探索具有动态正则化尺度的正则黑洞场方程的构造
Exploring the construction of field equations for regular black holes with dynamical regularization scales
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中文总结 AI 辅助
本文首次探索构造正则化尺度为动态场的正则黑洞场方程，将相关问题简化为求解耦合函数的线性偏微分方程，为正则黑洞核心演化提供有效描述。
中文摘要 AI 辅助
正则黑洞动力学是新兴的研究领域，近期研究探讨了如何通过引入一个充当调节器的新物理尺度，来对爱因斯坦场方程进行变形，以正则化球对称黑洞解。在本探索性论文中，我们首次考虑构造正则化尺度为动态场的场方程问题，这类场方程可提供正则黑洞核心因物质反作用而演化的有效描述，也为构建具有理论和现象学意义的替代动力学解提供了新途径。我们讨论了描述与标量场耦合的球对称引力的一类通用场方程，并研究标量场为常数的分支是否包含除标量场提供的物理尺度外无其他额外物理尺度的静态正则黑洞解。我们表明，该问题可简化为求解标量与度量自由度之间耦合函数的线性偏微分方程。
英文摘要
The study of the dynamics of regular black holes is an emergent area of research. Recent works have discussed how to deform the Einstein field equations to regularize spherically symmetric black hole solutions due to the introduction of a new physics scale acting as regulator. In this exploratory paper, we consider for the first time the problem of constructing field equations in which the regularization scale is a dynamical field. Such field equations may provide an effective description of the evolution of the cores of regular black holes due to the backreaction of matter, and a novel avenue for constructing alternative dynamical solutions of theoretical and phenomenological interest. We discuss a general family of field equations describing spherically symmetric gravity coupled to a scalar field, and study whether the sector with a constant scalar field contains solutions describing static regular black holes with no additional physics scales aside from the ones provided by the scalar field. We show that this question can be reduced to solving a linear partial differential equation for the coupling functions between the scalar and the metric degrees of freedom.
发表机构
- Instituto de Astrofísica de Andalucía (IAA-CSIC)（安达卢西亚天体物理研究所）
- Université Paris-Saclay, CNRS/IN2P3, IJCLab（巴黎萨克雷大学）
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