$d$ -维中的Buchdahl型不等式
Buchdahl type inequalities in $d$-dimensions
摘要：
考虑了$d\geq4$维Einstein方程的球对称各向异性静态紧致解.不同的物质模型进行检查，并在这些不同的模型中的引力质量的半径的比率上界。在非零电荷和正宇宙学常数的存在下，也推广了边界。这些界限然后被用来找到在物体表面的引力红移的最大值。
英文摘要：
Spherically symmetric anisotropic static compact solutions to the Einstein equations in dimension $d\geq4$ are considered. Various matter models are examined and upper bounds on the ratio of the gravitational mass to the radius in these different models are obtained. Bounds are also generalised in the presence of a non-zero charge and a positive cosmological constant. These bounds are then used to find the maximum of the gravitational redshift at the surface of the object.
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