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Accelerated universe with a traversable wormhole from Visser's massive gravity

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Abstract

In this letter, the Friedmann–Robertson–Walker model with a traversable wormhole is considered from the view point of Visser’s massive gravity theory. If the matter in the universe is assumed to be divided into two parts, the cosmic part, which depends on time only, and the wormhole part which depends on space only, a late-time acceleratedly expanding universe with a traversable wormhole and dominated by phantom energy is obtained.

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Notes

  1. We believe that in this letter, the entire derivation of the field equations need to be included; we refer readers may refer to Refs. [14,31,32] for the complete study.

  2. In a cosmological model, with a traversable wormhole [31], we need to take into account three main quantities: the total density \(\rho (r,t)\), the pressure \(P(r,t)\) is the pressure in the orthonormal frame, and the total surface tension \(Q(r,t)\). Because we are dealing with the isotropic case, one has \(P(r,t) = - Q(r,t)\), and all the previous physical quantities obey equations similar to Eq. (6).

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Acknowledgements

The author would like to thank the anonymous referee for his useful comments and valuable suggestions.

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  1. Mathematics and Physics Divisions, Athens Institute for Education and Research, 8 Valaoritou Street, Kolonaki, 10671, Athens, Greece

    Rami Ahmad El-Nabulsi

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El-Nabulsi, R.A. Accelerated universe with a traversable wormhole from Visser's massive gravity. J. Korean Phys. Soc. 78, 1–5 (2021). https://doi.org/10.1007/s40042-020-00011-z

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