Post Newtonian Hydrodynamics
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Post Newtonian Hydrodynamics
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Author : Gilberto Medeiros Kremer
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2022-03
Post Newtonian Hydrodynamics written by Gilberto Medeiros Kremer and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03 with categories.
Post Newtonian Hydrodynamics
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Author : Gilberto Medeiros Kremer
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2022-01-18
Post Newtonian Hydrodynamics written by Gilberto Medeiros Kremer and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-18 with Science categories.
This book introduces and develops post-Newtonian kinetic and phenomenological theories in a self-contained manner. The starting point for phenomenological theory is Einstein’s field equations from which the first and second post-Newtonian approximations are derived. Within phenomenological theory, Eulerian hydrodynamic equations are obtained and the conservation laws are derived. The kinetic counterpart of the theory is developed within the framework of Boltzmann equation, where the post-Newtonian equilibrium distribution function and the hydrodynamic equations are determined. Some astrophysical applications of post-Newtonian hydrodynamic equations, such as stellar structure models for stars, the spherically symmetrical accretion of a gas into a massive object, the Jeans instability (which is responsible for the collapse of interstellar gas clouds), and the galaxy rotation curves, are presented and the importance of post-Newtonian corrections is discussed. This book will be helpful not only as a text for advanced courses, but also as a reference for physicists, astrophysicists, and applied mathematicians who are interested in the phenomenological and kinetic post-Newtonian theory and its applications.
Relativistic Hydrodynamics
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Author : Luciano Rezzolla
language : en
Publisher: Oxford University Press, USA
Release Date : 2013-09-26
Relativistic Hydrodynamics written by Luciano Rezzolla and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-26 with Mathematics categories.
This book provides an up-to-date, lively and approachable introduction to the mathematical formalism, numerical techniques and applications of relativistic hydrodynamics. The topic is presented here in a form which will be appreciated both by students and researchers in the field.
Selected Papers Volume 5
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Author : Subrahmanyan Chandrasekhar
language : en
Publisher: University of Chicago Press
Release Date : 1990-05-11
Selected Papers Volume 5 written by Subrahmanyan Chandrasekhar and has been published by University of Chicago Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-05-11 with Science categories.
This is the fifth of six volumes collecting significant papers of the distinguished astrophysicist and Nobel laureate S. Chandrasekhar. His work is notable for its breadth as well as for its brilliance; his practice has been to change his focus from time to time to pursue new areas of research. The result has been a prolific career full of discoveries and insights, some of which are only now being fully appreciated. Chandrasekhar has selected papers that trace the development of his ideas and that present aspects of his work not fully covered in the books he has periodically published to summarize his research in each area. Volume 5 covers all of Chandrasekhar's contributions to the general theory of relativity and relativity's astrophysical applications (except his research on black holes and colliding gravitational waves, which is covered in Volume 6). The major topics include the influence of general relativity on the pulsations and stability of stars; the back reaction of gravitational waves on their sources; and post-Newtonian approximations to general relativity and their astrophysical applications. In addition to research papers, the volume includes two 1972 lectures in which Chandrasekhar assessed the past, present, and future of relativistic astrophysics. The foreword by astrophysicist Kip S. Thorne is an absorbing, brief history of the field since 1961, capturing the atmosphere of the early research and clarifying Chandrasekhar's dominant role in it. Chandrasekhar has never written a monograph synthesizing his research in relativistic astrophysics, and therefore this volume of his papers serves as a summary of that work for students and more senior researchers.
Relativity Theory And Astrophysics Stellar Structure
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Author : J. Ehlers
language : en
Publisher: American Mathematical Soc.
Release Date : 1992-07
Relativity Theory And Astrophysics Stellar Structure written by J. Ehlers and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-07 with Science categories.
Equations Of Motion In Relativistic Gravity
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Author : Dirk Puetzfeld
language : en
Publisher: Springer
Release Date : 2015-06-01
Equations Of Motion In Relativistic Gravity written by Dirk Puetzfeld and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-01 with Science categories.
The present volume aims to be a comprehensive survey on the derivation of the equations of motion, both in General Relativity as well as in alternative gravity theories. The topics covered range from the description of test bodies, to self-gravitating (heavy) bodies, to current and future observations. Emphasis is put on the coverage of various approximation methods (e.g., multipolar, post-Newtonian, self-force methods) which are extensively used in the context of the relativistic problem of motion. Applications discussed in this volume range from the motion of binary systems -- and the gravitational waves emitted by such systems -- to observations of the galactic center. In particular the impact of choices at a fundamental theoretical level on the interpretation of experiments is highlighted. This book provides a broad and up-do-date status report, which will not only be of value for the experts working in this field, but also may serve as a guideline for students with background in General Relativity who like to enter this field.
General Relativistic And Post Newtonian Dynamics For Near Earth Objects And Solar System Bodies
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Author : Joseph O’Leary
language : en
Publisher: Springer Nature
Release Date : 2021-10-23
General Relativistic And Post Newtonian Dynamics For Near Earth Objects And Solar System Bodies written by Joseph O’Leary and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-23 with Science categories.
Owing to the increased accuracy requirements in fields such as astrometry and geodesy the general theory of relativity must be taken into account for any mission requiring highly accurate orbit information and for practically all observation and measurement techniques. This book highlights the confluence of Applied Mathematics, Physics and Space Science as seen from Einstein's general theory of relativity and aims to bridge the gap between theoretical and applied domains. The book investigates three distinct areas of general relativity: Exact solutions of the Einstein field equations of gravitation. Dynamics of near-Earth objects and solar system bodies. Relativistic orbitography. This book is an updated and expanded version of the author’s PhD thesis which was awarded the International Astronomical Union PhD prize in Division A: Fundamental Astronomy. Included is a new introduction aimed at graduate students of General Relativity and extended discussions and results on topics in post-Newtonian dynamics and general relativistic spacecraft propagation.
A Quest For Perspectives
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Author : Subrahmanyan Chandrasekhar
language : en
Publisher: World Scientific
Release Date : 2001
A Quest For Perspectives written by Subrahmanyan Chandrasekhar and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Science categories.
This invaluable book presents selected papers of S Chandrasekhar, co-winner of the Nobel Prize for Physics in 1983 and a scientific giant well known for his prolific and monumental contributions to astrophysics, physics and applied mathematics. The reader will find here most of Chandrasekhar's articles that led to major developments in various areas of physics and astrophysics. There are also articles of a popular and historical nature, as well as some hitherto unpublished material based on Chandrasekhar's talks at conferences. Each section of the book contains annotations by the editor.
Gravity Where Do We Stand
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Author : Roberto Peron
language : en
Publisher: Springer
Release Date : 2015-12-14
Gravity Where Do We Stand written by Roberto Peron and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-14 with Science categories.
This book presents an overview of the current understanding of gravitation, with a focus on the current efforts to test its theory, especially general relativity. It shows how the quest for a deeper theory, which would possibly incorporate gravity in the quantum realm, is more than ever an open field. The majority of the contributions deals with the manifold facets of “experimental gravitation”, but the book goes beyond this and covers a broad range of subjects from the foundations of gravitational theories to astrophysics and cosmology. The book is divided into three parts. The first part deals with foundations and Solar System tests. An introductory pedagogical chapter reviews first Newtonian gravitational theory, special relativity, the equivalence principle and the basics of general relativity. Then it focuses on approximation methods, mainly the post-Newtonian formalism and the relaxed Einstein equations, with a discussion on how they are used in treating experimental tests and in the problem of generation and detection of gravitational waves. Following this is a set of chapters describing the most recent experiments, techniques and observations on the testing of gravity theories in the laboratory, around the Earth and in the Solar System. The second part is dedicated to astrophysical topics deeply linked with the study of gravitation, namely binary pulsars and the perspective of direct detection of gravitational waves. These cases are paradigmatic in that the gravitational signals act at the same time as messengers helping us to understand the properties of important and wide classes of astrophysical objects. The third part explores the many open issues in current knowledge of gravitation machinery, especially related to astrophysical and cosmological problems and the way possible solutions to them impact the quest for a quantum theory of gravitation and unified theory. Included is a selection of the many possible paths, giving a hint to the subtleties one is called upon. Whenever possible, a close link to observational constraints and possible experimental tests is provided. In selecting the topics of the various contributions, particular care has been devoted to ensure their fit in a coherent representation of our understanding of gravitational phenomena. The book is aimed at graduate level students and will form a valuable reference for those working in the field.
Relativistic Hydrodynamics
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Author : A. H. Taub
language : en
Publisher:
Release Date : 1959
Relativistic Hydrodynamics written by A. H. Taub and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1959 with Hydrodynamics categories.
Today we have Professor Taub from the University of Illinois. He is Research Professor at the Illinois Computing Laboratory. This has nothing to do with the talk but I think it would be nice if he would give us about a five-minute rundown on what the Computing Laboratory does. We are all interested in that sort of thing. The actual talk is going to be on relativistic hydrodynamics. Professor Taub To begin with a description of the Digital Computer Laboratory at the University of Illinois, I can tell you a little about its history and some of its plans and what it is going to do. The Digital Computer Laboratory started in about 1948. At that time the acquisition of computers was a little different than it is now. The laboratory then was very much interested in the field of computer development, computer use, and development of mathematical methods for using computers efficiently, and felt that these purposes could best be achieved if a high-speed computer were available.