三维AdS宇宙中弦上的点粒子
Point particles on the string in a three-dimensional AdS universe
AI总结：
本研究在三维AdS时空背景下探究点粒子与弦的相互作用，定义静态时空中的可加局域质量并应用于相关系统，还通过切割粘合方法构建了弦上双粒子振荡的非静态系统。
摘要：
BTZ时空是早已为人熟知的、具有1个类时维度和2个类空维度的爱因斯坦方程的局部AdS解。其静态变体被解释为一种黑洞，其质量与角坐标的周期相关。该解可通过参数延拓得到一种无视界、但中心存在锥形亏损的解，这类解被解释为包含大质量粒子的时空。已有研究表明，该粒子可与一条穿过时空延伸至无穷远的宇宙弦处于静态平衡。在本工作中，我们探究点粒子与弦的相互作用，例如由有限长度弦连接的两个粒子构成的束缚系统。我们在静态时空中定义了可加的局域质量，并将其应用于粒子与弦的情形。最后，我们利用切割粘合方法，构建了两个粒子在弦上振荡的系统，这超出了静态系统的研究范畴。
英文摘要：
BTZ spacetime is a long-known locally AdS solution to the Einstein equations in 1 timelike and 2 spacelike dimensions. Its static variant is interpreted as a black hole whose mass is related to the period of the angular coordinate. This solution can be parametrically continued into one without horizons but with a conical deficit in the center. Such a solution is interpreted as a spacetime with a massive particle. It has been shown that this particle can be in static equilibrium with a cosmic string passing through the spacetime to infinity. In this work, we explore the interaction of point particles with strings, such as a bound system of two particles connected by a string of finite length. We identify additive local mass in the static spacetimes and apply it to the case of particles and strings. Finally, using the cut and glue method, we construct the system of two particles oscillating on the string, which goes out of the scope of static systems.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
