极大似然拟合封闭有限质量的核心晕
Maximum likelihood fits to a cored halo enclosing finite mass
摘要：
由Robertson-Walker导出的Ricci张量和平坦空间度规形成的混合Ricci标量$R_{μν}η^{μν}$在渐近约束下成为一个暗的伪等温密度。虽然这一限制是否能扩展到更一般的场景还不清楚，但它是独立于模型的，并暗示了一个激进的前提：所有的银河系暗物质晕都来源于许多不同的罗伯逊-沃克时空。我们探讨这个前提，并提出了一个核心的星系晕，它包围在所有空间的有限质量。我们计算适合的参数发表的银河系矮球状星系的数据，并找到与预测的倒数平方尺度关系的一致性。球对称性允许将每个单独的晕视为在修正的引力作用下相互作用的点粒子。这种力在大分离时是牛顿力，具有主导偶极校正，并且在小分离时自然软化为零。作为冷暗物质，这种晕的集合体为大尺度$N$天体模拟和小尺度天体物理数据之间的紧张关系提供了一个可能的解决方案。
英文摘要：
The hybrid Ricci scalar $R_{μν}η^{μν}$ formed from a Robertson-Walker derived Ricci tensor and a distinct flat space metric becomes a dark, pseudo-isothermal density under asymptotic constraint. While extension of this constraint to more general scenarios is unclear, it is model independent and suggestive of a radical premise: all galactic dark matter halos are sourced by very many distinct Robertson-Walker spacetimes. We explore this premise and present a cored galactic halo, which encloses finite mass over all space. We compute fit parameters to published data on the Milky Way dwarf spheroidal galaxies, and find consistency with a predicted reciprocal square scaling relation. Spherical symmetry permits treatment of each individual halo as a point particle interacting under a modified gravitational force. This force is Newtonian at large separation with a leading dipole correction, and naturally softens to zero at small separation. Taken as cold dark matter, ensembles of such halos present a possible resolution to tension between large-scale $N$-body simulations and small-scale astrophysical data.
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