2018/03/31 by Milko Estrada, Francisco Tello-Ortiz, Francisco Tello‐Ortiz
Engineering · Mathematics · Physics and Astronomy · #Anisotropy #Applied mathematics #Classical mechanics #Cosmology and Gravitation Theories #Decoupling (probability) #Einstein #Engineering #Field equation #Fluid Dynamics and Turbulent Flows #Gravitation #Gravitational field #Mathematical analysis #Mathematics #Optics #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #Theoretical physics #Work (physics) #gr-qc
paper · pdf · doi:10.1140/epjp/i2018-12249-9
published as Eur.Phys.J.Plus 133 (2018) no.11, 453
arxiv created 2018/08/27 · openalex publication_date 2018/11/01 · arxiv updated 2019/03/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
This work is focused in 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.