Physics And Mathematics Of Gravitation
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Author | : Clifford M. Will |
Publisher | : Cambridge University Press |
Total Pages | : 363 |
Release | : 2018-09-27 |
Genre | : Science |
ISBN | : 1107117445 |
A comprehensive review of the testing and research conducted on Einstein's theory of general relativity.
Author | : Pankaj Sharan |
Publisher | : Springer Science & Business Media |
Total Pages | : 357 |
Release | : 2009-11-18 |
Genre | : Science |
ISBN | : 3764399716 |
This is an introductory book on the general theory of relativity based partly on lectures given to students of M.Sc. Physics at my university. The book is divided into three parts. The ?rst part is a preliminary course on general relativity with minimum preparation. The second part builds the ma- ematical background and the third part deals with topics where mathematics developed in the second part is needed. The ?rst chapter gives a general background and introduction. This is f- lowed by an introduction to curvature through Gauss’ Theorema Egregium. This theorem expresses the curvature of a two-dimensional surface in terms of intrinsic quantitiesrelatedtothein?nitesimaldistancefunctiononthesurface.Thestudent isintroducedtothemetrictensor,Christo?elsymbolsandRiemanncurvaturet- sor by elementary methods in the familiar and visualizable case of two dimensions. This early introduction to geometric quantities equips a student to learn simpler topics in general relativity like the Newtonian limit, red shift, the Schwarzschild solution, precession of the perihelion and bending of light in a gravitational ?eld. Part II (chapters 5 to 10) is an introduction to Riemannian geometry as - quired by general relativity. This is done from the beginning, starting with vectors and tensors. I believe that students of physics grasp physical concepts better if they are not shaky about the mathematics involved.
Author | : Charles W. Misner |
Publisher | : Princeton University Press |
Total Pages | : 1332 |
Release | : 2017-10-24 |
Genre | : Science |
ISBN | : 0691177791 |
Spacetime physics -- Physics in flat spacetime -- The mathematics of curved spacetime -- Einstein's geometric theory of gravity -- Relativistic stars -- The universe -- Gravitational collapse and black holes -- Gravitational waves -- Experimental tests of general relativity -- Frontiers
Author | : Kurtus Ron |
Publisher | : Ron Kurtus |
Total Pages | : 492 |
Release | : 2011-07 |
Genre | : Education |
ISBN | : 0976798166 |
Gravity and Gravitation is a physics book that is written in a form that is easy to understand for high school and beginning college students, as well as science buffs. It is based on the lessons from the School for Champions educational website.The book explains the principles of gravity and gravitation, shows derivations of important gravity equations, and provides applications of those equations. It also compares the different theories of gravitation, from those of Newton to Einstein to present-day concepts.
Author | : David B. Malament |
Publisher | : University of Chicago Press |
Total Pages | : 363 |
Release | : 2012-04-02 |
Genre | : Science |
ISBN | : 0226502473 |
In Topics in the Foundations of General Relativity and Newtonian Gravitation Theory, David B. Malament presents the basic logical-mathematical structure of general relativity and considers a number of special topics concerning the foundations of general relativity and its relation to Newtonian gravitation theory. These special topics include the geometrized formulation of Newtonian theory (also known as Newton-Cartan theory), the concept of rotation in general relativity, and Gödel spacetime. One of the highlights of the book is a no-go theorem that can be understood to show that there is no criterion of orbital rotation in general relativity that fully answers to our classical intuitions. Topics is intended for both students and researchers in mathematical physics and philosophy of science.
Author | : Pari Spolter |
Publisher | : Orb Books |
Total Pages | : 272 |
Release | : 2014-12-01 |
Genre | : Antiques & Collectibles |
ISBN | : 9780963810717 |
The correct interpretation of Kepler's third law is Gravitational force is equal to acceleration times the area: F = a .A. It is shown that the sequential mean distances of the planets from the center of the sun follow an exponential law, concluding that gravitation is quantized. New explanation and equation for eccentricity are presented. English translation of Foucault's papers on the pendulum and on the gyroscope
Author | : R.K. Sachs |
Publisher | : Springer Science & Business Media |
Total Pages | : 302 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461299039 |
This is a book about physics, written for mathematicians. The readers we have in mind can be roughly described as those who: I. are mathematics graduate students with some knowledge of global differential geometry 2. have had the equivalent of freshman physics, and find popular accounts of astrophysics and cosmology interesting 3. appreciate mathematical elarity, but are willing to accept physical motiva tions for the mathematics in place of mathematical ones 4. are willing to spend time and effort mastering certain technical details, such as those in Section 1. 1. Each book disappoints so me readers. This one will disappoint: 1. physicists who want to use this book as a first course on differential geometry 2. mathematicians who think Lorentzian manifolds are wholly similar to Riemannian ones, or that, given a sufficiently good mathematical back ground, the essentials of a subject !ike cosmology can be learned without so me hard work on boring detaiis 3. those who believe vague philosophical arguments have more than historical and heuristic significance, that general relativity should somehow be "proved," or that axiomatization of this subject is useful 4. those who want an encyclopedic treatment (the books by Hawking-Ellis [1], Penrose [1], Weinberg [1], and Misner-Thorne-Wheeler [I] go further into the subject than we do; see also the survey article, Sachs-Wu [1]). 5. mathematicians who want to learn quantum physics or unified fieId theory (unfortunateIy, quantum physics texts all seem either to be for physicists, or merely concerned with formaI mathematics).
Author | : Theodore Frankel |
Publisher | : Courier Corporation |
Total Pages | : 194 |
Release | : 2013-04-10 |
Genre | : Science |
ISBN | : 048628915X |
This classic text and reference monograph applies modern differential geometry to general relativity. A brief mathematical introduction to gravitational curvature, it emphasizes the subject's geometric essence and stresses the global aspects of cosmology. Suitable for independent study as well as for courses in differential geometry, relativity, and cosmology. 1979 edition.
Author | : Steven Carlip |
Publisher | : Cambridge University Press |
Total Pages | : 296 |
Release | : 2003-12-04 |
Genre | : Science |
ISBN | : 9780521545884 |
The first comprehensive survey of (2+1)-dimensional quantum gravity - for graduate students and researchers.
Author | : Hans C. Ohanian |
Publisher | : Cambridge University Press |
Total Pages | : 545 |
Release | : 2013-04-08 |
Genre | : Science |
ISBN | : 1107012945 |
This text provides a quantitative introduction to general relativity for advanced undergraduate and graduate students.