The Shadow of Black Holes An Analytic Description

This book introduces an analytic method to describe the shadow of black holes. As an introduction, it presents a survey of the attempts to observe the shadow of galactic black holes. Based on a detailed discussion of the Plebański–Demiański class of space

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Arne Grenzebach

The Shadow of Black Holes An Analytic Description 123

SpringerBriefs in Physics Editorial Board Egor Babaev, University of Massachusetts, Massachusetts, USA Malcolm Bremer, University of Bristol, Bristol, UK Xavier Calmet, University of Sussex, Sussex, UK Francesca Di Lodovico, Queen Mary University of London, London, UK Maarten Hoogerland, University of Auckland, Auckland, New Zealand Eric Le Ru, Victoria University of Wellington, Wellington, New Zealand Hans-Joachim Lewerenz, California Institute of Technology, Pasadena, USA James Overduin, Towson University, Towson, USA Vesselin Petkov, Concordia University, Concordia, Canada Charles H.-T. Wang, University of Aberdeen, Aberdeen, UK Andrew Whitaker, Queen’s University Belfast, Belfast, UK

More information about this series at http://www.springer.com/series/8902

Arne Grenzebach

The Shadow of Black Holes An Analytic Description

123

Arne Grenzebach ZARM—Zentrum für angewandte Raumfahrttechnologie und Mikrogravitation Universität Bremen Bremen Germany

ISSN 2191-5423 SpringerBriefs in Physics ISBN 978-3-319-30065-8 DOI 10.1007/978-3-319-30066-5

ISSN 2191-5431

(electronic)

ISBN 978-3-319-30066-5

(eBook)

Library of Congress Control Number: 2016936995 © The Author(s) 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 This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG Switzerland

Phantasie ist wichtiger als Wissen, denn Wissen ist begrenzt. Albert Einstein

Preface

All the work presented here covers an analytic geometrical way to construct the shadow of black holes. The shape of the shadow varies in different space-times, i.e., it depends on specific properties of the black hole as, for example, the spin. My aim is to provide calculations as general as possible. This short book summarizes the scientific results of my doctoral project where I generalized the existing calculations for the shadow of a Kerr bla