标题： 双度规MOND中的引力波 显示英文标题

标题： Gravitational waves in bimetric MOND

摘要： 我考虑双度规MOND（BIMOND）的弱场极限（WFL）：即在双闵可夫斯基时空下，小偏离Hmn和H'mn的最低阶情况。 特别是，我研究BIMOND的一个特选子类中的传播解。 WFL分为两个部分，分别对应于Hmn和H'mn的两个线性组合Hmn+和Hmn-。 Hmn+部分等价于广义相对论（GR）的WFL，具有其规范自由度，并且具有相同的真空引力波。 Hmn-部分即使对于最弱的Hmn-也是完全非线性的，并且不继承任何坐标规范自由度。 运动方程在纯引力系统的深MOND极限中是尺度不变的。 在这最后两个方面，BIMOND的WFL与迄今为止研究的其他双度规理论大相径庭。 尽管存在强烈的非线性，任意一对沿相同方向传播的谐波GR波包Hmn和H'mn，都是（真空）BIMOND WFL的解。 显示英文摘要

摘要： I consider the weak field limit (WFL) of bimetric MOND (BIMOND): the lowest order in the small departures Hmn and H'mn from double Minkowski space-time. In particular, I look at propagating solutions, for a favorite subclass of BIMOND. The WFL splits into two sectors for two linear combinations, Hmn+ and Hmn-, of Hmn and H'mn. The Hmn+ sector is equivalent to the WFL of general relativity (GR), with its gauge freedom, and has the same vacuum gravitational waves. The Hmn- sector is fully nonlinear even for the weakest Hmn-, and inherits none of the coordinate gauge freedom. The equations of motion are scale invariant in the deep-MOND limit of purely gravitational systems. In these last two regards, the BIMOND WFL is greatly different from that of other bimetric theories studied to date. Despite the strong nonlinearity, an arbitrary pair of harmonic GR wave packets of Hmn and H'mn moving in the same direction, is a solution of the (vacuum) BIMOND WFL.