标题： 相对论吸积盘在潮汐撕裂事件中 显示英文标题

标题： Relativistic accretion disc in tidal disruption events

摘要： 我们构建了一个随时间变化的相对论吸积模型，用于潮汐撕裂事件（TDEs），其中粘度为$\alpha-$，压力主要由气体压力主导。 我们还包含了全破坏和部分破坏TDEs的物质回落率$\dot{M}_f$，并假设下落的碎片在时间$t_c$内形成一个种子盘，该盘由于来自下落碎片的质量增加和通过吸积到黑洞的质量损失而演化。 此外，我们推导了盘的高度的显式形式，该形式依赖于盘中的角动量参数。 我们表明，由于质量增加，盘的表面密度在初始时间增加，然后随着质量回落率减少而减少，这导致盘的质量$M_{\rm d}$随时间演化的晚期阶段分别为$M_{\rm d} \propto t^{-1.05}$和$M_{\rm d} \propto t^{-1.38}$，分别对应全破坏和部分破坏TDEs，其中$t$是时间参数。 光度$L$在晚期显示出遵循幂律的上升和下降，分别为完整和部分破坏的潮汐破坏事件给出$L \propto t^{-1.8}$和$L \propto t^{-2.3}$。 我们得到的光度衰减比使用$L \propto \dot{M}_f$推导出的光度更快。 我们还计算了不同光谱波段的光变曲线。 显示英文摘要

摘要： We construct a time-dependent relativistic accretion model for tidal disruption events (TDEs) with an $\alpha-$viscosity and the pressure dominated by gas pressure. We also include the mass fallback rate $\dot{M}_f$ for both full and partial disruption TDEs, and assume that the infalling debris forms a seed disc in time $t_c$, which evolves due to the mass addition from the infalling debris and the mass loss via accretion onto the black hole. Besides, we derive an explicit form for the disc height that depends on the angular momentum parameter in the disc. We show that the surface density of the disc increases at an initial time due to mass addition, and then decreases as the mass fallback rate decreases, which results in a decrease in the disc mass $M_{\rm d}$ with a late-time evolution of $M_{\rm d} \propto t^{-1.05}$ and $M_{\rm d} \propto t^{-1.38}$ for full and partial disruption TDEs respectively, where $t$ is the time parameter. The bolometric luminosity $L$ shows a rise and decline that follows a power-law at late times given by $L \propto t^{-1.8}$ and $L \propto t^{-2.3}$ for full and partial disruption TDEs respectively. Our obtained luminosity declines faster than the luminosity inferred using $L \propto \dot{M}_f$. We also compute the light curves in various spectral bands.