Spherically Symmetric Problem of General Relativity for a Fluid Sphere
Spherically Symmetric Problem of General Relativity for a Fluid Sphere作者机构：Institute of Applied Mechanics of Russian Academy of Sciences Moscow Russia
出 版 物：《Journal of Modern Physics》 (现代物理（英文）)
年 卷 期：2024年第15卷第4期
页 面：401-415页
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：General Relativity Spherically Symmetric Problem Fluid Sphere
摘 要：The paper is devoted to a spherically symmetric problem of General Relativity (GR) for a fluid sphere. The problem is solved within the framework of a special geometry of the Riemannian space induced by gravitation. According to this geometry, the four-dimensional Riemannian space is assumed to be Euclidean with respect to the space coordinates and Riemannian with respect to the time coordinate. Such interpretation of the Riemannian space allows us to obtain complete set of GR equations for the external empty space and the internal spaces for incompressible and compressible perfect fluids. The obtained analytical solution for an incompressible fluid is compared with the Schwarzchild solution. For a sphere consisting of compressible fluid or gas, a numerical solution is presented and discussed.
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