Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Einstein's general theory of relativity is widely considered to be one of the most elegant and successful scientific theories ever developed, and it is increasingly being taught in a simplified form at advanced undergraduate level within both physics and mathematics departments. Due to the increasing interest in gravitational physics, in both the academic and the public sphere, driven largely by widely-publicised developments such as the recent observations of gravitational waves, general relativity is also one of the most popular scientific topics pursued through self-study. Modern General Relativity introduces the reader to the general theory of relativity using an example-based approach, before describing some of its most important applications in cosmology and astrophysics, such as gamma-ray bursts, neutron stars, black holes, and gravitational waves. With hundreds of worked examples, explanatory boxes, and end-of-chapter problems, this textbook provides a solid foundation for understanding one of the towering achievements of twentieth-century physics.

General relativity (Physics) --- Astronomy --- Physics --- Relativité générale (physique) --- Astronomie --- Physique --- Relativistic theory of gravitation --- Relativity theory, General --- Gravitation --- Relativity (Physics) --- 530.12 --- 530.12 Relativity principle --- Relativity principle --- Astrophysics --- Theory of relativity. Unified field theory --- astronomy --- astrophysics --- General relativity (Physics) - Textbooks --- Astronomy - Textbooks --- Physics - Textbooks --- Relativité générale (physique)

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This unique textbook offers a mathematically rigorous presentation of the theory of relativity, emphasizing the need for a critical analysis of the foundations of general relativity in order to best study the theory and its implications. The transitions from classical mechanics to special relativity and then to general relativity are explored in detail as well, helping readers to gain a more profound and nuanced understanding of the theory as a whole. After reviewing the fundamentals of differential geometry and classical mechanics, the text introduces special relativity, first using the physical approach proposed by Einstein and then via Minkowski’s mathematical model. The authors then address the relativistic thermodynamics of continua and electromagnetic fields in matter – topics which are normally covered only very briefly in other treatments – in the next two chapters. The text then turns to a discussion of general relativity by means of the authors’ unique critical approach, underlining the difficulty of recognizing the physical meaning of some statements, such as the physical meaning of coordinates and the derivation of physical quantities from those of space-time. Chapters in this section cover the model of space-time proposed by Schwarzschild; black holes; the Friedman equations and the different cosmological models they describe; and the Fermi-Walker derivative. Well-suited for graduate students in physics and mathematics who have a strong foundation in real analysis, classical mechanics, and general physics, this textbook is appropriate for a variety of graduate-level courses that cover topics in relativity. Additionally, it will interest physicists and other researchers who wish to further study the subtleties of these theories and understand the contemporary scholarly discussions surrounding them.

Global differential geometry. --- Mathematical physics. --- Mathematical Physics. --- Differential Geometry. --- Classical and Quantum Gravitation, Relativity Theory. --- Mathematical Methods in Physics. --- Physical mathematics --- Physics --- Geometry, Differential --- Mathematics --- General relativity (Physics) --- Relativistic theory of gravitation --- Relativity theory, General --- Gravitation --- Relativity (Physics) --- Differential geometry. --- Gravitation. --- Physics. --- Field theory (Physics) --- Matter --- Antigravity --- Centrifugal force --- Differential geometry --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Properties --- Geometry, Differential.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

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 Baseline Interferometry (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.

Gravitation. --- Astrophysics. --- Aerospace engineering. --- Astronautics. --- Geophysics. --- Space sciences. --- Classical and Quantum Gravitation, Relativity Theory. --- Astrophysics and Astroparticles. --- Aerospace Technology and Astronautics. --- Geophysics/Geodesy. --- Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics). --- Science and space --- Space research --- Cosmology --- Science --- Astronomy --- Geological physics --- Terrestrial physics --- Earth sciences --- Physics --- Space sciences --- Aeronautics --- Astrodynamics --- Space flight --- Space vehicles --- Aeronautical engineering --- Astronautics --- Engineering --- Astronomical physics --- Cosmic physics --- Field theory (Physics) --- Matter --- Antigravity --- Centrifugal force --- Relativity (Physics) --- Properties --- General relativity (Physics) --- Relativistic theory of gravitation --- Relativity theory, General --- Gravitation