Static perfect fluid balls with given equation of state and cosmological constant
Static perfect fluid balls with given equation of state and cosmological constant
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具有给定状态方程和宇宙常数的静态完美流体球
DOI：
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发表时间：
2004
期刊：
影响因子：
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通讯作者：
C. Boehmer
中科院分区：
文献类型：
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作者：
C. Boehmer
分析了具有宇宙常数的爱因斯坦场方程的静态和球对称理想流体解。在证明了中心正则解的存在唯一性后，讨论了该解的推广。然后证明了在给定状态方程和宇宙常数的条件下，以4 π rho_B为界的整体解的存在性，其中rho_B为理想流体球的边界密度（由状态方程给出）.
Static and spherically symmetric perfect fluid solutions of Einstein's field equations with cosmological constant are analysed. After showing existence and uniqueness of a regular solution at the centre the extension of this solution is discussed. Then the existence of global solutions with given equation of state and cosmological constant bounded by 4 pi rho_b, where rho_b is the boundary density (given by the equation of state) of the perfect fluid ball, is proved.