The Physical and Mathematical Foundations of the Theory of Relativity
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 transit
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The Physical and Mathematical Foundations of the Theory of Relativity A Critical Analysis
Antonio Romano Mario Mango Furnari •
The Physical and Mathematical Foundations of the Theory of Relativity A Critical Analysis
Antonio Romano Dipartimento di Matematica e Applicazioni “Renato Caccioppoli” Università degli Studi di Napoli Federico II Naples, Italy
Mario Mango Furnari Istituto di Cibernetica Naples, Italy
ISBN 978-3-030-27236-4 ISBN 978-3-030-27237-1 https://doi.org/10.1007/978-3-030-27237-1
(eBook)
Mathematics Subject Classification (2010): 83AXX, 83BXX, 83CXX, 83FXX © Springer Nature Switzerland AG 2019 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, expressed or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. This book is published under the imprint Birkhäuser, www.birkhauser-science.com by the registered company Springer Nature Switzerland AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Preface
Writing a book on relativity today is equivalent to adding a grain of sand to a very large beach. In fact, the list of books about special and general relativity is very extensive, and the reader can find many introductory and specialist books. Among the former, there are excellent texts that allow the reader to understand the principles of relativity, whereas in books of the second category, it is possible to deepen all the advanced topics of relativity (Cauchy problem, geometric properties of spacetime in the large, cosmological models, star structure, etc.). Finally, there are books devoted to the most recent developments of the theory. Why, then, to add another text to so extensive a list of books? Why add another grain of sand to so wide a beach? We now make clear the factors that pushed us to write this introductory textbook. First, it is our rooted opinion that the reader should understand which classical concepts he or she is leaving behind in following the path that will lea
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