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Hypersurface-homogeneous cosmological models with anisotropic dark energy in Saez–Ballester theory of gravitation

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Abstract

The present study deals with hypersurface-homogeneous cosmological models with anisotropic dark energy in Saez–Ballester theory of gravitation. Exact solutions of field equations are obtained by applying a special law of variation of Hubble’s parameter that yields a constant negative value of the deceleration parameter. Three physically viable cosmological models of the Universe are presented for the values of parameter K occurring in the metric of the space–time. The model for K = 0 corresponds to an accelerating Universe with isotropic dark energy. The other two models for K = 1 and −1 represent accelerating Universe with anisotropic dark energy, which isotropize for large time. The physical and geometric behaviours of the models are also discussed.

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Acknowledgement

The authors are extremely grateful to the anonymous reviewer for fruitful suggestions.

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Correspondence to SHRI RAM.

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VERMA, M.K., CHANDEL, S. & RAM, S. Hypersurface-homogeneous cosmological models with anisotropic dark energy in Saez–Ballester theory of gravitation. Pramana - J Phys 88, 8 (2017). https://doi.org/10.1007/s12043-016-1317-4

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  • DOI: https://doi.org/10.1007/s12043-016-1317-4

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