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Anisotropic Tolman VII solution by gravitational decoupling

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arxiv 1906.08368 v1 pith:43MNKKPT submitted 2019-06-19 gr-qc

Sudipta Hensh , Zdeněk Stuchlík This is my paper · ORCID
classification gr-qc
keywords solutiontolmananisotropicanisotropydecouplingdensitygravitationalacceptable
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Using the gravitational decoupling by the minimal geometric deformation approach, we build an anisotropic version of the well-known Tolman VII solution, determining an exact and physically acceptable interior two-fluid solution that can represent behavior of compact objects. Comparison of the effective density and density of the perfect fluid is demonstrated explicitly. We show that the radial and tangential pressure are different in magnitude giving thus the anisotropy of the modified Tolman VII solution. The dependence of the anisotropy on the coupling constant is also shown.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Coherent quantum hairy black holes from gravitational decoupling: regularity, geodesics, and scalar ringdown

    hep-th 2026-02 conditional novelty 6.0 of 10

    Gaussian-smearing the gravitational-decoupling hairy black hole produces a regular core and modified photon rings, lensing, and a claimed but absent ringdown spectrum.

  2. Isotropization and change of complexity by gravitational decoupling

    gr-qc 2019-09 conditional novelty 6.0 of 10

    A gravitational decoupling technique that continuously isotropizes anisotropic stellar solutions and generates new solutions with controlled complexity factor, demonstrated on two exact examples.

  3. Minimal Geometric Deformation in a Reissner-Nordstr\"om background

    gr-qc 2019-09 conditional novelty 4.0 of 10

    New exact Reissner-Nordström black hole solutions are built via minimal geometric deformation with a linear equation of state in the added source.

  4. Anisotropic neutron stars by gravitational decoupling

    gr-qc 2019-08 conditional novelty 3.0 of 10

    Starting from a known perfect-fluid neutron star model, the paper constructs anisotropic versions via minimal geometric deformation and finds that the least compact models (SAX J1808.4-3658 and Her X-1) are the most stable.

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