| Project/Area Number |
15540267
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Particle/Nuclear/Cosmic ray/Astro physics
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| Research Institution | Kyoto University |
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Principal Investigator |
KODAMA Hideo Kyoto University, Yukawa Institute for Theoretical Physics, Professor, 基礎物理学研究所, 教授 (40161947)
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| Project Period (FY) |
2003 – 2005
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| Project Status |
Completed (Fiscal Year 2005)
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| Budget Amount *help |
¥2,800,000 (Direct Cost: ¥2,800,000)
Fiscal Year 2005: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2004: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2003: ¥1,300,000 (Direct Cost: ¥1,300,000)
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| Keywords | higher-dimensional unified theory / supergravity / stability / black hole / flux compactification / gauge-invariant perturbation theory / spacetime singularities / uniqueness theorem / モジュライ安定化 / M理論 / 4次元有効理論 / 高次元宇宙論 / 厳密解 / 一意性 / ブラックブレイン / コンパクト化 / 超対称性の破れ / 大域的時空構造 / 高次元理論 / 摂動的安定性 / ホライズン |
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| Research Abstract |
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
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