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Invariant Solutions of Einstein’s Field Equations for Conformally Flat Fluid Spheres of Embedding Class One

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Abstract

In the present paper, conformal spherical symmetric perfect fluid solutions to Einstein’s field equations are obtained by using the invariance of the equations under the Lie group of transformations. All the solutions thus obtained are analyzed physically.

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Acknowledgements

Authors are grateful to the University of Nizwa, Sultanate of Oman, for providing all the necessary facility and encouragements. Authors are highly thankful to the anonymous reviewers for their valuable comment.

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Authors and Affiliations

  1. Department of Mathematical & Physical Sciences, University of Nizwa, Nizwa, Sultanate of Oman

    Smitha Thakadiyil & M. K. Jasim

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  1. Smitha Thakadiyil
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  2. M. K. Jasim
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Correspondence to Smitha Thakadiyil.

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Thakadiyil, S., Jasim, M.K. Invariant Solutions of Einstein’s Field Equations for Conformally Flat Fluid Spheres of Embedding Class One. Int J Theor Phys 52, 3960–3964 (2013). https://doi.org/10.1007/s10773-013-1708-y

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  • DOI: https://doi.org/10.1007/s10773-013-1708-y

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