论文标题
幻影广告周围充电颗粒的混乱束缚黑洞
Chaos bound of charged particles around phantom AdS black hole
论文作者
论文摘要
在本文中，我们调查了近水门区域的幻影广告黑洞的混乱，并在距黑洞的一定距离处进行了混乱，而雅各布的决定因素计算了Lyapunov指数。我们发现，在黑洞附近的带电颗粒的角动量会影响平衡轨道的位置以及Lyapunov指数。当电荷足够大并且角矩具有特定值时，界限会在与事件范围的一定距离处违反。同时，我们通过分析$η$的表格和数字来比较差异，其中$η$是表示电磁场的性质的常数。当$η= 1 $时，它对应于reissner-nordstr $ \ ddot {o} $ m-ads黑洞（rn-ads blacks black Hole），它代表phantom Ads Black Hole时$η= -1 $。这样，我们可以得出以下结论。在$η$的不同值下，与$λ^{2}-κ^{2} $相关的曲线的变化趋势可能会有所不同，可以通过确定$λ^{2}-κ^{2} $是否违反约束来判断约束。另外，违反幻影广告中绑定的角矩的相应数值比RN-ADS黑洞的情况小得多。但是，在这些不同的黑洞中，有相同的规则违反了界限。较大的充电绝对值和$λ$更有可能违反界限。
In this paper, we investigated the chaos of the phantom AdS black hole in near-horizon regions and at a certain distance from the black hole, where the Lyapunov exponent was calculated by the Jacobian determinant. We found that the angular momenta of charged particles nearby the black hole affect the position of the equilibrium orbit as well as the Lyapunov exponent. When the charge is large enough and the angular momenta take particular values, the bound is violated at a certain distance from the event horizon. Concurrently, we compared the differences by analyzing tables and figures after taking different values of $η$, where $η$ is a constant indicating the nature of the electromagnetic field. When $η=1$, it corresponds to the Reissner-Nordstr$\ddot{o}$m-AdS black hole (RN-AdS black hole) and it represents the phantom AdS black hole when $η=-1$. In this way, we can draw the following conclusions. Under different values of $η$, the variation trends of curves related to $λ^{2}-κ^{2}$ could be different, where it can be judged whether the constraint is violated by determining if $λ^{2}-κ^{2}$ is greater than zero. In addition, the corresponding numerical values of angular momenta violating the bound in the phantom AdS black hole are much smaller than the case of RN-AdS black hole. But cases in these different black holes have the same rules to violate the bound. The large absolute values of charge and $Λ$ are more likely to violate the bound.
