The Encyclopedia of Cosmology Volume 1 Galaxy Formation and Evolution 9496hc_V1_9789814656221_tp.indd 1 1/2/18 9:11 AM World Scientific Series in Astrophysics ISSN: 2529-7511 Series Editor: Amiel Sternberg (Tel Aviv University, Israel) The field of observational and theoretical Astrophysics today spans an astonishing array of subjects, including extrasolar planets, star formation, interstellar and intergalactic me- dium, galaxy evolution, neutron stars and black holes, high energy phenomena, cosmology, and early Universe studies. Astrophysics is intrinsically interdisciplinary, bringing together knowledge in physics, chemistry, biology, computer science, mathematics, engineering and instrumentation technology, all for the goal of exploring and understanding the Universe at large. With the high-resolution and sensitive observations now possible with advanced telescopes on the ground and in space operating across the entire electromagnetic spectrum we are now in a golden era of discovery. There is tremendous interest in the results of world-wide research in Astrophysics across many domains, among scientists, engineers, and of course the general public. Published The Encyclopedia of Cosmology (In 4 Volumes) edited by Giovanni G Fazio (Harvard Smithsonian Center for Astrophysics, USA) Star Formation by Mark R Krumholz (Australian National University, Australia) KahFee - 9496 - The Encyclopedia of Cosmology.indd 1 24-01-18 3:55:15 PM World Scientific Series in Astr physics The Encyclopedia of Cosmology Volume 1 Galaxy Formation and Evolution Rennan Barkana Tel Aviv University Editor Giovanni G Fazio Harvard Smithsonian Center for Astrophysics, USA World Scientific NEW JERSEY • LONDON • SINGAPORE • BEIJING • SHANGHAI • HONG KONG • TAIPEI • CHENNAI 9496hc_V1_9789814656221_tp.indd 2 1/2/18 9:11 AM Published by World Scientific Publishing Co. Pte. Ltd. 5 Toh Tuck Link, Singapore 596224 USA office: 27 Warren Street, Suite 401-402, Hackensack, NJ 07601 UK office: 57 Shelton Street, Covent Garden, London WC2H 9HE Library of Congress Cataloging-in-Publication Data Names: Fazio, Giovanni G., 1933– editor. Title: The encyclopedia of cosmology / editor, Giovanni G. Fazio (Harvard Smithsonian Center for Astrophysics, USA). Description: Singapore ; Hackensack, NJ : World Scientific, [2018] | Series: World Scientific series in astrophysics | Includes bibliographical references and index. Contents: volume 1: Galaxy formation and evolution / by Rennan Barkana (Tel Aviv University) -- volume 2: Numerical simulations in cosmology / edited by Kentaro Nagamine (Osaka University / University of Nevada) -- volume 3: Dark energy / by Shinji Tsujikawa (Tokyo University of Science) -- volume 4: Dark matter / by Jihn Kim (Seoul National University). Identifiers: LCCN 2017033919| ISBN 9789814656191 (set ; alk. paper) | ISBN 9814656194 (set ; alk. paper) | ISBN 9789814656221 (v.1 ; alk. paper) | ISBN 9814656224 (v.1 ; alk. paper) | ISBN 9789814656238 (v.2 ; alk. paper) | ISBN 9814656232 (v.2 ; alk. paper) | ISBN 9789814656245 (v.3 ; alk. paper) | ISBN 9814656240 (v.3 ; alk. paper) | ISBN 9789814656252 (v.4 ; alk. paper) | ISBN 9814656259 (v.4 ; alk. paper) Subjects: LCSH: Cosmology--Encyclopedias. Classification: LCC QB980.5 .E43 2018 | DDC 523.103--dc23 LC record available at https://lccn.loc.gov/2017033919 British Library Cataloguing-in-Publication Data A catalogue record for this book is available from the British Library. Cover image credit: Vol. 1 - (front) NASA/JPL-Caltech, (back) NASA, ESA, S. Beckwith (STScI) and the HUDF Team; Vol. 2 - Illustris Collaboration; Vol. 3 - NASA, ESA, R. O'Connell (University of Virginia), F. Paresce (National Institute for Astrophysics, Bologna, Italy), E. Young (Universities Space Research Association/Ames Research Center), the WFC3 Science Oversight Committee, and the Hubble Heritage Team (STScI/AURA); Vol. 4 - NASA, ESA, E. Jullo (JPL/LAM), P. Natarajan (Yale) and J-P. Kneib (LAM). Copyright © 2018 by World Scientific Publishing Co. Pte. Ltd. All rights reserved. This book, or parts thereof, may not be reproduced in any form or by any means, electronic or mechanical, including photocopying, recording or any information storage and retrieval system now known or to be invented, without written permission from the publisher. For photocopying of material in this volume, please pay a copying fee through the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923, USA. In this case permission to photocopy is not required from the publisher. Desk Editor: Ng Kah Fee Typeset by Stallion Press Email: [email protected] Printed in Singapore KahFee - 9496 - The Encyclopedia of Cosmology.indd 2 24-01-18 3:55:15 PM January31,2018 15:49 TheEncyclopediaofCosmology:GalaxyFormation... 9.61inx6.69in b3068-v1-fm pagev Winston Churchill said: “My most brilliant achievement was to persuade my wife to marry me”. This volume is dedicated to my family — Riki, Or, Ariel, and my parents, who have been my companions on my career journey. It is also dedicated to Richard Feynman, whose writings first ignited my interest in physics. Feynman knew how to eloquently express the beauty of science1: “Poets say science takes away from the beauty of the stars — mere globs of gas atoms. I too can see the stars on a desert night, and feel them. But do I see less or more? The vastness of the heavens stretches my imagination — stuck on this carousel my little eye can catch one- million-year-old light. A vast pattern — of which I am a part...What is the pattern, or the meaning, or the why? It does not do harm to the mystery to know a little about it. For far more marvelous is the truth than any artists of the past imagined it. Why do the poets of the present not speak of it? What men are poets who can speak of Jupiter if he were a man, but if he is an immense spinning sphere of methane and ammonia must be silent?” Feynman also wrote about the excitement of science2: “We are very lucky to live in an age in which we are still making dis- coveries. It is like the discovery of America — you only discover it once”. When he wrote this in 1965, Feynman was referring to the then golden age of particle physics. I believe that today we are living in a golden age of cosmology, particularly on the topics in Part II of this volume. May the reader experience the joy of discovery! 1R.Feynman,TheCharacter ofPhysicalLaw(1965). ModernLibrary.ISBN0-679-60127-9. 2M.Sands,R.Feynman,R.B.Leighton,TheFeynmanLecturesonPhysics(1964).AddisonWesley. v TTTThhhhiiiissss ppppaaaaggggeeee iiiinnnntttteeeennnnttttiiiioooonnnnaaaallllllllyyyy lllleeeefffftttt bbbbllllaaaannnnkkkk January31,2018 15:49 TheEncyclopediaofCosmology:GalaxyFormation... 9.61inx6.69in b3068-v1-fm pagevii Preface This volume lays out the subjects of galaxy formation and evolution based on the current paradigm in cosmology. Part I presents the theoretical understanding and modeling of galaxy formation, including a brief treatment of galactic structure. While not intended to be completely comprehensive, it is meant to cover back- ground knowledge that is important for graduate students and researchers work- ing in cosmology or galaxy formation, and is written mostly in textbook style. It assumes pre-knowledgeof cosmology(which is only briefly reviewed), and thus can be used as a source of advanced topics in a cosmology course, or as the basis for a follow-upcourseinadvancedcosmology.Theapproachisastrophysical,focusingon galaxyformationandmakingonlylimiteduseofgeneralrelativitywherenecessary. When working through some of the more complicated sections, the reader may find encouragement in two famous quotes by Einstein: “Things should be made as simple as possible, but not any simpler”;and, “Inthe middle ofevery difficulty lies opportunity.” Part II builds on Part I by presenting the exciting subject of high- redshift galaxy formation, including topics such as cosmic dawn, the first stars, cosmicreionization,and21-cmcosmology.Combiningareviewofprogressonthese topicswithsomedetailedphysics,itismeanttobringactiveresearchersuptospeed on recent work on galaxy formation at early times. R. Barkana vii TTTThhhhiiiissss ppppaaaaggggeeee iiiinnnntttteeeennnnttttiiiioooonnnnaaaallllllllyyyy lllleeeefffftttt bbbbllllaaaannnnkkkk February7,2018 11:26 TheEncyclopediaofCosmology:GalaxyFormation... 9.61inx6.69in b3068-v1-fm pageix Contents Preface vii Part I: Basic Theory of Galaxy Formation 1 1. Introduction 3 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2. Review of Cosmology 7 2.1 The Friedmann–Robertson–Walker (FRW) metric . . . . . . . . . 7 2.1.1 The metric . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.1.2 Using the FRW metric . . . . . . . . . . . . . . . . . . . . 8 2.2 Cosmic expansion: dynamics . . . . . . . . . . . . . . . . . . . . . 9 2.2.1 Hubble’s law . . . . . . . . . . . . . . . . . . . . . . . . . . 9 2.2.2 Redshift of light . . . . . . . . . . . . . . . . . . . . . . . . 9 2.2.3 Luminosity distance . . . . . . . . . . . . . . . . . . . . . . 10 2.3 Cosmic expansion: kinematics . . . . . . . . . . . . . . . . . . . . 11 2.3.1 Friedmann equation . . . . . . . . . . . . . . . . . . . . . . 11 2.3.2 Distribution functions and pressure . . . . . . . . . . . . . 12 2.3.3 Equation of state . . . . . . . . . . . . . . . . . . . . . . . 13 2.3.4 Einstein–de Sitter (EdS) limit . . . . . . . . . . . . . . . . 16 2.4 Redshifting of peculiar velocity. . . . . . . . . . . . . . . . . . . . 16 2.5 Temperature evolution of gas and radiation. . . . . . . . . . . . . 18 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 3. Statistics of Galaxy Formation 21 3.1 Random fields and correlationfunctions . . . . . . . . . . . . . . . 21 3.1.1 Continuous and discrete fields . . . . . . . . . . . . . . . . 21 ix