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Vacuum Solutions of FRW and Axially Symmetric space-time in f(R) Theory of Gravity

2017/03/18 by P. K. Agrawal, Agrawal, P. K., D. D. Pawar +1
Earth and Planetary Sciences · Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geophysics and Gravity Measurements #Relativity and Gravitational Theory

paper · pdf · doi:10.48550/arxiv.1703.06258

openalex publication_date 2017/03/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the present paper an attempt has been made to study the spatially homogeneous and isotropic FRW model and axially symmetric spacetime in f(R) theory of gravity. We have obtained the solutions of the field equations in vacuum. To find the solutions of axially symmetric space-time we have assumed the relation between scale factor and scalar field and also we considered that scalar expansion (θ) in the model is proportional to shear scalar (σ). The physical behavior for both models have been discussed by using physical parameters. The function of Ricci scalar is investigated for these models. Key words: f(R) theory of gravity, FRW universe, Axially symmetric space-time.

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