Pseudo-Complex General Relativity

This volume presents an pseudo-complex extension of General Relativity which addresses these issues and presents proposals for experimental examinations in strong fields near a large mass. General Relativity is a beautiful and well tested theory of g

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Peter O. Hess Mirko Schäfer Walter Greiner

Pseudo-Complex General Relativity

FIAS Interdisciplinary Science Series Editor-in-chief Walter Greiner, Frankfurt am Main, Germany Editorial Board Ernst Bamberg, Frankfurt am Main, Germany Marc Thilo Figge, Jena, Germany Thomas Haberer, Heidelberg, Germany Volker Lindenstruth, Frankfurt am Main, Germany Joachim Reinhardt, Frankfurt, Germany Klaus Schulten, Urbana, USA Wolf Singer, Frankfurt am Main, Germany Horst Stöcker, Darmstadt, Germany

More information about this series at http://www.springer.com/series/10781

Peter O. Hess Mirko Schäfer Walter Greiner •

Pseudo-Complex General Relativity

123

Peter O. Hess Instituto de Ciencias Nucleares Universidad Nacional Autónoma de México Mexico City, Distrito Federal Mexico

Walter Greiner Frankfurt Institute for Advanced Studies University of Frankfurt Frankfurt am Main, Hessen Germany

Mirko Schäfer Frankfurt Institute for Advanced Studies University of Frankfurt Frankfurt am Main, Hessen Germany

FIAS Interdisciplinary Science Series ISBN 978-3-319-25060-1 ISBN 978-3-319-25061-8 DOI 10.1007/978-3-319-25061-8

(eBook)

Library of Congress Control Number: 2015952035 Springer Cham Heidelberg New York Dordrecht London © Springer International Publishing Switzerland 2016 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, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper Springer International Publishing AG Switzerland is part of Springer Science+Business Media (www.springer.com)

Preface

General relativity (GR), one of the most and best checked physical theories of our time, exhibits singularities: The theory predicts that when a sufficient large mass collapses, no known force is able to stop it until all mass is concentrated at a point. The theory also predicts so-called coordinate singularities. These are singularities in the metric which vanish after a transformation to different coordinates. For example, when an astronaut falls freely towards a black hole, he will not see anything special, except the grav