An equivalent system of Einstein Equations

70 & 70 Gravitation Fest

Ospino, J.^1 ; Hernández-Pastora, J.L.^2 ; Núñez, L.A.^3

Departamento de Matemática Aplicada, Instituto Universitario de Física Fundamental y Matemáticas, Universidad de Salamanca, Salamanca, Spain^1

Escuela de Física, Universidad Industrial de Santander, Bucaramanga, Colombia^2

Departamento de Física, Universidad de Los Andes, Mérida, Venezuela^3

关键词: Einstein equations;    Energy density;    Equivalent system;    General Relativity;    Isotropic pressure;    Riemann tensors;    Self-gravitating systems;    Static solutions;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/831/1/012011/pdf
DOI  :  10.1088/1742-6596/831/1/012011

来源: IOP

【 摘 要 】

We provide the full set of equations governing the evolution of self-gravitating systems by using a tetrad formalism in General Relativity and the orthogonal splitting of the Riemann tensor. We apply this formalism to spherical case and found that: the only static solution with homogeneous energy density, under the physical reasonable considerations, is the Schwarzchild solution; the conditions under which a non-dissipative fluid is static and finally that shear-free and isotropic pressure conditions are equivalent, for non-dissipative fluids with homogeneous energy density.