Classical Measurements in Curved Space-Times
Title | Classical Measurements in Curved Space-Times PDF eBook |
Author | Fernando de Felice |
Publisher | Cambridge University Press |
Total Pages | 326 |
Release | 2010-07-29 |
Genre | Science |
ISBN | 1139491598 |
The theory of relativity describes the laws of physics in a given space-time. However, a physical theory must provide observational predictions expressed in terms of measurements, which are the outcome of practical experiments and observations. Ideal for readers with a mathematical background and a basic knowledge of relativity, this book will help readers understand the physics behind the mathematical formalism of the theory of relativity. It explores the informative power of the theory of relativity, and highlights its uses in space physics, astrophysics and cosmology. Readers are given the tools to pick out from the mathematical formalism those quantities that have physical meaning and which can therefore be the result of a measurement. The book considers the complications that arise through the interpretation of a measurement, which is dependent on the observer who performs it. Specific examples of this are given to highlight the awkwardness of the problem.
Flat and Curved Space-times
Title | Flat and Curved Space-times PDF eBook |
Author | George Francis Rayner Ellis |
Publisher | Clarendon Press |
Total Pages | 394 |
Release | 2000 |
Genre | Mathematics |
ISBN | 9780198506560 |
This text explains special relativity and the basics of general relativity from a geometric viewpoint. Space-time geometry is emphasised throughout, and up-to-date information is provided on black holes, gravitational collapse, and cosmology.
Relativity on Curved Manifolds
Title | Relativity on Curved Manifolds PDF eBook |
Author | F. de Felice |
Publisher | Cambridge University Press |
Total Pages | 466 |
Release | 1992-03-27 |
Genre | Mathematics |
ISBN | 9780521429085 |
This is a self-contained exposition of general relativity with emphasis given to tetrad and spinor structures and physical measurement on curved manifolds.
The Large Scale Structure of Space-Time
Title | The Large Scale Structure of Space-Time PDF eBook |
Author | Stephen W. Hawking |
Publisher | Cambridge University Press |
Total Pages | 414 |
Release | 2023-02-16 |
Genre | Science |
ISBN | 1009253182 |
First published in 1973, this influential work discusses Einstein's General Theory of Relativity to show how two of its predictions arise: first, that the ultimate fate of many massive stars is to undergo gravitational collapse to form 'black holes'; and second, that there was a singularity in the past at the beginning of the universe. Starting with a precise formulation of the theory, including the necessary differential geometry, the authors discuss the significance of space-time curvature and examine the properties of a number of exact solutions of Einstein's field equations. They develop the theory of the causal structure of a general space-time, and use it to prove a number of theorems establishing the inevitability of singularities under certain conditions. A Foreword contributed by Abhay Ashtekar and a new Preface from George Ellis help put the volume into context of the developments in the field over the past fifty years.
Classical Fields
Title | Classical Fields PDF eBook |
Author | Moshe Carmeli |
Publisher | World Scientific Publishing Company |
Total Pages | 668 |
Release | 2001-11-28 |
Genre | Science |
ISBN | 9813105909 |
This invaluable book presents gravitation and gauge fields as interrelated topics with a common physical and mathematical foundation, such as gauge theory of gravitation and other fields, giving emphasis to the physicist's point of view. About half of the material is devoted to Einstein's general relativity theory, and the rest to gauge fields that naturally blend well with gravitation, including spinor formulation, classification of SU(2) gauge fields and null-tetrad formulation of the Yang-Mills field in the presence of gravitation. The text includes a useful introduction to the physical foundation of the theory of gravitation. It also provides the mathematical theory of the geometry of curved space-times needed to describe Einstein's general relativity theory.
Semiclassical and Stochastic Gravity
Title | Semiclassical and Stochastic Gravity PDF eBook |
Author | Bei-Lok B. Hu |
Publisher | Cambridge University Press |
Total Pages | 615 |
Release | 2020-03-05 |
Genre | Science |
ISBN | 0521193575 |
An overview of semi-classical gravity theory and stochastic gravity as theories of quantum gravity in curved space-time.
Particle Physics of Brane Worlds and Extra Dimensions
Title | Particle Physics of Brane Worlds and Extra Dimensions PDF eBook |
Author | Sreerup Raychaudhuri |
Publisher | Cambridge University Press |
Total Pages | 343 |
Release | 2016-04-25 |
Genre | Science |
ISBN | 052176856X |
A comprehensive account of new models of extra dimensions which form an important part of present-day high-energy physics.