arXivDaily arXiv每日学术速递 周一至周五更新
北美退伍军人节(Veterans Day),12 日无更新
arXiv 0904.0668hep-th
收藏

新质量引力作用下的弯曲AdS波

Bending AdS Waves with New Massive Gravity

Eloy Ayón-Beato, Gaston Giribet, Mokhtar Hassaïne

摘要:

本文研究了Bergshoeff、Hohm和Townsend最近提出的三维大质量引力新理论中的AdS波。这种类型的一般配置导出,并表现出不同的分支,具有不同的渐近行为。特别地,对于特殊的微调$m^2=\pm1/(2l^2)$,对数衰减的解决方案出现,而在范围$m^2>-1/(2l^2)$,薛定谔等距群的时空被接纳为解决方案。渐近AdS $_3$的解决方案,无论是布朗Henneaux和弱边界条件,也确定。表征AdS波轮廓的度规函数表现为时空上的大质量激发,其有效质量由$m_{eff}^2=m^2-1/(2l^2)$给出。对于临界值$m^2=-1/(2l^2)$,有效质量的值精确地饱和波传播所在的AdS $_3$空间的Breitenlohner-Freedman界。还讨论了与拓扑大质量引力的AdS波解的类比。此外,我们还考虑了大质量形变与爱因斯坦引力的耦合,并找到了完整理论的精确位形,详尽地讨论了所有不同的分支。引入陈-西蒙斯引力项的效果之一是打破了纯新大质量引力的一般模式的有效质量的简并性,由于宇称破坏而产生精细结构。另一个影响是,精确对数样本的动物园变得相当大。

英文摘要:

We study AdS-waves in the three-dimensional new theory of massive gravity recently proposed by Bergshoeff, Hohm, and Townsend. The general configuration of this type is derived and shown to exhibit different branches, with different asymptotic behaviors. In particular, for the special fine tuning $m^2=\pm1/(2l^2)$, solutions with logarithmic fall-off arise, while in the range $m^2>-1/(2l^2)$, spacetimes with Schrodinger isometry group are admitted as solutions. Solutions that are asymptotically AdS$_3$, both for Brown-Henneaux and for the weakened boundary conditions, are also identified. The metric function that characterizes the profile of the AdS-wave behaves as a massive excitation on the spacetime, with an effective mass given by $m_{eff}^2=m^2-1/(2l^2)$. For the critical value $m^2=-1/(2l^2)$, the value of the effective mass precisely saturates the Breitenlohner-Freedman bound for the AdS$_3$ space where the wave is propagating on. The analogies with the AdS-wave solutions of topologically massive gravity are also discussed. Besides, we consider the coupling of both massive deformations to Einstein gravity and find the exact configurations for the complete theory, discussing all the different branches exhaustively. One of the effects of introducing the Chern-Simons gravitational term is that of breaking the degeneracy in the effective mass of the generic modes of pure New Massive Gravity, producing a fine structure due to parity violation. Another effect is that the zoo of exact logarithmic specimens becomes considerably enlarged.

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。

↑