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Embedding class one solutions of anisotropic fluid spheres in modified $$f({\mathcal {G}})$$ gravity

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The main purpose of current analysis is to study three different compact spheres LMC X-4, Cen X-3, and EXO 1785-248 in modified $$f({\mathcal {G}})$$ gravity. In this context, the well-known… Click to show full abstract

The main purpose of current analysis is to study three different compact spheres LMC X-4, Cen X-3, and EXO 1785-248 in modified $$f({\mathcal {G}})$$ gravity. In this context, the well-known Karmarkar condition is used to choose the suitable metric coefficients. The Schwarzschild interior solution is used to determine the matching conditions, and all the unknown coefficients in metric potentials are calculated through matching conditions for different values of the model parameter K. The necessary properties of stellar objects are discussed in this study, and a detailed graphical analysis is provided to check the physical viability. The validity of obtained anisotropic solutions confirms that the results are physically well fitted with observed data and free from any singularity.

Keywords: mathcal gravity; modified mathcal; one solutions; class one; embedding class

Journal Title: European Physical Journal Plus
Year Published: 2021

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