近日,俄罗斯杜布纳联合原子核研究所的D. V. Fursaev及其研究团队取得一项新进展。经过不懈努力,他们揭示了引力冲击波对经典场的扰动。相关研究成果已于2024年11月6日在国际知名学术期刊《高能物理杂志》上发表。
该研究团队采用自由标量场作为模型,开发了一种通用方法,用于在线性近似下描述此类几何结构上的经典场论。冲击波引起的扰动存在于波前上方,并且是特征柯西问题的解,该问题在波前上的初始数据由入射场的超平移确定。
研究人员特别关注了由平面前沿引力冲击波产生的点源场的扰动。这里存在三种效应:非定常扰动转化为出射辐射、引力波撞击源时出现的球面标量冲击波,以及伴随初始引力波的平面标量冲击波。这一分析适用于一般类别的引力冲击波,包括由零粒子和零膜产生的几何结构。
据悉,引力冲击波是一种几何现象,其中横向曲率的分量在波前(即零超曲面)上表现出突变行为。
附:英文原文
Title: Perturbations of classical fields by gravitational shockwaves
Author: Fursaev, D. V., Davydov, E. A., Pirozhenko, I. G., Tainov, V. A.
Issue&Volume: 2024-11-06
Abstract: Gravitational shockwaves are geometries where components of the transverse curvature have abrupt behaviour across null hypersurfaces, which are fronts of the waves. We develop a general approach to describe classical field theories on such geometries in a linearized approximation, by using free scalar fields as a model. Perturbations caused by shockwaves exist above the wave front and are solutions to a characteristic Cauchy problem with initial data on the wave front determined by a supertranslation of ingoing fields. A special attention is paid to perturbations of fields of point-like sources generated by plane-fronted gravitational shockwaves. One has three effects: conversion of non-stationary perturbations into an outgoing radiation, a spherical scalar shockwave which appears when the gravitational wave hits the source, and a plane scalar shockwave accompanying the initial gravitational wave. Our analysis is applicable to gravitational shockwaves of a general class including geometries sourced by null particles and null branes.
DOI: 10.1007/JHEP11(2024)039
Source: https://link.springer.com/article/10.1007/JHEP11(2024)039