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Track 1 emphasizes the core physical ideas while using only vector analysis and simple partial-differential equations, suited for a junior/senior or graduate course. Track 2 extends and completes the material, with dependency statements that clarify which earlier Track 1 topics are required. The text also provides detailed sign conventions, including reference tables comparing spacelike and timelike conventions across authors.",{"@graph":69,"@context":123},[70,84,106],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":40,"@type":76,"position":81},"https://docshare.wps.com/document/research-report/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/gravitation-sign-conventions-and-tracks-1-2/292604/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/gravitation-sign-conventions-and-tracks-1-2/292604.png","ImageObject",300,407,{"name":92,"@type":93},"Tawan","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-09-17",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",17,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What are Track 1 and Track 2 in this book?","Question",{"text":113,"@type":114},"Track 1 focuses on the key physical ideas with a limited mathematical prerequisite, while Track 2 builds further from Track 1 using additional material and optional enrichment selections.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What mathematical background does Track 1 assume?",{"text":118,"@type":114},"Track 1 assumes vector analysis and simple partial-differential equations as the mathematical prerequisite.",{"name":120,"@type":111,"acceptedAnswer":121},"How does the book indicate which Track 2 chapters require prior knowledge?",{"text":122,"@type":114},"Exceptions and dependencies are made explicit in “dependency statements” at the beginning of each Track 2 chapter, or at transitions from Track 1 to Track 2 within a chapter.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},292604,1789653136,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":39,"category_name":40,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":140,"language":141,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":142,"faqs":143,"seo_title":144,"seo_description":67,"update_tm":130,"read_time":145,"preview_page_count":4},2336475104042,"https://ap-avatar.wpscdn.com/avatar/22000c4c32af1715be0?x-image-process=image/resize,m_fixed,w_180,h_180&k=1786537525561427321","# GRAVITATION\n\nCharles W.MISNER Kip S.THORNE John Archibald WHEELER  \nCharles W.MISNER  \nKip S.THORNEJohn Archibald WHEELER  \nUNIVERSITY OF MARYLANDCALIFORNIA INSTITUTE OF TECHNOLOGYPRINCETON UNVERSITY  \nLibrary of Congress Cataloging in Publication Data  \nMisner.Charles W.1932-Gravitation.Bibliography:p.  \n1.Gravitation.2.Astrophysics.3.General  \nrelativity(Physics)I.Thorne,Kip S.,1940-  joint author.  \nII.Wheeler,John Archibald,1911-  joint author.  \nIII.Title.QC178.M57531'.1478-156043ISBN 0-7167-0334-3ISBN 0-7167-0344-0(pbk)  \nCopyright C1970 and 1971 by Charles W.Misner,Kip S.Thorne,and John Archibald Wheeler.  \nCopyright ◎1973 by W.H.Freeman and Company.  \nNo part of this book may be reproduced  \nby any mechanical,photographic,or electronic process,or in the form of a phonographic recording,nor may it be stored in a retrieval system,transmitted,or otherwise copied for public or private usewithout the written permission of the publisher.  \nPrinted in the United States of America  \nSIGN CONVENTIONS  \nThis book follows the “Landau-Lifshitz Spacelike Convention”(LLSC).Arrowsbelow mark signs that are“+”in it.The facing table shows signs that other authorsuse.  \n(col.2)  \n(col.3)  \nquotand Riemann signs  \nEinstein sign  \n(col.4)  \nToo=T(e,eo),>0  \nall authors agree----on this \"positiveenergy density\"sign  \nThe above sign choice for Riemann is convenient for coordinate-free methods,asin the curvature operator :贝(u,v)above,in the curvature 2-forms(equation 14.19),and for matrix computations(exercise 14.9).The definitions of Ricci and Einsteinwith the signs adopted above are those that make their eigenvalues(and R三R“μ)positive for standard spheres with positive definite metrics.  \n\n| TABLE OF SIGN CONVENTIONS   |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- |\n| Reference   | 59  \u003Cbr>9   | /   | Einstein   | Spacetime  \u003Cbr>four-dimensional  \u003Cbr>indices   |  |\n| Landau,Lifshitz(1962)\"spacelike convention\"  \u003Cbr>Landau,Lifshitz(1971)\"timelike convention\"   | +   | 十  \u003Cbr>+   | +   | latin  \u003Cbr>latin   |  |\n|  |  |  |  |  |  |\n| Misner,Thorne.Wheeler(1973:this text)   | +   | +   | 十   | greek   |  |\n| Adler,Bazin,Schiffer(1965)  \u003Cbr>greek  \u003Cbr>一  \u003Cbr>一   |  |  |  |  |  |\n| Anderson(1967)   |  |  | _b   | greek   |  |\n| Bergmann(1942)   | 一   | _a   | 一   | greek   |  |\n| Cartan(1946)   |  | 一   |  |  |  |\n| Davis(1970)   |  | +   |  | latin   |  |\n| Eddington(1922)   |  | +   |  | greek   |  |\n| Ehlers(1971)   | +   | +   |  | latin   |  |\n| Einstein(1950)   | 一   | 十   |  | greek   |  |\n| Eisenhart(1926)   |  |  |  |  |  |\n| Fock(1959)   | 一   | _a   |  | greek   |  |\n| Fokker(1965)   | 一   | _   |  | latin   |  |\n| Hawking and Ellis(1973)   | +   | +   |  | latin   |  |\n| Hicks(1965)   |     |  |  |  |  |\n| In feld,Plebanski(1960)   |  | 十   |  | greek   |  |\n| Lichnerowicz(1955)   | _   |  |  | greek   |  |\n| McVittie(1956)   | 一   | 十   |  | greek   |  |\n| Misner(1969a)   | +   | 十   | 十   | greek   |  |\n| Moller(1952)   | +   | 一   |  | latin   |  |\n| Pauli(1958)   | +   | 一   |  | latin   |  |\n| Penrose(1968)   | 一   | 一   | 一   | latin   |  |\n| Pirani(1965)   | 一   | 一   | _   | latin   |  |\n| Robertson,Noonan(1968)   | +   | +   | _   | latin   |  |\n| Sachs(1964)   | ±   | +   | +   | latin   |  |\n| Schild(1967)   | 二   | +   | 一   | latin   |  |\n| Schouten(1954)   |  | 一   | +   |  |  |\n| Schroedinger(1950)   | 一   | +   |  | latin   |  |\n| Synge(1960b)   | +   | +   |  | latin   |  |\n| Thorne(1967)   | -   | +   |  | greek   |  |\n| Tolman(1934a)   | _   | +   |  | greek   |  |\n| Trautman(1965)   | _   |  |  | latin   |  |\n| Weber(1961)   | +   | +   | +   | greek   |  |\n| Weinberg(1972)   |  | 一   |  | greek   |  |\n| Weyl(1922)   | -   | +   | 十   | latin   |  |\n| Wheeler(1964a)   | +   | +   | +   | greek   |  |\n| Unusual index positioning on Riemann components gives a different sign for R   |  |  |  |  |  |\n\nNote:his k\u003C0 is the negative of the gravitational constant.  \nWe dedicate this bookTo our fellow citizensWho,f","cbCaieUKLhUOgQO1","https://ap.wps.com/l/cbCaieUKLhUOgQO1","pdf",52654924,1305,"English","# Sign Conventions\n## Landau-Lifshitz spacelike vs timelike conventions\n## Reference table of symbols across authors\n# Learning Structure: Two Tracks\n## Track 1: physical ideas with minimal math\n## Track 2: enrichment and dependencies\n## Course pacing and graduate-level design","[{\"question\":\"What are Track 1 and Track 2 in this book?\",\"answer\":\"Track 1 focuses on the key physical ideas with a limited mathematical prerequisite, while Track 2 builds further from Track 1 using additional material and optional enrichment selections.\"},{\"question\":\"What mathematical background does Track 1 assume?\",\"answer\":\"Track 1 assumes vector analysis and simple partial-differential equations as the mathematical prerequisite.\"},{\"question\":\"How does the book indicate which Track 2 chapters require prior knowledge?\",\"answer\":\"Exceptions and dependencies are made explicit in “dependency statements” at the beginning of each Track 2 chapter, or at transitions from Track 1 to Track 2 within a chapter.\"}]","GRAVITATION - Sign Conventions and Tracks 1-2 | PDF",3289]