伽马射线暴空间分布的非均匀性
Non-homogeneities in the spatial distribution of gamma-ray bursts
摘要：
为了揭示长（T_90 > 2 μ s）伽马射线暴空间分布中可能存在的非均匀性，我们研究了其中201个已知红移z的伽玛射线暴。对于度量距离r（z）的不同函数形式，我们使用对象之间的间隔的分布函数f（l）。渐近地，对于小的l，该函数的行为类似于对于分形维数为D的分形集的f（l）~l^{D-1}。研究表明，对于所有考虑的r（z）形式，伽马射线暴源的空间分布均表现出D=2.2-2.5的分形迹象。已经发现了几组空间上相互隔离的伽马射线暴源，其中一个源的赤道坐标α从23 h 56 m延伸到0 h 49 m，δ从+19 o延伸到+23 o，其红移在0.81到0.94之间。
英文摘要：
In order to reveal possible non-homogeneities in the spatial distribution of long (T_90 > 2^s) gamma-ray bursts we have examined 201 of them with known redshifts z. For different functional forms of metric distance r(z)we use the distribution function f(l)of separations between objects. Asymptotically, for small l this function behaves like f(l)~l^{D-1} for fractal sets whose fractal dimension is D. It is revealed that for all of the considered forms of r(z) the spatial distribution of gamma-ray burst sources shows signs of fractality with D=2.2-2.5. A few spatially isolated groups of gamma-ray burst sources have been found, one of which has equatorial coordinates alpha extending from 23^h 56^m to 0^h 49^m and delta from +19^o to +23^o its redshifts being within the range of 0.81 to 0.94.
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