发表机构
Mapúa University（马普阿大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究在带电德西特黑洞中，通过四阶导数修正分析了中性标量Christodoulou阈值的移动，发现其方向受宇宙学尺度与准正则谱族竞争影响，且与极值性无普适关联。
AI 中文摘要
我们研究了四维带电德西特黑洞中，一个中性、无质量、最小耦合的旁观者标量场的线性 Christodoulou 正则性判据的领先宇称偶数四阶导数修正。在爱因斯坦-麦克斯韦有效理论中，我们推导了修正后的静态解、冷极值关系、近视界几何、柯西视界表面引力以及中性标量准正则谱。在接近冷极值时，标量方程解析地约化为有限温度的反德西特二维喉问题。我们发现，占主导的非平稳球对称模在一阶上保持其冷极限正则性比率，而更高的角扇区则响应相对喉半径的形变。然而，有限距离的中性标量 Christodoulou 边界发生了移动，因为相关的外部标量谱和不等的视界表面引力进入了正则性比率。在较小和中间的宇宙学尺度上，正的有效系数将 Christodoulou 阈值移向柯西视界和事件视界的更大归一化间距。在冷分支的较大宇宙学尺度部分，相同的系数方向将该阈值移回冷端点附近。这种反转伴随着提供谱隙的准正则族的转变。我们进一步表明，控制固定电荷极值质量参数的系数组合通常不同于控制冷喉和有限距离中性标量边界的系数组合。因此，极值性并不决定中性标量 Christodoulou 阈值修正的普适方向。我们的结果确定了宇宙学尺度和谱族竞争是联系该旁观者扇区中有效引力、黑洞极值性和柯西视界正则性的关键要素。
英文摘要
We study leading parity-even four-derivative corrections to the linear Christodoulou regularity criterion for a neutral, massless, minimally coupled spectator scalar in four-dimensional charged de Sitter black holes. We derive the corrected static solution, cold extremality relation, near-horizon geometry, Cauchy-horizon surface gravity, and neutral scalar quasinormal spectrum within Einstein-Maxwell effective theory. Near cold extremality, the scalar equation reduces analytically to the finite-temperature anti-de Sitter two-dimensional throat problem. We find that the dominant nonstationary spherically symmetric mode retains its cold-limit regularity ratio through first order, while higher angular sectors respond to the deformation of the relative throat radii. The finite-distance neutral-scalar Christodoulou boundary nevertheless shifts because the relevant exterior scalar spectrum and the unequal horizon surface gravities enter the regularity ratio. At smaller and intermediate cosmological scales, positive effective coefficients move the Christodoulou threshold to larger normalized separation of the Cauchy and event horizons. Toward the larger cosmological-scale part of the cold branch, the same coefficient directions move that threshold back toward the cold endpoint. The reversal accompanies a transition in the quasinormal family that supplies the spectral gap. We further show that the coefficient combination governing the fixed-charge extremal mass parameter differs generically from those governing the cold throat and the finite-distance neutral-scalar boundary. Extremality therefore does not determine a universal direction for the neutral-scalar Christodoulou-threshold correction. Our results identify cosmological scale and spectral-family competition as essential elements in relating effective gravity, black-hole extremality, and Cauchy-horizon regularity in this spectator sector.
Comments29 pages, 2 figures. Under consideration in Chin. Phys. C
