The First Robust Evidence Showing a Dark Matter Density Spike Around the Supermassive Black Hole in OJ 287

Man Ho Chan, Chak Man Lee
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Abstract

Black hole dynamics suggests that dark matter would redistribute near a supermassive black hole (SMBH) to form a density spike. However, no direct evidence of a dark matter density spike around an SMBH has been identified. In this Letter, we present the first robust evidence showing a dark matter density spike around an SMBH. We revisit the data of the well-known SMBH binary OJ 287 and show that the inclusion of the dynamical friction due to a dark matter density spike around the SMBH can satisfactorily account for the observed orbital decay rate. The derived spike index γ sp = 2.351 − 0.045 + 0.032 gives an excellent agreement with the value γ sp = 2.333 predicted by the benchmark model assuming an adiabatically growing SMBH. This provides a strong verification of the canonical theory suggested two decades ago modeling the gravitational interaction between collisionless dark matter and SMBHs.
显示 OJ 287 超大质量黑洞周围暗物质密度骤增的首个可靠证据
黑洞动力学表明,暗物质会在超大质量黑洞(SMBH)附近重新分布,形成密度峰。然而,目前还没有发现 SMBH 周围出现暗物质密度峰的直接证据。在这封信中,我们首次提出了SMBH周围存在暗物质密度峰的有力证据。我们重新研究了著名的SMBH双星OJ 287的数据,结果表明,将SMBH周围暗物质密度峰值引起的动力学摩擦包含在内,可以令人满意地解释观测到的轨道衰减率。得出的尖峰指数γ sp = 2.351 - 0.045 + 0.032与假设SMBH绝热增长的基准模型预测值γ sp = 2.333非常吻合。这有力地验证了二十年前提出的模拟无碰撞暗物质与 SMBH 之间引力相互作用的经典理论。
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