Lecture Notes on the General Theory of Relativity: From Newton’s Attractive Gravity to the Repulsive Gravity of Vacuum Energy (Lecture Notes in Physics Book 772) 2009th Edition by Øyvind Grøn (PDF)

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These notes are a transcript of lectures delivered by Øyvind Grøn during the spring of 1997 at the University of Oslo. The present version of this document is an extended and corrected version of a set of Lecture Notes which were typesetted by S. Bard, Andreas O. Jaunsen, A Frode Hansen and Ragnvald J. Irgens using LT X2 . Svend E. Hjelmeland has made E many useful suggestions which have improved the text. I would also like to thank Jon Magne Leinaas and Sigbjørn Hervik for contributing with problems, and Gorm Krogh Johnsen for help with nishing the manuscript. I also want to thank prof. Finn Ravndal for inspiring lectures on general relativity. While we hope that these typeset notes are of bene t particularly to students of general relativity and look forward to their comments, we welcome all interested readers and accept all feedback with thanks. All comment may be sent to the author by e-mail.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Quite unfortunately, in this overall well written book the author makes some serious mistakes regarding the essence of the GR. For instance:1. On the page 10, the author states that in non-inertialframes the following postulates apply:”G1. The laws of nature are the same in all reference frames.””G2. An observer with arbitrary motion may consider himself to be at rest and the environment as moving.”The both statements, especially G2, are incorrect. An observerin an accelerated frame definitely can tell that he isin an accelerated frame, because, for instance, he will befeeling g-forces, the period of a pendulum will be changingfrom the magnitude of the acceleration, etc., quite differentfrom an inertial (non-accelerated) frame, where everythingwill be floating in weightlessness! The correct statement,describing the equivalence principle is:”An observer in an uniformly accelerated frame may considerhimself to be at rest in a frame with an uniform gravitationalfield. The laws of nature are the same in the both frames.”Since “uniform” gravitational fields do not exist in thenature (except as an approximation in a very small volume),Einstein came to the concept of space-time curvature expressingthe “real” gravitational field, etc.Because of this initial error, on the page 33 the author,when explaining the (in)famous “twin paradox” concludes”In order to arrive at a clear answer to these questions,we shall have to use the result from the general theoryof relativity.” This statement is absolutely false, as ithad been shown countless times before in various texts, aslong as the “real” gravitational field is not present(the Riemann tensor equal to 0), the twin paradox can beeasily resolved using only the special theory of relativity(see the book by Taylor and Wheeler)! This argument has alreadybeen discussed to death, so it’s quite bad to open it anewin this book 🙁

⭐The first reviewer is absolutely wrong. G1 and G2 are absolutely correct.The reviewer does not know that the laws of nature are writtenas tensor equations and so are independent of thecoordinate system used. The coordinate system can be in any kind of motion. The laws are the same. It’s terrible to claim, as the reviewer does, that the laws of nature are dependent on the typeof coordinate system used.The reviewer do you not understand the principle of equivalence since he wrongly says that G2 is wrong.The reviewer is also wrong regarding the twin paradox. The twinparadox is not a paradox in GR, only in SR. To fully explain(and calculate numerically, of course) the twin paradox weMUST use GR.This book is probably the best book to easily learn basic generalrelativity. It’s probably the best book for self-study of GR.Buy it. It’s fantastic! The small steps in the theory make youread and understand this text much, much faster than any otherGR book does. This is the only book you need. But of course there are certain minimum prerequisites when it comes to the reader’sknowledge of basic mathematics, such as calculus, linear algebra,etc.NKO

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Lecture Notes on the General Theory of Relativity: From Newton’s Attractive Gravity to the Repulsive Gravity of Vacuum Energy (Lecture Notes in Physics Book 772) 2009th Edition PDF Free Download
Download Lecture Notes on the General Theory of Relativity: From Newton’s Attractive Gravity to the Repulsive Gravity of Vacuum Energy (Lecture Notes in Physics Book 772) 2009th Edition PDF Free
Lecture Notes on the General Theory of Relativity: From Newton’s Attractive Gravity to the Repulsive Gravity of Vacuum Energy (Lecture Notes in Physics Book 772) 2009th Edition PDF Free Download
Download Lecture Notes on the General Theory of Relativity: From Newton’s Attractive Gravity to the Repulsive Gravity of Vacuum Energy (Lecture Notes in Physics Book 772) 2009th Edition PDF
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