发表机构
Tufts University; New College of Florida（塔夫茨大学; 佛罗里达新学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究史瓦西背景下受洛伦兹破缺四次势约束的矢量场，推导其微扰解，确定参数边界与临界情况，给出多极微扰渐近表达式。
AI 中文摘要
本文研究固定史瓦西背景下受洛伦兹破缺四次势约束的矢量场行为，分析该场的平衡构型及其线性微扰。研究表明，平衡解与球对称微扰由某二次函数支配，其性质决定了它们的定性行为。通过要求背景场为实数且有限，推导了允许参数的边界，并确定了单极微扰增强的临界情况，还进一步推导了事件视界附近与空间无穷远处多极微扰的渐近表达式。
英文摘要
In this paper, we investigate the behavior of a vector field subject to a Lorentz-violating quartic potential on a fixed Schwarzschild background. We analyze the equilibrium configuration of the field and its linear perturbations. We show that the equilibrium solution and spherically symmetric perturbations are governed by a quadratic function whose properties determine their qualitative behavior. By requiring the background field to be real and finite, we derive bounds on the allowed parameters and identify critical cases in which the monopole perturbations become enhanced. We further derive asymptotic expressions for multipole perturbations near the event horizon and at spatial infinity.
Comments16 pages, 6 figures; fixed punctuation errors in equations
