In this work we investigate the extra packing of mass within the framework of gravitational decoupling by means of Minimal Geometric Deformation approach. It is shown that, after a suitable set of the free parameters involved, the like-Tolman IV solution extended by Minimal Geometric Deformation not only acquire extra packing of mass but it corresponds to a stable configuration according to the adiabatic index criteria. Additionally, it is shown that the extra packing condition induce a lower bound on the compactness parameter of the seed isotropic solution and a stringent restriction on the decoupling parameter.

中文翻译：

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MGD引起的各向异性内部质量的额外堆积

在这项工作中，我们通过最小几何变形方法研究了重力解耦框架内质量的额外堆积。结果表明，在涉及一组合适的自由参数之后，通过最小几何变形扩展的like-Tolman IV解决方案不仅获得了额外的质量堆积，而且根据绝热指数标准，它对应于稳定的构型。另外，表明额外的填充条件引起种子各向同性溶液的密实度参数的下界和对解耦参数的严格限制。