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1.

図書

図書
Moshe Carmeli
出版情報: Singapore : World Scientific, c2001  xvii, 650 p. ; 26 cm
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2.

図書

図書
Martin Bojowald
出版情報: New York : Cambridge University Press, 2011  vi, 305 p. ; 26 cm
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目次情報: 続きを見る
Introduction / 1:
Isotropic cosmology: a prelude / 2:
Equations of motion / 2.1:
Matter parameters / 2.2:
Energy conditions / 2.3:
Singularities / 2.4:
Linear perturbations / 2.5:
Hamiltonian formulation of general relativity / 3:
Constrained systems / 3.1:
Geometry of hypersurfaces / 3.2:
ADM formulation of general relativity / 3.3:
Initial-value problem / 3.4:
First-order formulations and Ashtekar variables / 3.5:
Canonical matter systems / 3.6:
Model systems and perturbations / 4:
Bianchi models / 4.1:
Symmetry / 4.2:
Spherical symmetry / 4.3:
Linearized gravity / 4.4:
Global and asymptotic properties / 5:
Geodesic congruences / 5.1:
Trapped surfaces / 5.2:
Asymptotic infinity / 5.3:
Matching of solutions / 5.4:
Horizons / 5.5:
Quantum gravity / 6:
Constrained quantization and background independence / 6.1:
Quantum cosmology / 6.2:
Quantum black holes / 6.3:
The status of canonical quantum gravity / 6.4:
Appendix A: Some mathematical methods
References
Index
Introduction / 1:
Isotropic cosmology: a prelude / 2:
Equations of motion / 2.1:
3.

図書

図書
Steven Carlip
出版情報: Cambridge : Cambridge University Press, 1998  xiii, 276 p. ; 26 cm
シリーズ名: Cambridge monographs on mathematical physics
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Why (2+1)-dimensional gravity / 1:
Classical general relativity in 2+1 dimensions / 2:
A field guide to the (2+1)-dimensional spacetimes / 3:
Geometric structures and Chern-Simons theory / 4:
Canonical quantization in reduced phase space / 5:
The connection representation / 6:
Operator algebras and loops / 7:
The Wheeler-DeWitt equation / 8:
Lorentzian path integrals / 9:
Euclidian path integrals and quantum cosmology / 10:
Lattice methods / 11:
The (2+1)-dimensional black hole / 12:
Next steps / 13:
The topology of manifolds / Appendix A:
Lorentzian metrics and causal structure / Appendix B:
Differential geometry and fiber bundles / Appendix C:
References
Index
Why (2+1)-dimensional gravity / 1:
Classical general relativity in 2+1 dimensions / 2:
A field guide to the (2+1)-dimensional spacetimes / 3:
4.

図書

図書
Thomas Thiemann
出版情報: Cambridge : Cambridge University Press, 2008  xxvi, 819 p. ; 25 cm
シリーズ名: Cambridge monographs on mathematical physics
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目次情報: 続きを見る
Preface
Notation and conventions
Introduction
Classical Foundations, Interpretation and the Canonical Quantisation Programme / Part I:
Classical Hamiltonian formulation of general relativity / 1:
The problem of time, locality and the interpretation of quantum mechanics / 2:
The programme of canonical quantisation / 3:
The new canonical variables of Ashtekar for general relativity / 4:
Foundations of Modern Canonical Quantum General Relativity / Part II:
Step I: the holonomy-flux algebra [P] / 5:
Step II: quantum-algebra / 7:
Step III: representation theory of [A] / 8:
Step IV / 9:
Implementation and solution of the kinematical constraints
Step V / 10:
Implementation and solution of the Hamiltonian constraint
Step VI: semiclassical analysis / 11:
Physical Applications / Part III:
Extension to standard matter / 12:
Kinematical geometrical operators / 13:
Spin foam models / 14:
Quantum black hole physics / 15:
Applications to particle physics and quantum cosmology / 16:
Loop quantum gravity phenomenology / 17:
Mathematical Tools and their Connection to Physics / Part IV:
Tools from general topology / 18:
Differential, Riemannian, symplectic and complex geometry / 19:
Semianalytical category / 20:
Elements of fibre bundle theory / 21:
Holonomies on non-trivial fibre bundles / 22:
Geometric quantisation / 23:
The Dirac algorithm for field theories with constraints / 24:
Tools from measure theory / 25:
Elementary introduction to Gel'fand theory for Abelean C* algebras / 26:
Bohr compactification of the real line / 27:
Operatir -algebras and spectral theorem / 28:
Refined algebraic quantisation (RAQ) and direct integral decomposition (DID) / 29:
Basics of harmonic analysis on compact Lie groups / 30:
Spin network functions for SU(2) / 31:
+ Functional analytical description of classical connection dynamics / 32:
Bibliography
Index
Preface
Notation and conventions
Introduction
5.

図書

図書
John K. Beem, Paul E. Ehrlich, Kevin L. Easley
出版情報: New York : Marcel Dekker, c1996  xiv, 635 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 202
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Introduction - Riemannian themes in Lorentzian geometry
connections and curvature
Lorentzian manifolds and causality
Lorentzian distance
examples of space-times
completness and extendibility
stability of completeness and incompleteness
maximal geodesics and causally disconnected space-times
the Lorentzian cut locus
Morse index theory on Lorentzian manifolds
some results in global Lorentzian geometry
singularities
gravitational plane wave space-times
the splitting problem"
Introduction - Riemannian themes in Lorentzian geometry
connections and curvature
Lorentzian manifolds and causality
6.

図書

図書
D. Kramer ... [et al.] ; edited by E. Schmutzer
出版情報: Cambridge [Eng.] : Cambridge University Press, 1980  425 p. ; 24 cm
シリーズ名: Cambridge monographs on mathematical physics ; no. 6
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7.

図書

図書
John K. Beem, Paul E. Ehrlich
出版情報: New York : M. Dekker, c1981  vi, 460 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 67
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8.

図書

図書
by M. G. Bowler
出版情報: Oxford ; New York : Pergamon Press, 1976  x, 172 p. ; 25 cm
シリーズ名: International series in natural philosophy ; v. 86
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9.

図書

図書
В.П. Визгин
出版情報: Москва : Изд-во “Наука", 1981  349 p. ; 23 cm
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10.

図書

図書
S. Chandrasekhar
出版情報: Chicago : University of Chicago Press, c1997  viii, 295 p. ; 25 cm
シリーズ名: Selected papers / S. Chandrasekhar ; v. 7
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目次情報: 続きを見る
The Non-Radial Oscillations of StarsForeword Valeria Ferrari / Pt. 1:
On the Non-Radial Oscillations of a Star / S. Chandrasekhar ; V. Ferrari1:
On the Non-Radial Oscillations of Slowly Rotating Stars Induced by the Lense-Thirring Effect / 2:
Further Amplifications / R. Winston3:
A Reconsideration of the Axial Modes / 4:
An Application of the Theory of Regge Poles / 5:
A Fully Relativistic Treatment of a Newtonian Star / 6:
The Einstein Pseudo-Tensor and the Flux Integral for Perturbed Static Space-Times / 7:
On Spherical Free Gravitational Waves / 8:
Other WritingsForeword Lalitha Chandrasekhar
The Series Paintings of Claude Monet and the Landscape of General Relativity / 9:
The Perception of Beauty and the Pursuit of Science / 10:
The Case for Astronomy / 11:
Ellipsoidal Figures of Equilibrium - An Historical Account / 12:
Why Are Stars As They Are? / 13:
The Role of General Relativity in Astronomy / 14:
Hydrodynamic Stability and Turbulence (1922-1948): An Annotation / 15:
On Reading Newton's Principia at Age Past Eighty / 16:
Newton and Michelangelo / 17:
Daniel Chalonge and the Problem of the Abundance of Hydrogen / 18:
To Victor Ambartsumian on His Eightieth Birthday / 19:
On the Occasion of the Charles Greeley Abbot Award by the American Solar Energy Society / 20:
Science and Scientific Attitudes / 21:
C. T. Rajagopal S. Chandrasekhar, Andre Weil / 22:
On Ramanujan / 23:
Reminiscences and Discoveries: On Ramanujan's Bust / 24:
Foreword to the Issue dedicated to the Memory of Meghnad Saha / 25:
Indira Gandhi: Some Recollections / 26:
In Memoriam: Jawaharlal Nehru / 27:
Acknowledgments
The Non-Radial Oscillations of Stars
Foreword / Valeria Ferrari
Other Writings / S. Chandrasekhar, V. FerrariII:
Foreword to the Issue dedicated to the Memory of / Lalitha Chandrasekhar ; Meghnad Saha
In Memoriam / Jawaharlal Nehru
The Non-Radial Oscillations of StarsForeword Valeria Ferrari / Pt. 1:
On the Non-Radial Oscillations of a Star / S. Chandrasekhar ; V. Ferrari1:
On the Non-Radial Oscillations of Slowly Rotating Stars Induced by the Lense-Thirring Effect / 2:
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