Investigation of large-scale spacetime structures in higher-dimensional cosmology

高维宇宙学中大尺度时空结构的研究

基本信息

批准号：
15540267
负责人：
KODAMA Hideo
金额：
$ 1.79万
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：
2003
资助国家：
日本
起止时间：
2003 至 2005
项目状态：
已结题

项目摘要

The major research achievements obtained by my investigations from 2003 to 2005 are summarized as follows :A)Perturbation theory of higher-dimensional static black holes : For the Einstein-Maxwell system with cosmological constant in arbitrary dimensions, we showed in terms of the gauge-invariant formulation that perturbation equations for a generalized static black holes can be reduced to decoupled 2^<nd>-order ordinary differential equations of the Schrodinger type (master equations) and we derived the explicit expressions for the effective potentials and source terms for the first time in the world. Further, with the help of this formulation, we proved that the Schwarzschild black hole of arbitrary dimensions and charged black holes in four and five dimensions with non-negative cosmological constant are perturbatively stable.B)Perturbative uniqueness of higher-dimensional black holes : We proved the perturbative uniqueness of asymptotically de Sitter regular black holes in four dime … More nsions and asymptotically flat or anti-de Sitter regular black holes in arbitrary dimensions.C)Stability of flux compactification : We have shown generally that warped supersymmetric stationary solutions obtained by flux compactification in IIB supergravity are always unstable irrespective of detailed structures of the internal space and flux, and that the instability arises additively in the size modulus.D)Four-dimensional effective theory of warped compactification : For flux compactification of IIB supergravity and heterotic M-theory, we derived four-dimensional effective theories for the size modulus of the internal space and the four-dimensional metric taking account of warping for the first time in the world. Further, we pointed out that this effective theory allows a wider class of solutions than the original higher-dimensional theories.E)Exact light-like solutions in M-theory : We obtained a general class of light-like solutions with 16 supersymmetries in eleven-dimensional supergravity. These solutions in general contain more than one arbitrary functions of a single variable and can be used to study dynamics of compactifications. Less

我的投资从2003年到2005年获得的主要研究成就总结如下： Schrodinger类型的方程式（主方程），我们在世界上首次获得了有效潜力和源术语的明确表达式。此外，借助该公式，我们规定，施瓦茨柴尔兹（Schwarzschild）的黑色黑洞是任意维度的黑洞，并在四个和五个维度上充电的黑洞具有非负宇宙学常数的稳定性。B）均触及式独特性，具有较高的黑色孔的敏感性。 c）通量压实的稳定性：我们通常表明，通过IIB超级强化中通量压实获得的扭曲的超对称超对称的固定溶液的稳定性总是不稳定的，无论是在内部空间和不稳定的详细结构中，都会有效地构造尺寸。 IIB超级强度和异性M理论的通量压实，我们得出了四维有效理论，该理论是内部空间大小模量的四维模量，以及在世界上首次扭曲的四维度量。此外，我们指出，这种有效的理论允许比原始的高维理论更广泛的解决方案。通常，这些解决方案包含一个多个变量的一个任意函数，可用于研究压缩动力学。较少的