Topics in the Foundations of General Relativity and Newtonian Gravitation Theory
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Topics in the Foundations of General Relativity and Newtonian Gravitation Theory
About This Book
In Topics in the Foundations of General Relativity and Newtonian Gravitation Theory, David B. Malament presents the basic logical-mathematical structure of general relativity and considers a number of special topics concerning the foundations of general relativity and its relation to Newtonian gravitation theory. These special topics include the geometrized formulation of Newtonian theory (also known as Newton-Cartan theory), the concept of rotation in general relativity, and Gödel spacetime. One of the highlights of the book is a no-go theorem that can be understood to show that there is no criterion of orbital rotation in general relativity that fully answers to our classical intuitions. Topics is intended for both students and researchers in mathematical physics and philosophy of science.
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Table of contents
- Contents
- Preface
- 1. Differential Geometry
- 2. Classical Relativity Theory
- 3. Special Topics
- 4. Newtonian Gravitation Theory
- Solutions to Problems
- Bibliography
- Index