arXiv 2601.094822026-01-14gr-qc

潮汐动力学与带电Kalb-Ramond黑洞在非线性电动力学中的恒星破坏

Tidal dynamics and stellar disruption in charged Kalb-Ramond black holes in nonlinear electrodynamics

Faculdade de Física, Universidade Federal do Pará（帕拉联邦大学物理学院）；Programa de Pós-Graduação em Física, Universidade Federal do Sul e Sudeste do Pará（南东南帕拉联邦大学物理研究生项目）

Ednaldo L. B. Junior, Herlan N. Lemos, Marcos V. de S. Silva

备注：: 14 pages, 7 figures

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AI总结：

研究带电Kalb-Ramond黑洞在非线性电动力学中的潮汐动力学与恒星破坏机制，揭示参数对潮汐行为和破坏半径的影响。

摘要：

我们研究了Kalb-Ramond-ModMax解描述的黑洞时空中的潮汐力、测地偏差和潮汐破坏。其中电磁非线性性由参数γ控制，洛伦兹对称性破坏由参数l控制。在规范扇区（α=1）中，径向潮汐力表现出在视界r_-和r_+之间符号反转的转变，标志着类似于带电黑洞的径向压缩内部区域；参数l控制该转变的强度和位置，而γ调节非线性电磁贡献。角向潮汐力主要为压缩性，l塑造有效几何，γ起阻尼因子作用。在虚影扇区（α=-1）中，潮汐力和测地偏差发散，指示潮汐不稳定性，l和γ仅影响响应的大小。我们进一步显示，l改变了视界半径r_+与潮汐破坏半径r_Roche之间的关系，从而修改了由r_Roche=r_+定义的临界（Hills）质量。中子星的潮汐破坏发生在超大质量黑洞内部，而太阳质量的恒星则在视界外被破坏，γ仅在超大质量黑洞（质量约为10^8M_⊙）中起作用。我们的结果表明，对于超大质量黑洞，Kalb-Ramond-ModMax效应被显著抑制，但对于中间质量系统和可观察到的潮汐破坏事件可能相关，提供了间接探测洛伦兹破坏和非线性电动力学在强场区域的方法。

英文摘要：

We investigate tidal forces, geodesic deviation, and tidal disruption in the black hole spacetime described by the Kalb-Ramond-ModMax solution, where electromagnetic nonlinearity is governed by the parameter $γ$ and Lorentz symmetry violation by the parameter $l$. In the canonical sector ($α=1$), the radial tidal force exhibits a transition marked by a sign inversion between the horizons $r_{-}$ and $r_+$, signaling internal regimes of radial compression analogous to those of charged black holes; the parameter $l$ controls the strength and location of this transition, while $γ$ regulates the nonlinear electromagnetic contribution. The angular tidal force is predominantly compressive, $l$ shaping the effective geometry, and $γ$ acting as a damping factor. In the phantom sector ($α=-1$), tidal forces and geodesic deviation diverge, indicating a tidal instability, with $l$ and $γ$ affecting only the magnitude of the response. We further show that $l$ shifts the relation between the horizon radius $r_+$ and the tidal disruption radius $r_{\rm Roche}$, thereby modifying the critical (Hills) mass defined by $r_{\rm Roche}=r_+$. Tidal disruption of neutron stars occurs inside the horizon for supermassive black holes, whereas Sun-like stars are disrupted outside the horizon, with $γ$ becoming relevant only for ultramassive black holes with masses $\sim 10^{8}M_{\odot}$. Our results demonstrate that Kalb-Ramon-ModMax effects are largely suppressed for supermassive black holes, but may be relevant for intermediate-mass systems and observable tidal disruption events, offering an indirect probe of Lorentz violation and nonlinear electrodynamics in the strong-field regime.

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