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Tolman IV solution in the Randall-Sundrum Braneworld

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arxiv 1311.1844 v1 pith:CXAI6LOZ submitted 2013-11-07 gr-qc hep-th

classification gr-qchep-th
keywords solutionbraneworldanalyticeffectsrandall-sundrumstellartolmananalysis
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In the context of the Randall-Sundrum braneworld, the minimal geometric deformation approach (MGD) is used to generate an exact analytic interior solution to four-dimensional effective Einstein's field equations for a spherically symmetric compact distribution. This solution represents the braneworld version of the well known Tolman IV solution in General Relativity. By using this analytic solution, an exhaustive analysis of the braneworld effects on realistic stellar interiors is developed, finding strong evidences in favor of the hypothesis that compactness is reduced due to bulk effects on stellar configurations.

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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. 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.

  2. Hair imprints of the gravitational decoupling and hairy black hole spectroscopy

    gr-qc 2025-06 conditional novelty 5.0 of 10

    The quasinormal mode frequencies of three gravitational-decoupling hairy black holes differ from matched Reissner-Nordström black holes by more than the estimated WKB error for the first metric, giving a theoretical h...

  3. Radial Oscillations of the HESS J1731-347 Compact Object via the Karmarkar Condition in Gravity

    gr-qc 2025-04 conditional novelty 5.0 of 10

    A Karmarkar-based anisotropic stellar model fits HESS J1731-347's mass and radius and predicts radial oscillation frequencies about 20-30% higher than the isotropic Tolman IV model.

  4. Compact stars in a large-tension braneworld: mildly negative Weyl coupling consistent with NICER and gravitational-wave data

    gr-qc 2026-07 conditional novelty 4.0 of 10

    A large-tension braneworld with α_U ≈ −0.15 fits NICER and GW170817 data for SLy, raising M_max to ~2.30 M_⊙ and R_1.4 to ~13.3 km relative to GR.

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