arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0901.0003hep-thgr-qc
收藏

不同维中的GL(n,R)虫洞和波

GL(n,R) Wormholes and Waves in Diverse Dimensions

Zhao-Long Wang, Jianwei Mei, H. Lu

摘要:

我们构造了(D+n)维中最一般的Ricci平坦度量,它保持R^{1,n-1} \times SO(D)等距.运动方程由GL(n,\R)/SO(1,n-1)标量陪集与D维引力耦合的系统控制。其中的解决方案,我们发现了一个大类的光滑洛伦兹虫洞连接两个渐近平坦的时空。此外,我们还得到了新的D \ge 4维真空速子波解,它符合pp波的一般定义,即存在一个协变常数零矢量。快子波的动量大于它们的ADM质量。快子波的世界体积是R^{1,2},而不是通常真空pp波的R^{1,1}。我们表明,快子波的解决方案不承认Killing旋量,除了在D=4,在这种情况下,它保留了一半的超对称性。我们还得到了一般的p-膜虫洞和快子波解,其中时空的R^{1,n-1}部分位于p-膜的世界体积中。这些例子包括M-膜和D3-膜。此外,我们还得到了D \ge 4维中的AdS快子波.

英文摘要:

We construct the most general Ricci-flat metrics in (D+n) dimensions that preserve the R^{1,n-1}\times SO(D) isometry. The equations of motion are governed by the system of a GL(n,\R)/SO(1,n-1) scalar coset coupled to D-dimensional gravity. Among the solutions, we find a large class of smooth Lorentzian wormholes that connect two asymptotic flat spacetimes. In addition, we obtain new vacuum tachyonic wave solutions in D\ge 4 dimensions, which fit the general definition of pp-waves in that there exists a covariantly constant null vector. The momenta of the tachyon waves are larger than their ADM masses. The world-volume of the tachyon wave is R^{1,2}, instead of R^{1,1} for the usual vacuum pp-wave. We show that the tachyon wave solutions admit no Killing spinors, except in D=4, in which case it preserves half of the supersymmetry. We also obtain a general class of p-brane wormhole and tachyon wave solutions where the R^{1,n-1} part of the spacetime lies in the the world-volume of the p-branes. These include examples of M-branes and D3-brane. Furthermore, we obtain AdS tachyon waves in D\ge 4 dimensions.

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。

↑