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Physics And Mathematics Of Gravitation
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Book Synopsis Spacetime, Geometry and Gravitation by : Pankaj Sharan
Download or read book Spacetime, Geometry and Gravitation written by Pankaj Sharan and published by Springer Science & Business Media. This book was released on 2009-11-18 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Newton's Gravity by : Douglas W. MacDougal
Download or read book Newton's Gravity written by Douglas W. MacDougal and published by Springer Science & Business Media. This book was released on 2012-12-16 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Newton’s Gravity” conveys the power of simple mathematics to tell the fundamental truth about nature. Many people, for example, know the tides are caused by the pull of the Moon and to a lesser extent the Sun. But very few can explain exactly how and why that happens. Fewer still can calculate the actual pulls of the Moon and Sun on the oceans. This book shows in clear detail how to do this with simple tools. It uniquely crosses disciplines – history, astronomy, physics and mathematics – and takes pains to explain things frequently passed over or taken for granted in other books. Using a problem-based approach, “Newton’s Gravity” explores the surprisingly basic mathematics behind gravity, the most fundamental force that governs the movements of satellites, planets, and the stars. Author Douglas W. MacDougal uses actual problems from the history of astronomy, as well as original examples, to deepen understanding of how discoveries were made and what they mean. “Newton’s Gravity” concentrates strongly on the development of the science of orbital motion, beginning with Galileo, Kepler, and Newton, each of whom is prominently represented. Quotes and problems from Galileo’s Dialogs Concerning Two New Sciences and particularly Newton’s Principia help the reader get inside the mind of those thinkers and see the problems as they saw them, and experience their concise and typically eloquent writing. This book enables students and curious minds to explore the mysteries of celestial motion without having to know advanced mathematics. It will whet the reader’s curiosity to explore further and provide him or her the tools (mathematical or physical) to do so.
Book Synopsis Theory and Experiment in Gravitational Physics by : Clifford M. Will
Download or read book Theory and Experiment in Gravitational Physics written by Clifford M. Will and published by Cambridge University Press. This book was released on 2018-09-27 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive review of the testing and research conducted on Einstein's theory of general relativity.
Book Synopsis Spacetime, Geometry and Gravitation by : Pankaj Sharan
Download or read book Spacetime, Geometry and Gravitation written by Pankaj Sharan and published by Springer Science & Business Media. This book was released on 2009-09-18 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory textbook on the general theory of relativity presents a solid foundation for those who want to learn about relativity. The subject is presented in a physically intuitive, but mathematically rigorous style. The topic of relativity is covered in a broad and deep manner. Besides, the aim is that after reading the book a student should not feel discouraged when she opens advanced texts on general relativity for further reading. The book consists of three parts: An introduction to the general theory of relativity. Geometrical mathematical background material. Topics that include the action principle, weak gravitational fields and gravitational waves, Schwarzschild and Kerr solution, and the Friedman equation in cosmology. The book is suitable for advanced graduates and graduates, but also for established researchers wishing to be educated about the field.
Download or read book Gravitation written by Charles W. Misner and published by Princeton University Press. This book was released on 2017-10-24 with total page 1332 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Gravitational N-Body Simulations by : Sverre J. Aarseth
Download or read book Gravitational N-Body Simulations written by Sverre J. Aarseth and published by Cambridge University Press. This book was released on 2003-10-23 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses in detail all the relevant numerical methods for the classical N-body problem. It demonstrates how to develop clear and elegant algorithms for models of gravitational systems, and explains the fundamental mathematical tools needed to describe the dynamics of a large number of mutually attractive particles. Particular attention is given to the techniques needed to model astrophysical phenomena such as close encounters and the dynamics of black hole binaries. The author reviews relevant work in the field and covers applications to the problems of planetary formation and star cluster dynamics, both of Pleiades type and globular clusters. Self-contained and pedagogical, this book is suitable for graduate students and researchers in theoretical physics, astronomy and cosmology.
Book Synopsis Quantum Field Theory and Gravity by : Felix Finster
Download or read book Quantum Field Theory and Gravity written by Felix Finster and published by Springer Science & Business Media. This book was released on 2012-02-08 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most challenging problems of contemporary theoretical physics is the mathematically rigorous construction of a theory which describes gravitation and the other fundamental physical interactions within a common framework. The physical ideas which grew from attempts to develop such a theory require highly advanced mathematical methods and radically new physical concepts. This book presents different approaches to a rigorous unified description of quantum fields and gravity. It contains a carefully selected cross-section of lively discussions which took place in autumn 2010 at the fifth conference "Quantum field theory and gravity - Conceptual and mathematical advances in the search for a unified framework" in Regensburg, Germany. In the tradition of the other proceedings covering this series of conferences, a special feature of this book is the exposition of a wide variety of approaches, with the intention to facilitate a comparison. The book is mainly addressed to mathematicians and physicists who are interested in fundamental questions of mathematical physics. It allows the reader to obtain a broad and up-to-date overview of a fascinating active research area.
Book Synopsis General Relativity and Gravitation by : Petros Florides
Download or read book General Relativity and Gravitation written by Petros Florides and published by World Scientific. This book was released on 2005-11-07 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: ' This authoritative volume provides a snapshot of the state of the art in gravitational physics and related mathematical fields, as well as a review of recent achievements and prospects for future work. With contributing authors among the world leaders in their respective fields, this proceedings volume is a worthy addition to this conference series, which constitutes one of the most important international meetings in the areas general relativity and gravitation. Contents:Towards Detection of Gravitation Waves (B C Barish)Black Holes and The Information Paradox (S Hawking)Probing General Relativity on the Scales of Cosmology (P J E Peebles)Cosmic Superstrings Revisited (J Polchinski)Black Holes in Active Galactic Nuclei (M Rees)Complex Methods, Twistors, and Connection Variables (J Lewandowski)Early Universe (M Sasaki)Dark Energy and The Cosmological Constant (V Sahni)Gravitational Wave Sources: Source Science and Statistical Methods (A Buonanno)Detector Performance, Operation, and Commissioning (E Coccia)Laboratory and Observational Tests of Gravitational Theories (J H Gundlach)Quantum Field Theory on Curved Spacetime (K Fredenhagen)and other papers Readership: Researchers and academics in astrophysics, astronomy, cosmology, quantum physics, theoretical physics and mathematical physics. Keywords:Gravitation;General Relativity;Cosmology;Quantum Gravity;Numerical Relativity;Astrophysics;String TheoryKey Features:Includes the latest developments in all areas of gravitational physicsContributions by world-leading researchers in the fieldContinues the high standard of the general relativity conference proceedings seriesReviews: “… this volume provides a nice summary of a considerable portion of general relativity just after the turn of the century … It contains some thought-provoking articles as well as some useful, thoughtful reviews.” General Relativity and Gravitation '
Book Synopsis Gravitational Force of the Sun by : Pari Spolter
Download or read book Gravitational Force of the Sun written by Pari Spolter and published by Orb Books. This book was released on 2014-12-01 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis General Relativity and Gravitation by : Abhay Ashtekar
Download or read book General Relativity and Gravitation written by Abhay Ashtekar and published by Cambridge University Press. This book was released on 2015-06 with total page 697 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explore spectacular advances in contemporary physics with this unique celebration of the centennial of Einstein's discovery of general relativity.
Book Synopsis Gravitation and Experiment by : Thibault Damour
Download or read book Gravitation and Experiment written by Thibault Damour and published by Springer Science & Business Media. This book was released on 2007-10-12 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a detailed, pedagogical introduction to general relativity. It includes a review of what may lie beyond and collects up-to-date essays on the experimental tests of this theory, including the precise timing of the double pulsar J0737-3039. Coverage also details the recent results of the Gravity Probe B mission.
Book Synopsis Gravity, Black Holes, and the Very Early Universe by : Tai L. Chow
Download or read book Gravity, Black Holes, and the Very Early Universe written by Tai L. Chow and published by Springer Science & Business Media. This book was released on 2007-10-24 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here it is, in a nutshell: the history of one genius’s most crucial work – discoveries that were to change the face of modern physics. In the early 1900s, Albert Einstein formulated two theories that would forever change the landscape of physics: the Special Theory of Relativity and the General Theory of Relativity. Respected American academic Professor Tai Chow tells us the story of these discoveries. He details the basic ideas of Einstein, including his law of gravitation. Deftly employing his inimitable writing style, he goes on to explain the physics behind black holes, weaving into his account an explanation of the structure of the universe and the science of cosmology.
Book Synopsis Introduction to Einstein’s Theory of Relativity by : Øyvind Grøn
Download or read book Introduction to Einstein’s Theory of Relativity written by Øyvind Grøn and published by Springer Nature. This book was released on 2020-05-27 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: The revised and updated 2nd edition of this established textbook provides a self-contained introduction to the general theory of relativity, describing not only the physical principles and applications of the theory, but also the mathematics needed, in particular the calculus of differential forms. Updated throughout, the book contains more detailed explanations and extended discussions of several conceptual points, and strengthened mathematical deductions where required. It includes examples of work conducted in the ten years since the first edition of the book was published, for example the pedagogically helpful concept of a "river of space" and a more detailed discussion of how far the principle of relativity is contained in the general theory of relativity. Also presented is a discussion of the concept of the 'gravitational field' in Einstein's theory, and some new material concerning the 'twin paradox' in the theory of relativity. Finally, the book contains a new section about gravitational waves, exploring the dramatic progress in this field following the LIGO observations. Based on a long-established masters course, the book serves advanced undergraduate and graduate level students, and also provides a useful reference for researchers.
Book Synopsis Gravity and Gravitation by : Kurtus Ron
Download or read book Gravity and Gravitation written by Kurtus Ron and published by Ron Kurtus. This book was released on 2011-07 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis A Mathematical Introduction To General Relativity by : Amol Sasane
Download or read book A Mathematical Introduction To General Relativity written by Amol Sasane and published by World Scientific. This book was released on 2021-08-10 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book aims to give a mathematical presentation of the theory of general relativity (that is, spacetime-geometry-based gravitation theory) to advanced undergraduate mathematics students. Mathematicians will find spacetime physics presented in the definition-theorem-proof format familiar to them. The given precise mathematical definitions of physical notions help avoiding pitfalls, especially in the context of spacetime physics describing phenomena that are counter-intuitive to everyday experiences.In the first part, the differential geometry of smooth manifolds, which is needed to present the spacetime-based gravitation theory, is developed from scratch. Here, many of the illustrating examples are the Lorentzian manifolds which later serve as spacetime models. This has the twofold purpose of making the physics forthcoming in the second part relatable, and the mathematics learnt in the first part less dry. The book uses the modern coordinate-free language of semi-Riemannian geometry. Nevertheless, to familiarise the reader with the useful tool of coordinates for computations, and to bridge the gap with the physics literature, the link to coordinates is made through exercises, and via frequent remarks on how the two languages are related.In the second part, the focus is on physics, covering essential material of the 20th century spacetime-based view of gravity: energy-momentum tensor field of matter, field equation, spacetime examples, Newtonian approximation, geodesics, tests of the theory, black holes, and cosmological models of the universe.Prior knowledge of differential geometry or physics is not assumed. The book is intended for self-study, and the solutions to the (over 200) exercises are included.
Book Synopsis Spacetime and Gravitation by : Wojciech Kopczynski
Download or read book Spacetime and Gravitation written by Wojciech Kopczynski and published by . This book was released on 1992-01-30 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ideas about space and time are at the root of one's understanding of nature, both at the intuitive level of everyday experience and in the framework of sophisticated physical theories. These ideas have led to the development of geometry and its applications to physics. The contemporary physical theory of space and time, including its extention to the phenomena of gravitation, is Einstein's theory of relativity. Spacetime and Gravitation is a short introduction to this theory. It is addressed to a fairly wide readership: parts of it can be read by university students of mathematics, physics and engineering. A great deal of emphasis is given to the geometrical aspects of relativity theory and its comparison with the Newtonian view of the world. There are short chapters on the origins of Einstein's theory, gravitational waves, cosmology, spinors and the Einstein-Cartan theory.
Download or read book Gravitation written by Charles W. Misner and published by Macmillan. This book was released on 1973-09-15 with total page 1324 pages. Available in PDF, EPUB and Kindle. Book excerpt: An in-depth study of Einstein's theory of gravity using modern formalism and notation of differential geometry, and documenting the revolutionary techniques developed to test the theory of general relativity.
