition weaker and discuss the e...

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Main Authors: Loo, Tee-How, De, Avik, Mandal, Sanjay, Sahoo, P K
Format: Article
Published: 2021
Subjects:
QC Physics
Online Access:http://eprints.um.edu.my/26266/
https://doi.org/10.1088/1402-4896/ac3a51
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spelling my.um.eprints.262662022-02-22T04:48:17Z http://eprints.um.edu.my/26266/ How a projectively flat geometry regulates F(R)-gravity theory? Loo, Tee-How De, Avik Mandal, Sanjay Sahoo, P K QC Physics In the present paper we examine a projectively flat spacetime solution of F(R)-gravity theory. It is seen that once we deploy projective flatness in the geometry of the spacetime, the matter field has constant energy density and isotropic pressure. We then make the condition weaker and discuss the effects of projectively harmonic spacetime geometry in F(R)-gravity theory and show that the spacetime in this case reduces to a generalised Robertson-Walker spacetime with a shear, vorticity, acceleration free perfect fluid with a specific form of expansion scalar presented in terms of the scale factor. Role of conharmonic curvature tensor in the spacetime geometry is also briefly discussed. Some analysis of the obtained results are conducted in terms of couple of F(R)-gravity models. 2021-12 Article PeerReviewed Loo, Tee-How and De, Avik and Mandal, Sanjay and Sahoo, P K (2021) How a projectively flat geometry regulates F(R)-gravity theory? Physica Scripta, 96 (12). p. 125034. ISSN 0031-8949, DOI https://doi.org/10.1088/1402-4896/ac3a51 <https://doi.org/10.1088/1402-4896/ac3a51>. https://doi.org/10.1088/1402-4896/ac3a51 doi:10.1088/1402-4896/ac3a51
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 QC Physics
spellingShingle QC Physics
Loo, Tee-How
De, Avik
Mandal, Sanjay
Sahoo, P K
How a projectively flat geometry regulates F(R)-gravity theory?
description In the present paper we examine a projectively flat spacetime solution of F(R)-gravity theory. It is seen that once we deploy projective flatness in the geometry of the spacetime, the matter field has constant energy density and isotropic pressure. We then make the condition weaker and discuss the effects of projectively harmonic spacetime geometry in F(R)-gravity theory and show that the spacetime in this case reduces to a generalised Robertson-Walker spacetime with a shear, vorticity, acceleration free perfect fluid with a specific form of expansion scalar presented in terms of the scale factor. Role of conharmonic curvature tensor in the spacetime geometry is also briefly discussed. Some analysis of the obtained results are conducted in terms of couple of F(R)-gravity models.
format Article
author Loo, Tee-How
De, Avik
Mandal, Sanjay
Sahoo, P K
author_facet Loo, Tee-How
De, Avik
Mandal, Sanjay
Sahoo, P K
author_sort Loo, Tee-How
title How a projectively flat geometry regulates F(R)-gravity theory?
title_short How a projectively flat geometry regulates F(R)-gravity theory?
title_full How a projectively flat geometry regulates F(R)-gravity theory?
title_fullStr How a projectively flat geometry regulates F(R)-gravity theory?
title_full_unstemmed How a projectively flat geometry regulates F(R)-gravity theory?
title_sort how a projectively flat geometry regulates f(r)-gravity theory?
publishDate 2021
url http://eprints.um.edu.my/26266/
https://doi.org/10.1088/1402-4896/ac3a51
_version_ 1735409392906403840
score 13.160551

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