Practical Relativity
From First Principles to the Theory of Gravity
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Beschreibung
Practical Relativity is an advanced textbook that aims to emphasize the real applications of relativity and places the topic in the context of experimental science. The 'practical' aspect of the book rests primarily on the author's method of starting at the beginning of the topic and proceeding to advanced material, while including all the stages that lead to important results. This book encompasses an approach that remains as close as possible to familiar concepts of vectors, tensors and reference systems in the hope of capitalizing on received wisdom.
Presented in six chapters, each chapter takes a logical step on the way to relativistic electromagnetism and gravity.
Chapter topics are:
* Non-relativity for Relativists
* Invariance of Physical Law Under Change of Inertial Frame of Reference
* Implications: Using and Understanding the Lorentz Transformations
* Electromagnetic Theory in Space-time
* Gravitational Structure of Space-time
* The Measure of Space-time
Problems and examples are included throughout the book and a solutions manual is available at www.wiley.com/go/henriksen.
This book may be used as lecture material for a course on special relativity and gravitation at an undergraduate and graduate level, and will appeal to students studying for both physics and astronomy. In addition, it will be a useful source book for physicists, astronomers and engineers.
The book is intended to serve as lecture material for courses on relativity at undergraduate level. Although there has been much written on special relativity the present book will emphasize the real applications of relativity. In addition, it will be physically designed with the use of box summaries so as to allow easy access of practical results. The book will be composed of eight chapters. Chapter 1 will give an introduction to special relativity that is the world without gravity. Implications will be presented with emphasis on time dilation and the Doppler shift as practical considerations. In Chapter 2, the four-vector representation of events will be introduced. The bulk of this chapter will deal with flat space dynamics. This will require the generalization of Newton's first and second laws. Some important astronomical applications will be discussed in Chapter 3 and in Chapter 4 some engineering applications of special relativity such as atomic clocks will be presented. Chapter 5 will be dedicated to the thorny question of gravity. The physical motivation of the theory must be examined and the geometrical interpretation presented. Chapter 6 will present astronomical applications of relativistic gravity. These include the usual solar system tests; light bending, time delay, gravitational red-shift, precession of Keplerian orbits. Chapter 7 will be dedicated to relativistic cosmology. Many of the standard cosmological concepts will be introduced, being mathematically simple but conceptually subtle. The concluding chapter will be largely dedicated to the global positioning system as an engineering problem that requires both inertial and gravitational relativity. The large interferometers designed as gravitational wave telescopes will be discussed here.
Autor*in
Richard N. Henriksen
Themen in »Practical Relativity«
Classical & Fluid Mechanics Electrical & Electronics Engineering Elektrotechnik u. Elektronik Fernerkundung Klassische u. Strömungsmechanik Mathematical & Computational Physics Mathematische Physik Physics Physik Relativitätstheorie Remote Sensing