Ellipsoidal figures of equilibrium in the first post-newtonian approximation of general relativity 一般相対論の1次ポストニュートン近似における楕円体の平衡形状
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Bibliographic Information
- Title
-
Ellipsoidal figures of equilibrium in the first post-newtonian approximation of general relativity
- Other Title
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一般相対論の1次ポストニュートン近似における楕円体の平衡形状
- Author
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谷口, 敬介
- Author(Another name)
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タニグチ, ケイスケ
- University
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京都大学
- Types of degree
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博士 (理学)
- Grant ID
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甲第7640号
- Degree year
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1999-03-23
Note and Description
博士論文
Table of Contents
- 論文目録 / (0001.jp2)
- Contents / p2 (0005.jp2)
- I Introduction / p5 (0008.jp2)
- A Motivation / p5 (0008.jp2)
- B Brief Summary of the Ellipsoidal Figures of Equilibrium / p6 (0009.jp2)
- II Binary Neutron Stars / p7 (0010.jp2)
- A Observation / p7 (0010.jp2)
- B Evolution of the Binary Neutron Star / p8 (0011.jp2)
- III Notations / p10 (0013.jp2)
- IV The Post-Newtonian Equations of Hydrodynamics / p10 (0013.jp2)
- A Relativistic Fluid Equations in the 3+1 Formalism / p10 (0013.jp2)
- B First Post-Newtonian Equations / p13 (0016.jp2)
- V The Potentials of Homogeneous Ellipsoids / p15 (0018.jp2)
- A Quadrupole and Hexadecapole Moments / p15 (0018.jp2)
- B Index Symbols / p16 (0019.jp2)
- C Newtonian Gravitational Potential / p17 (0020.jp2)
- D Super Potentials / p17 (0020.jp2)
- E Potential Energy / p18 (0021.jp2)
- F The Variations Resulting from Small Deformations of Ellipsoids / p19 (0022.jp2)
- VI The Maclaurin Spheroids in the First Post-Newtonian Approximation / p19 (0022.jp2)
- A Formulation / p19 (0022.jp2)
- B Second Tensor Virial Equations / p23 (0026.jp2)
- C Boundary Condition / p25 (0028.jp2)
- D The Total Energy and Total Angular Momentum / p26 (0029.jp2)
- E Numerical Results / p27 (0030.jp2)
- F Summary / p30 (0033.jp2)
- VII The Jacobi Ellipsoids in the First Post-Newtonian Approximation / p31 (0034.jp2)
- A Formulation / p31 (0034.jp2)
- B Second Tensor Virial Equations / p34 (0037.jp2)
- C Boundary Condition / p38 (0041.jp2)
- D The Total Energy and Total Angular Momentum / p40 (0043.jp2)
- E Numerical Results / p42 (0045.jp2)
- F Summary / p44 (0047.jp2)
- VIII The Irrotational Riemann Ellipsoids in the First Post-Newtonian Approximation / p48 (0051.jp2)
- A Formulation / p48 (0051.jp2)
- B Second Tensor Virial Equation / p54 (0057.jp2)
- C Boundary Conditions / p57 (0060.jp2)
- D The Total Energy and Total Angular Momentum / p61 (0064.jp2)
- E Numerical Results / p63 (0066.jp2)
- F Summary and Discussion / p66 (0069.jp2)
- IX The Darwin Ellipsoids in the First Post-Newtonian Approximation / p68 (0071.jp2)
- A Formulation / p69 (0072.jp2)
- B The Post-Newtonian Angular Velocity / p77 (0080.jp2)
- C Boundary Condition / p81 (0084.jp2)
- D The Total Energy and Total Angular Momentum / p84 (0087.jp2)
- E Numerical Results / p86 (0089.jp2)
- F Summary / p89 (0092.jp2)
- X The Irrotational Darwin-Riemann Ellipsoids in the First Post-Newtonian Approximation / p91 (0094.jp2)
- A Formulation / p91 (0094.jp2)
- B The Post-Newtonian Angular Velocity / p102 (0105.jp2)
- C Boundary Conditions / p105 (0108.jp2)
- D The Total Energy and Total Angular Momentum / p110 (0113.jp2)
- E Numerical Results / p113 (0116.jp2)
- F Summary and Discussion / p120 (0123.jp2)
- XI Conclusion and Future Works / p121 (0124.jp2)
- A Conclusion / p121 (0124.jp2)
- B Future Works / p121 (0124.jp2)
- APPENDIXES / p122 (0125.jp2)
- A Gravitational Radiation from an Incompressible Star and a Binary Sysytem in the First Post-Newtonian Approximation / p122 (0125.jp2)
- 1 Gravitational Radiation from an Incompressible Star / p122 (0125.jp2)
- 2 Gravitational Radiation from an Incompressible Binary System / p128 (0131.jp2)
- Solving the Darwin problem in the first post-Newtonian approximation of general relativity / p798 (0188.jp2)
- Solving the Darwin problem in the first post-Newtonian approximation of general relativity:Compressible model / p811 (0202.jp2)
- Chapter5 Location of the Innermost Stable Circular Orbit of Binary Neutron Stars in the Post Newtonian Approximations of General Relativity / p295 (0219.jp2)
- Irrotational and Incompressible Ellipsoids in the First Post-Newtonian Approximation of General Relativity / p703 (0260.jp2)
- Gravitational radiation from corotating binary neutron stars of incompressible fluid in the first post-Newtonian approximation of general relativity / p1 (0294.jp2)
- Innermost Stable Circular Orbit of Coalescing Neutron Star-Black Hole Binary / p693 (0311.jp2)
