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

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

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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.

Item Type: Article
Uncontrolled Keywords: f(R) gravity; Flat geometry; Energy conditions; FRW metric
Subjects: Q Science > QC Physics
Divisions: Faculty of Science
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 22 Feb 2022 04:48
Last Modified: 22 Feb 2022 04:48

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