2000/12/05 by Héctor Hernández, H. Hernández, Luis A. Núñez +3
Mathematics · Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #General Relativity and Quantum Cosmology (gr-qc) #High-Energy Particle Collisions Research #gr-qc
paper · pdf · doi:10.48550/arxiv.gr-qc/0012019
Ninth Marcel Grossmann Meeting Proceedings
arxiv created 2000/12/05 · openalex publication_date 2000/12/05 · openalex created_date 2016/06/24 · arxiv updated 2016/08/15 · openalex updated_date 2026/07/28
We present a general method to obtain static anisotropic spherically symmetric solutions, satisfying a nonlocal equation of state, from known density profiles. This equation of state describes, at a given point, the components of the corresponding energy-momentum tensor not only as a function at that point, but as a functional throughout the enclosed configuration. In order to establish the physical aceptability of the proposed static family of solutions satisfying nonlocal equation of state,we study the consequences imposed by the junction and energy conditions for anisotropic fluids in bounded matter distribution. It is shown that a general relativistic spherically symmetric bounded distributions of matter, at least for certain regions, could satisfy a nonlocal equation of state.