T对偶启发的极端黑洞的Schwinger稳定性
Schwinger stability of T-duality-inspired extremal black holes
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中文总结 AI 辅助
研究T对偶启发的带电正则黑洞的极端分支，发现其近端点Schwinger不稳定性阈值发散，而ABG解中有限，表明该发散并非正则性的一般后果。
中文摘要 AI 辅助
我们研究了在零点长度T对偶方案下的带电正则黑洞几何中，与Schwinger粒子产生相关的近视界带电标量不稳定性。利用相同的有效几何和正则化规范势，我们构造了极端分支、其${\rm AdS}_2 \times S^2$近视界喉管，以及一般形状因子的带电标量不稳定性阈值。对于显式T对偶形状因子，极端分支终止于$r_\mathrm{ext} = \sqrt2 \\, l_0$，此处极端电荷和近视界电场消失，而${\rm AdS}_2$半径保持有限，为$\sqrt3 \\, l_0$。在该端点，精确的近视界不稳定性参数为负。在半经典区域，相应的荷质比阈值随着接近端点而发散。因此，对于每个具有有限$q/m$的固定质量粒子，极端分支上足够接近端点的部分没有局域带电标量不稳定性。作为比较，Ayón-Beato-García (ABG)爱因斯坦非线性电动力学解具有非零的极端近视界电场。对于额外的最小耦合带电标量探针，相应的局域Schwinger阈值保持有限。因此，在T对偶分支中发现的发散近端点Schwinger势垒并不是正则性的一般后果。
英文摘要
We study the near-horizon charged-scalar instability associated with Schwinger pair production in the charged regular black hole geometry of the zero-point-length T-duality prescription. Using the same effective geometry and regularized gauge potential, we construct the extremal branch, its ${\rm AdS}_2 \times S^2$ near-horizon throat, and the charged-scalar instability threshold for a general form factor. For the explicit T-duality form factor the extremal branch terminates at $r_\mathrm{ext} = \sqrt2 \, l_0$, where the extremal charge and the near-horizon electric field vanish while the ${\rm AdS}_2$ radius remains finite at $\sqrt3 \, l_0$. At this endpoint the exact near-horizon instability parameter is negative. In the semiclassical regime the corresponding charge-to-mass threshold diverges as the endpoint is approached. Thus, for each fixed massive species with finite $q/m$, a sufficiently near-endpoint portion of the extremal branch is free of the local charged-scalar instability. For comparison, the Ayón-Beato-García (ABG) Einstein-nonlinear-electrodynamics solution has a nonvanishing extremal near-horizon electric field. For an additional minimally coupled charged-scalar probe, the corresponding local Schwinger threshold remains finite. Thus the divergent near-endpoint Schwinger barrier found in the T-duality branch is not a generic consequence of regularity.
发表机构
- National Central University（中央大学）
- State University of Tetovo（泰托沃国立大学）
- California State University, Fresno（加州州立大学弗雷斯诺分校）
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