| Dedication | |
| Preface | |
| Acknowledgments | |
| Basics of Cosmology | |
| Geometry and Dynamics | |
| Important quantities needed for observations | |
| Some solutions of EFL equations:some cosmological models | |
| The standard Big Bang Nucleosynthesis (SBBN) | |
| Observations of ``primordial abundances'' | |
| Confrontation of the observed ``primordial abundances'''' to the predictions of the sBBN | |
| Conclusions | |
| References | |
| X-ray View of Galaxy Clusters | |
| Observing Clusters in X-rays -- the Chandra Observatory | |
| Regular Clusters XD Cooling Flows A478 | |
| Physics of Cluster Cores | |
| Acknowledgments | |
| References | |
| Clusters: an optical point of view | |
| Cluster detections in the optical | |
| Studies of clusters | |
| Acknowledgements | |
| References | |
| Cosmology with Clusters | |
| Introduction | |
| What is a cluster? | |
| The spherical model | |
| The mass function | |
| Connection to the observations | |
| Properties of Clusters and scaling relations | |
| Clusters abundance evolution | |
| The baryon fraction | |
| Conclusion | |
| References | |
| Astrophysical detection of Dark Matter | |
| Signals from the Dark universe | |
| Inference probes | |
| Physical probes | |
| Conclusion | |
| References | |
| Non-thermal processes in galaxy clusters | |
| Non-thermal and relativistic phenomena in galaxy clusters | |
| The origin of cosmic rays in galaxy clusters | |
| The astrophysics of cosmic rays in galaxy clusters | |
| Conclusions | |
| Reference | |
| Cosmological Inflation | |
| Introduction | |
| The hot Big-Bang scenario and its problems | |
| Inflation and inflationary dynamics | |
| Basics of cosmological perturbations | |
| Synchronous gauge | |
| Longitudinal or Newtonian gauge | |
| Flat-slicing gauge | |
| Inflationary perturbations | |
| Basics of quantum field theory | |
| Perturbation spectrum | |
| Conclusion | |
| References | |
| An introduction to quintessence | |
| The two cosmological constant problems | |
| A scalar field as dark energy | |
| Stability of the wQ = Const regime | |
| Model building | |
| Dark energy and structure formation | |
| Observational status | |
| References | |
| CMB Observational Techniques and Recent Results | |
| Introduction | |
| Observational Techniques | |
| Recent Observations | |
| Summary | |
| Acknowledgments | |
| References | |
| Fluctuations in the CMB | |
| Introduction | |
| Cosmological Preliminaries | |
| The Last Scattering Surface | |
| Perturbations on Large and Small Scales | |
| Oscillations in the Primordial Plasma | |
| The Power Spectrum of CMB Fluctuations | |
| The CMB and Cosmological Parameters | |
| Conclusions | |
| Acknowledgments | |
| References | |
| Supernovae as astrophysical objects | |
| Some History | |
| Supernova classification | |
| Input Energy | |
| Core-collapse supernovae | |
| Type Ia supernovae | |
| Conclusions | |
| References | |
| Cosmology with Supernovae | |
| Introduction | |
| The Hubble constant | |
| The expansion history of the universe | |
| Universal acceleration according to Type Ia supernovae | |
| Characterising dark energy | |
| Conclusions | |
| References | |
| Gravitational lensing | |
| Introduction | |
| Physical mechanisms | |
| Multiple images and displacement field | |
| The amplification matrix | |
| Gravitational lenses in Cosmology | |
| The case of a spherically symmetric mass distribution | |
| Critical lines and caustics in realistic mass distributions | |
| Cosmic Shear: weak lensing as a probe of the large-scale structure | |
| Conclusions and perspectives: cosmic shear in a precision | |
| References | |
| Dark Matter | |
| Introduction | |
| Local Dark Matter | |
| Clusters and Groups of Galaxies | |
| Masses of Galaxies | |
| The Nature of Dark Matter | |
| Summary | |
| Acknowledgments | |
| References | |
| Dark Matter and Galaxy Formation | |
| Challenges of dark matter | |
| Global baryon inventory | |
| Confirmation via detailed census of MWG/M31 | |
| Hierarchical galaxy formation | |
| Unresolved issues in galaxy formation theory | |
| Resurrecting CDM | |
| An astrophysical solution: early winds | |
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