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A new family of analytical anisotropic solutions by gravitational decoupling

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Abstract.

This work is focused on the study of analytic anisotropic solutions to Einstein’s field equations, describing spherically symmetric and static configurations by way of the gravitational decoupling through the method of minimal geometric deformation (MGD). For this we apply MGD to Heintzmann’s solution obtaining two new analytic and well behaved anisotropic solutions, in which all their parameters such as the effective density, the effective radial and tangential pressure, as well as radial and tangential sound speed, fulfill each of the requirements for the physical acceptability available in the literature.

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Authors and Affiliations

  1. Departamento de Física, Facultad de ciencias básicas, Universidad de Antofagasta, Casilla 170, Antofagasta, Chile

    Milko Estrada & Francisco Tello-Ortiz

  2. Instituto de Matemática, Física y Estadística, Universidad de las Américas, Manuel Montt 948, Santiago, Chile

    Milko Estrada

  3. Universidad Tecnológica de Chile, INACAP, Santiago, Chile

    Milko Estrada

Authors
  1. Milko Estrada
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  2. Francisco Tello-Ortiz
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Correspondence to Francisco Tello-Ortiz.

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Estrada, M., Tello-Ortiz, F. A new family of analytical anisotropic solutions by gravitational decoupling. Eur. Phys. J. Plus 133, 453 (2018). https://doi.org/10.1140/epjp/i2018-12249-9

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  • DOI: https://doi.org/10.1140/epjp/i2018-12249-9

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