Mass And Motion In General Relativity

Author : Luc Blanchet,Alessandro Spallicci,Bernard Whiting
Publisher : Springer Science & Business Media
Page : 634 pages
File Size : 44,5 Mb
Release : 2011-01-19
Category : Science
ISBN : 9789048130153

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Mass and Motion in General Relativity by Luc Blanchet,Alessandro Spallicci,Bernard Whiting Pdf

From the infinitesimal scale of particle physics to the cosmic scale of the universe, research is concerned with the nature of mass. While there have been spectacular advances in physics during the past century, mass still remains a mysterious entity at the forefront of current research. Our current perspective on gravitation has arisen over millennia, through the contemplation of falling apples, lift thought experiments and notions of stars spiraling into black holes. In this volume, the world’s leading scientists offer a multifaceted approach to mass by giving a concise and introductory presentation based on insights from their respective fields of research on gravity. The main theme is mass and its motion within general relativity and other theories of gravity, particularly for compact bodies. Within this framework, all articles are tied together coherently, covering post-Newtonian and related methods as well as the self-force approach to the analysis of motion in curved space-time, closing with an overview of the historical development and a snapshot on the actual state of the art. All contributions reflect the fundamental role of mass in physics, from issues related to Newton’s laws, to the effect of self-force and radiation reaction within theories of gravitation, to the role of the Higgs boson in modern physics. High-precision measurements are described in detail, modified theories of gravity reproducing experimental data are investigated as alternatives to dark matter, and the fundamental problem of reconciling any theory of gravity with the physics of quantum fields is addressed. Auxiliary chapters set the framework for theoretical contributions within the broader context of experimental physics. The book is based upon the lectures of the CNRS School on Mass held in Orléans, France, in June 2008. All contributions have been anonymously refereed and, with the cooperation of the authors, revised by the editors to ensure overall consistency.

Author : Luc Blanchet,Alessandro Spallicci,Bernard Whiting
Publisher : Springer
Page : 644 pages
File Size : 46,9 Mb
Release : 2011-03-30
Category : Electronic
ISBN : 9048130166

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Mass and Motion in General Relativity by Luc Blanchet,Alessandro Spallicci,Bernard Whiting Pdf

In this volume, leading scientists offer a multifaceted approach to mass by giving a concise and introductory presentation into their particular research on gravity. The main theme is mass and its motion within general relativity and other theories of gravity.

Author : Julian B. Barbour,Herbert Pfister
Publisher : Springer Science & Business Media
Page : 558 pages
File Size : 51,6 Mb
Release : 1995-08-11
Category : Science
ISBN : 0817638237

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Mach's Principle by Julian B. Barbour,Herbert Pfister Pdf

This volume is a collection of scholarly articles on the Mach Principle, the impact that this theory has had since the end of the 19th century, and its role in helping Einstein formulate the doctrine of general relativity. 20th-century physics is concerned with the concepts of time, space, motion, inertia and gravity. The documentation on all of these makes this book a reference for those who are interested in the history of science and the theory of general relativity

Author : A. S. Eddington
Publisher : Read Books Ltd
Page : 224 pages
File Size : 43,7 Mb
Release : 2013-04-16
Category : Science
ISBN : 9781473383074

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Space Time And Gravitation by A. S. Eddington Pdf

Arthur Eddington was one of the prominent English astrophysicists of the 20th century, well known in his day for his correspondence with Albert Einstein through the upheavals of the First World War. A fascinating book by one of the greats of the scientific community.

Author : Ignazio Ciufolini,John Archibald Wheeler
Publisher : Princeton University Press
Page : 128 pages
File Size : 46,7 Mb
Release : 2018-06-26
Category : Science
ISBN : 9780691190198

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Gravitation and Inertia by Ignazio Ciufolini,John Archibald Wheeler Pdf

Einstein's standard and battle-tested geometric theory of gravity--spacetime tells mass how to move and mass tells spacetime how to curve--is expounded in this book by Ignazio Ciufolini and John Wheeler. They give special attention to the theory's observational checks and to two of its consequences: the predicted existence of gravitomagnetism and the origin of inertia (local inertial frames) in Einstein's general relativity: inertia here arises from mass there. The authors explain the modern understanding of the link between gravitation and inertia in Einstein's theory, from the origin of inertia in some cosmological models of the universe, to the interpretation of the initial value formulation of Einstein's standard geometrodynamics; and from the devices and the methods used to determine the local inertial frames of reference, to the experiments used to detect and measure the "dragging of inertial frames of reference." In this book, Ciufolini and Wheeler emphasize present, past, and proposed tests of gravitational interaction, metric theories, and general relativity. They describe the numerous confirmations of the foundations of geometrodynamics and some proposed experiments, including space missions, to test some of its fundamental predictions--in particular gravitomagnetic field or "dragging of inertial frames" and gravitational waves.

Author : James B. Hartle
Publisher : Cambridge University Press
Page : 605 pages
File Size : 54,7 Mb
Release : 2021-06-24
Category : Science
ISBN : 9781316517543

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Gravity by James B. Hartle Pdf

Best-selling, accessible physics-first introduction to GR uses minimal new mathematics and begins with the essential physical applications.

Author : Sean M. Carroll
Publisher : Cambridge University Press
Page : 529 pages
File Size : 49,8 Mb
Release : 2019-08-08
Category : Science
ISBN : 9781108488396

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Spacetime and Geometry by Sean M. Carroll Pdf

An accessible introductory textbook on general relativity, covering the theory's foundations, mathematical formalism and major applications.

Author : Dirk Puetzfeld,Claus Lämmerzahl,Bernard Schutz
Publisher : Springer
Page : 842 pages
File Size : 54,5 Mb
Release : 2015-06-01
Category : Science
ISBN : 9783319183350

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Equations of Motion in Relativistic Gravity by Dirk Puetzfeld,Claus Lämmerzahl,Bernard Schutz Pdf

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.

Author : Joseph Weber
Publisher : Unknown
Page : 288 pages
File Size : 51,9 Mb
Release : 1975
Category : Gravitation
ISBN : MINN:31951000510574N

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General Relativity and Gravitational Waves by Joseph Weber Pdf

Author : Lev Borisovi? Oku?
Publisher : World Scientific
Page : 323 pages
File Size : 52,6 Mb
Release : 2009
Category : Science
ISBN : 9789812814128

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Energy and Mass in Relativity Theory by Lev Borisovi? Oku? Pdf

This is the first book in which Einstein's equation is explicitly compared with its popular though not correct counterpart E = mc2, according to which mass increases with velocity. The book will be of interest to researchers in theoretical, atomic and nuclear physics, to historians of science as well as to students and teachers interested in relativity theory.

Author : Hans Stephani
Publisher : Cambridge University Press
Page : 340 pages
File Size : 45,9 Mb
Release : 1990-06-29
Category : Science
ISBN : 0521379415

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General Relativity by Hans Stephani Pdf

This is an excellent introduction to the subjects of gravitation and space-time structure. It discusses the foundations of Riemann geometry; the derivation of Einstein field equations; linearised theory; far fields and gravitational waves; the invariant characterisation of exact solutions; gravitational collapse; cosmology as well as alternative gravitational theories and the problem of quantum gravity.

Author : L. P. Hughston,K. P. Tod
Publisher : Cambridge University Press
Page : 196 pages
File Size : 53,5 Mb
Release : 1990
Category : Mathematics
ISBN : 052133943X

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An Introduction to General Relativity by L. P. Hughston,K. P. Tod Pdf

This textbook provides an introduction to general relativity for mathematics undergraduates or graduate physicists. After a review of Cartesian tensor notation and special relativity the concepts of Riemannian differential geometry are introducted. More emphasis is placed on an intuitive grasp of the subject and a calculational facility than on a rigorous mathematical exposition. General relativity is then presented as a relativistic theory of gravity reducing in the appropriate limits to Newtonian gravity or special relativity. The Schwarzchild solution is derived and the gravitational red-shift, time dilation and classic tests of general relativity are discussed. There is a brief account of gravitational collapse and black holes based on the extended Schwarzchild solution. Other vacuum solutions are described, motivated by their counterparts in linearised general relativity. The book ends with chapters on cosmological solutions to the field equations. There are exercises attached to each chapter, some of which extend the development given in the text.

Author : David D. Nolte
Publisher : Oxford University Press
Page : 384 pages
File Size : 45,9 Mb
Release : 2018-07-12
Category : Science
ISBN : 9780192528506

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Galileo Unbound by David D. Nolte Pdf

Galileo Unbound traces the journey that brought us from Galileo's law of free fall to today's geneticists measuring evolutionary drift, entangled quantum particles moving among many worlds, and our lives as trajectories traversing a health space with thousands of dimensions. Remarkably, common themes persist that predict the evolution of species as readily as the orbits of planets or the collapse of stars into black holes. This book tells the history of spaces of expanding dimension and increasing abstraction and how they continue today to give new insight into the physics of complex systems. Galileo published the first modern law of motion, the Law of Fall, that was ideal and simple, laying the foundation upon which Newton built the first theory of dynamics. Early in the twentieth century, geometry became the cause of motion rather than the result when Einstein envisioned the fabric of space-time warped by mass and energy, forcing light rays to bend past the Sun. Possibly more radical was Feynman's dilemma of quantum particles taking all paths at once — setting the stage for the modern fields of quantum field theory and quantum computing. Yet as concepts of motion have evolved, one thing has remained constant, the need to track ever more complex changes and to capture their essence, to find patterns in the chaos as we try to predict and control our world.

Author : Asghar Qadir
Publisher : World Scientific
Page : 145 pages
File Size : 54,6 Mb
Release : 1989-11-01
Category : Science
ISBN : 9789814507578

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Relativity : An Introduction To The Special Theory by Asghar Qadir Pdf

The most important feature in this book is the simple presentation with details of calculations. It is very easy to follow. Fairly sophisticated calculations are developed very rapidly. The presentation is logical and the detailed coverage makes this book very readable and useful. The contents develop Relativity as a modern theory of motion, starting by placing it in historical perspective and proceeding to show its logical necessity. The development of the Lorentz transformation is given using only one assumption rather than two. Right away in Chapter 3, geometry as required in Special Relativity for extension to General Relativity is introduced. This enables the use of the four-vector formalism of Minkowski. By the end of Chapter 4, the general Lorentz transformations for three-dimensional motion and their relation to four-dimensional boosts have already been explained. In Chapter 5 applications of relevance in Physics are provided. After a brief introduction to elementary electromagnetic theory, it is reformulated as a theory in four-dimensions using tensors in Chapter 6. Finally in Chapter 7, the theory is extended to deal with accelerated motion as “corrections” to Special Relativity.

Author : Mohammad Javanshiry
Publisher : Lulu.com
Page : 221 pages
File Size : 53,8 Mb
Release : 2022-11-17
Category : Science
ISBN : 9781471010668

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The Theory of Density by Mohammad Javanshiry Pdf

The main parts of this book consist of three long articles that have previously been published by the Galilean Electrodynamics journal during three succeeding years as special summer issues. The subject is a new theory of ether that has been developed. This version of ether is compatible with special relativity theory (SRT), and thus it cannot be considered as an absolute frame of reference. One of the virtues of this book is that many of the novel predictions can be tested in high-tech laboratories; moreover, the book includes some new and extraordinary physical concepts that make the proposed claims rational and plausible. The words on the front page, “From an alternative to general relativity to the unified mass-charge equation,” are not intended as a gossipy slogan, the likes of which sometimes appear in pseudoscientific media or science-fiction books; it is a true motto with a deep and physical basis. It is up to the reader, however, to judge whether or not the book really does what it sets out to do. The first chapter introduces a substantial number of Einstein’s general relativity predictions, which are recalculated according to density theory (DT) to validate the theory for the reader. The second chapter uses interesting concepts, some of which present empirically bizarre results and are undisclosed as of yet; e.g., it is shown that static pressure can dilate time and increase mass; the light beam is affected in specific magnetic and electrical fields, and thus we can deduce that photons are not always electrically neutral; ether negative mass causes universal expansion; and finally, water can behave as a biological ether especially for deep sea creatures, as its hydrostatic pressure can affect biological longevity. In chapter three, The author tries to unify mass and electrical charges – one of the oldest and most disputatious physical problems – in the single equation of “mass + rotation = charge” for the very first time in the history of science. Additionally, an alternative to the dynamo theory is brought forth. After explaining each novel concept, the author uses some numerical examples with no complicated mathematical methods beyond common calculus. These concepts and examples make the book read as an argumentative dissident textbook that is suitable for bachelor students in science and engineering who want to nourish their desires to research beyond the realm of orthodoxy in frontier physics.