Models of spherical shells as sources of Majumdar–Papapetrou type spacetimes

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• 作者：Gonzalo García-Reyes
• 关键词：General relativity ; Conformastatic spacetimes ; Spherical symmetry ; Disk–haloes
• 刊名：General Relativity and Gravitation
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：49
• 期：3
• 全文大小：
• 刊物类别：Physics and Astronomy
• 刊物主题：Theoretical, Mathematical and Computational Physics; Classical and Quantum Gravitation, Relativity Theory; Differential Geometry; Astronomy, Astrophysics and Cosmology; Quantum Physics;
• 出版者：Springer US
• ISSN：1572-9532
• 卷排序：49

文摘

By starting with a seed Newtonian potential–density pair we construct relativistic thick spherical shell models for a Majumdar–Papapetrou type conformastatic spacetime. As a simple example, we considerer a family of Plummer–Hernquist type relativistic spherical shells. As a second application, these structures are then used to model a system composite by a dust disk and a halo of matter. We study the equatorial circular motion of test particles around such configurations. Also the stability of the orbits is analyzed for radial perturbation using an extension of the Rayleigh criterion. The models considered satisfying all the energy conditions.