Investigation of the Cosmic Censorship Hypothesis in Terms of Classification of Terminal Singularities

从终端奇点的分类角度研究宇宙审查假说

基本信息

批准号：
11640273
负责人：
KODAMA Hideo
金额：
$ 1.92万
依托单位：
KYOTO UNIVERSITY
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
1999
资助国家：
日本
起止时间：
1999 至 2002
项目状态：
已结题

项目摘要

Major results of this research project are summarized as follows.1. Perturbation of the Tolman-Bondi Solution (Nakao): In order to see the stability and physical effects of naked singularities produced by gravitational collapse of dust, we investigated the behavior of perturbations of the solution. We found that the energy flux of gravitational perturbation diverges at the Cauchy horizon, but the total emitted energy is of the order of the Planck energy within the classical regime.2. Spacetime structure of the Tomimatsu-Sato solution (Kodama): In order to investigate the structure of singularities formed by non-spherically symmetric gravitational collapse, we examined in detail the structure of the Weyl and the Tomimatsu-Sato solutions, which are the most famous stationary axisymmetric vacuum solutions to the Einstein equations containing naked singularities. We showed that these spacetimes have quite richer structure which has not been recognized so far.3. Classification of compact Bi … More anchi models (Kodama): We have succeeded in giving a complete classification of spatially compact and locally homogeneous universe models with and without perfect fluid. As a consequence, we showed that models whose space is of the Thurston-type H^2xR or SL_2R have the largest dynamical degrees of freedom.4. Perturbation of the brane-world model (Kodama): We gave a complete gauge-invariant formulation for perturbations of higher-dimensional spacetimes with a partial spatial symmetry, including the brane-world model, for the first time in the world, and provided a basis for the investigation of structure formation in higher-dimensional models. Further, using this formalism, we pointed out instabilities of some cosmological solutions of the Horava-Witten model.5. Singularities and black holes in higher-dimensional theories (Kodama, Nakao): We determined all possible configurations of a vacuum brane in static and spherically symmetric spacetimes with arbitrary dimensions, and on the basis of this, we proved that there exists no brane configuration which contains a regular black hole, in such spacetimes. Further, we pointed out some rigidity properties of the vacuum brane in higher-dimensional static spacetimes satisfying the Einstein equations. We also showed that the hoop conjecture does not hold in higher dimensions, by constructing initial value data for higher-dimensional Einstein theory numerically. Less

该研究项目的主要结果总结如下1。 Tolman-Bondi溶液（Nakao）的扰动：为了查看引力崩溃的灰尘崩溃产生的稳定性和物理效应，我们研究了溶液扰动的行为。我们发现，引力扰动的能量通量在凯奇（Cauchy）地平线上有所不同，但总发射能量是经典制度内普朗克能量的顺序。2。 Tomimatsu-sato解决方案（Kodama）的时空结构：为了研究非球面对称的引力崩溃形成的奇异性结构，我们详细检查了Weyl和Tomimatsu-Sato溶液的结构，这些结构是最著名的轴向轴称为含有Einstein式的含有含有einstein einumentions的轴向轴称为含有含有的nobsed nobled nobled nobled singular sigrumentiment。我们表明，这些空间具有更丰富的结构，到目前为止尚未得到认可。3。紧凑型BI的分类…更多的锚模型（Kodama）：我们成功地对具有和不完美流体的空间紧凑和局部均匀的宇宙模型进行了完整的分类。结果，我们表明的是，其空间是瑟斯顿型h^2xr或sl_2r的模型具有最大的自由度动态程度。4。 Brane-World模型（Kodama）的扰动：我们有一个完整的规格不变公式，用于具有部分空间对称性的较高维空间的扰动，包括Brane-World模型，在世界上首次为较高维度模型的结构形成提供了基础。此外，使用这种格式化，我们指出了Horava-Witten模型的某些宇宙学解决方案的不稳定性。5。高维理论（Kodama，Nakao）中的奇异性和黑洞：我们确定了具有任意维度的静态和对称空间中真空brane的所有可能配置，我们证明，我们证明没有包含常规黑洞的铜配置，在这种空位中。此外，我们指出了在满足爱因斯坦方程的较高静态间距中真空棕褐色的某些刚性特性。我们还表明，通过在数值上构建高维的爱因斯坦理论的初始价值数据，箍构建不会在更高的维度中保持。较少的