Anisotropic solutions by gravitational decoupling

2017/08/31 by J Ovalle, J. Ovalle, R Casadio +5 · 314 citations
Physics and Astronomy · #Anisotropy #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Decoupling (probability) #Deformation (meteorology) #Extension (predicate logic) #Gravitation #Gravitational field #Isotropy #Pulsars and Gravitational Waves Research #Schwarzschild radius #gr-qc

paper · pdf · doi:10.1140/epjc/s10052-018-5606-6

published in The European Physical Journal C 78(2) (Springer Science+Business Media) · 20 pages, 4 figures; references and typos corrected; final version to match the EPJC version

openalex created_date 2017/08/08 · openalex publication_date 2018/02/01 · arxiv created 2018/02/09 · arxiv updated 2018/02/13 · openalex updated_date 2026/08/05

Abstract

We investigate the extension of isotropic interior solutions for static self-gravitating systems to include the effects of anisotropic spherically symmetric gravitational sources by means of the gravitational decoupling realised via the minimal geometric deformation approach. In particular, the matching conditions at the surface of the star with the outer Schwarzschild space-time are studied in great detail, and we describe how to generate, from a single physically acceptable isotropic solution, new families of anisotropic solutions whose physical acceptability is also inherited from their isotropic parent.

Citations

• f(R)theories of gravity
• Local anisotropy in self-gravitating systems
• The role of exterior Weyl fluids on compact stellar structures in Randall–Sundrum gravity
• All static spherically symmetric anisotropic solutions of Einstein’s equations
• Searching Exact Solutions for Compact Stars in Braneworld: a conjecture
• Large Mass Hierarchy from a Small Extra Dimension
• Static Solutions of Einstein's Field Equations for Spheres of Fluid
• An Alternative to Compactification
• Reconciling dark energy models withf(R)theories
• Decoupling gravitational sources in general relativity: from perfect to anisotropic fluids

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• A new family of analytical anisotropic solutions by gravitational decoupling
• Class I polytropes for anisotropic matter
• Regular Black Hole Models in the Transition from Baryonic Matter to Quark Matter