史瓦西黑洞的外旋量形变：微扰与稳定性
Exotic Spinor Deformation of a Schwarzschild Black Hole: Perturbations and Stability
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中文总结 AI 辅助
本研究探究外旋量拓扑对史瓦西几何费米子模传播的影响，通过引入拓扑梯度实现史瓦西背景的有效几何形变，分析其双折射传播模式、灰体因子与准正则响应，证明背景度规稳定且超伙伴势无等谱性。
中文摘要 AI 辅助
本研究探究外旋量拓扑如何修改史瓦西几何中费米子模的传播。通过将拓扑梯度∂_μφ经标架形变纳入狄拉克算子，我们证明外旋量部分自然诱导出史瓦西背景的有效几何形变。该构造的核心结果是在r_top=1/q处出现拓扑阻抗面，它抑制外旋量模的径向群速度，产生双折射传播模式。利用旋量微扰，我们讨论了灰体因子与准正则响应。准正则谱表明背景度规稳定，且超伙伴势不存在等谱性。
英文摘要
In this work we investigate how exotic spinorial topology modifies the propagation of fermionic modes in the Schwarzschild geometry. By incorporating a topological gradient, $\partial_μφ$, into the Dirac operator through a tetrad deformation, we show that the exotic spinorial sector naturally induces an effective geometric deformation of the Schwarzschild background. The central consequence of this construction is the emergence of a topological impedance surface at $\rtopo=1/q$, which suppresses the radial group velocity of the exotic spinorial modes, yielding a birefringent propagation pattern. Using a spinorial perturbation we discuss the greybody factor and the quasinormal response. The quasinormal spectrum shows the stability of the background metric and the absence of isospectrality for the superpartner potentials.
发表机构
- Faculty of Engineering and Science of Guaratinguetá, UNESP（圣保罗州立大学瓜拉廷格塔工程与科学学院）
- São Paulo State Department of Education (SEDUC-SP)（圣保罗州教育部）
- Engineering School of Lorena - University of Sao Paulo (EEL-USP)（圣保罗大学洛雷达纳工程学院）
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