J an 2 00 9 1 Repulsons in the Myers-Perry Family
J an 2 00 9 1 Repulsons in the Myers-Perry Family
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Jan 2 00 9 1 Myers-Perry 家族中的排斥子
DOI：
10.1103/physrevd.68.024024
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发表时间：
2002
影响因子：
5
通讯作者：
Hideo
中科院分区：
文献类型：
--
作者：
Gary;Hideo
本文证明了具有负质量的曲率正则渐近平坦孤子包含在奇维时空的Myers-Perry族中。这些孤子没有视界，而是一个由裸CTC包围的准正则性质的圆锥奇点。这种准正则奇点对于一组离散的角动量值来说是正则的，至少对于具有U（N）对称性的迈尔斯-佩里解来说是这样。虽然要求时间坐标在无穷远处具有周期性，空间无穷远处成为透镜空间S D−2 /Zn，但相应的时空是单连通的，不能通过取覆盖时空来消除CTC。第1节。在四维空间中，虽然没有一般定理禁止渐近平坦的正则单连通解具有裸CTC，但没有发现这样的解。例如，Kerr解只有当它具有负质量和裸环奇点时才具有CTC。Kerr-Newman解即使对于正质量也有裸CTC，但仅在裸环奇点的超极端情况下才有。类似地，δ = 2（1）的Tomimatsu-Sato解具有双视界，旋转Killing矢量产生的圆在连接两视界的z轴段附近变为类时，但时空具有众所周知的裸环奇点和沿该段沿着的圆锥奇点. 2)在这里，渐近平坦性是一个关键条件，因为如果我们不施加该条件，则我们将Taub-NUT解作为具有CTC的曲率正则真空解的著名示例。物质的存在也倾向于允许CTC的解决方案，如Kerr-Newman解决方案和哥德尔解决方案所示。正如吉本斯和赫尔代罗首先指出的那样，当我们进入更高维度时，情况会发生变化。3)他们研究了BMPV解的因果结构，4），5）这是一个具有两个参数μ和ω的BPS解，用于五维规范超引力理论，通过K3× S1上的紧化从IIA型超引力获得：
In this paper, we show that curvature-regular asymptotically flat solitons with negative mass are contained in the Myers-Perry family of odd spacetime dimensions. These solitons do not have a horizon, but instead a conical singularity of quasi-regular nature surrounded by naked CTCs. This quasi-regular singularity can be made regular for a set of discrete values of angular momentum, at least for the Myers-Perry solutions with U(N) symmetry. Although the time coordinate is required to have a periodicity at infinity and the spatial infinity becomes a lens space S D−2 /Zn, the corresponding spacetime is simply connected, and the CTCs cannot be eliminated by taking a covering spacetime. §1. Introduction In four dimensions, although no general theorem forbids an asymptotically flat regular simply-connected solution with naked CTCs, no such solution has been found. For example, the Kerr solution has CTCs only when it has a negative mass and naked ring singularity. The Kerr-Newman solution has naked CTCs even for positive mass but only in the superextreme case with naked ring singularity. Similarly, the Tomimatsu-Sato solution with δ = 2 1) has double horizons and circles generated by the rotational Killing vector become time-like near the z-axis segment connecting two horizons, but the spacetime has the well-know naked ring singularity and a conical singularity along the segment. 2) Here, the asymptotically flatness is a crucial condition, because we have the Taub-NUT solution as a famous example with a curvature-regular vacuum solution with CTCs if we do not impose that condition. The existence of matter also tends to allow solutions with CTCs, as illustrated by the Kerr-Newman solution and the Gödel solution. When we go to higher dimensions, the situation changes, as first pointed out by Gibbons and Herdeiro. 3) They examined the causal structure of the BMPV solution, 4), 5) which is a BPS solution with two parameters µ and ω to the five-dimensional gauged supergravity theory obtained from the type IIA supergravity by compactification over K3×S 1 :
影响因子：
1.5
作者：
Gibbons, GW;L端, H;Pope, CN
通讯作者：
Pope, CN