Compact stars made of fermionic dark matter
Compact stars made of fermionic dark matter
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DOI：
10.1103/physrevd.74.063003
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发表时间：
2006-05
影响因子：
5
通讯作者：
Gaurav Narain;J. Schaffner-Bielich;I. Mishustin
中科院分区：
文献类型：
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作者：
Gaurav Narain;J. Schaffner-Bielich;I. Mishustin
通过求解广义相对论的结构方程，即Tolman-Oppenheimer-Volkoff方程，研究了由任意质量和相互作用强度的费米子组成的致密恒星。推导了自由费米气体和相互作用费米气体的标度解，并用数值计算进行了验证。我们证明了由自由费米子组成的致密恒星存在一个与费米子质量无关的唯一的质量-半径关系。对于足够强的相互作用，致密恒星的最大稳定质量及其半径由相互作用参数控制，它们都随相互作用强度线性增加。由强相互作用费米子组成的致密星的质量-半径关系表明，对于较大范围的致密星质量，半径保持近似不变。
Compact stars consisting of fermions with arbitrary masses and interaction strengths are studied by solving the structure equation of general relativity, the Tolman-Oppenheimer-Volkoff equations. Scaling solutions are derived for a free and an interacting Fermi gas and tested by numerical calculations. We demonstrate that there is a unique mass-radius relation for compact stars made of free fermions which is independent of the fermion mass. For sufficiently strong interactions, the maximum stable mass of compact stars and its radius are controlled by the parameter of the interaction, both increasing linearly with the interaction strength. The mass-radius relation for compact stars made of strongly interacting fermions shows that the radius remains approximately constant for a wide range of compact star masses.