A self-contained exposition of general relativity with an emphasis on tetrad and spinor structures and physical measurements on curved manifolds. P General relativity is now essential to the understanding of modern physics, but the power of the theory cannot be exploited fully without a detailed knowledge of its mathematical structure. This book aims to implement this structure, and then to develop those applications that have been central to the growth of the theory. The first three chapters provide an overview of differential geometry. Chapter 4 extensively analyzes the properties of a...
A self-contained exposition of general relativity with an emphasis on tetrad and spinor structures and physical measurements on curved manifolds. P Ge...
The theorems of Hawking and Penrose show that space-times are likely to contain incomplete geodesics. Such geodesics are said to end at a singularity if it is impossible to continue the space-time and geodesic without violating the usual topological and smoothness conditions on the space-time. In this book the different possible singularities are defined, and the mathematical methods needed to extend the space-time are described in detail. The results obtained (many appearing here for the first time) show that singularities are associated with a lack of smoothness in the Riemann tensor. While...
The theorems of Hawking and Penrose show that space-times are likely to contain incomplete geodesics. Such geodesics are said to end at a singularity ...
General relativity is now essential to the understanding of modern physics, but the power of the theory cannot be exploited fully without a detailed knowledge of its mathematical structure. This book aims to implement this structure, and then to develop those applications that have been central to the growth of the theory.
General relativity is now essential to the understanding of modern physics, but the power of the theory cannot be exploited fully without a detailed k...
