Applied General Relativity

In the late 20th and beginning 21st century high-precision astronomy, positioning and metrology strongly rely on general relativity. Supported by exercises and solutions this book offers graduate students and researchers entering those fields a self-contained and exhaustive but accessible treatment of applied general relativity. The book is written in a homogenous (graduate level textbook) style allowing the reader to understand the arguments step by step. It first introduces the mathematical and theoretical foundations of gravity theory and then concentrates on its general relativistic applications: clock rates, clock sychronization, establishment of time scales, astronomical references frames, relativistic astrometry, celestial mechanics and metrology. The authors present up-to-date relativistic models for applied techniques such as Satellite LASER Ranging (SLR), Lunar LASER Ranging (LLR), Globale Navigation Satellite Systems (GNSS), Very Large BaselineInterferometry (VLBI), radar measurements, gyroscopes and pulsar timing. A list of acronyms helps the reader keep an overview and a mathematical appendix provides required functions and terms.

Serves as graduate-level textbook and basic reference to the field of Applied General Relativity Self-contained and thus also suitable for self-studies Contains many exercises

Autorentext

Prof. Dr. phil. nat. Michael Soffel is the director of the Lohrmann Observatory of the Technical University Dresden. He is an internationally known expert in relativistic celestial mechanics, relativistic astronomy and geodesy and experimental gravity research. He is the author of the books Relativity in Astrometry, Celestial Mechanics and Geodesy (Springer, 1989) and Space-Time Reference Systems. Prof. Wen-Biao Han, who receicved his Ph.D. in 2009, is full professor at Shanghai Astronomical Observatory, Chinese Academy of Sciences. His research area focuses on relativistic fundamental astronomy, numerical simulations of gravity waves and low-frequency gravitational astronomy. He is author of many scientific papers and principle investigator of the group 'Gravitational waves and relativistic fundamental astronomy' at Shanghai Astronomical observatory.

Zusammenfassung

In the late 20 th and beginning 21 st century high-precision astronomy, positioning and metrology strongly rely on general relativity. Supported by exercises and solutions this book offers graduate students and researchers entering those fields a self-contained and exhaustive but accessible treatment of applied general relativity. The book is written in a homogenous (graduate level textbook) style allowing the reader to understand the arguments step by step. It first introduces the mathematical and theoretical foundations of gravity theory and then concentrates on its general relativistic applications: clock rates, clock sychronization, establishment of time scales, astronomical references frames, relativistic astrometry, celestial mechanics and metrology. The authors present up-to-date relativistic models for applied techniques such as Satellite LASER Ranging (SLR), Lunar LASER Ranging (LLR), Globale Navigation Satellite Systems (GNSS), Very Large BaselineInterferometry (VLBI), radar measurements, gyroscopes and pulsar timing. A list of acronyms helps the reader keep an overview and a mathematical appendix provides required functions and terms.

Inhalt
Preface.- Introduction.- Elements of Differential Geometry.- Newtonian Celestial Mechanics.- Relativity.- Einstein's Theory of Gravity.- Exact Solutions- Field moments.- The Post-Newtonian and MPM Formalism.- First Applications of the PN-Formalism.- Astronomical Reference Systems.- The Gravitational N-Body Problem.- Light-Rays.- Metrology.- Appendix.