Mass and Motion in General Relativity

Mass and Motion in General Relativity
Author: Luc Blanchet
Publisher: Springer Science & Business Media
Total Pages: 634
Release: 2011-01-19
Genre: Science
ISBN: 9048130158

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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.

Mass and Motion in General Relativity

Mass and Motion in General Relativity
Author: Luc Blanchet
Publisher: Springer
Total Pages: 644
Release: 2011-03-30
Genre:
ISBN: 9789048130160

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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.

Energy and Mass in Relativity Theory

Energy and Mass in Relativity Theory
Author: Lev Borisovi? Oku?
Publisher: World Scientific
Total Pages: 323
Release: 2009
Genre: Science
ISBN: 9812814124

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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.

Mass and Motion

Mass and Motion
Author: James Owen Weatherall
Publisher:
Total Pages: 128
Release: 2012
Genre:
ISBN: 9781267454485

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There is a long tradition, originating with Aristotle, of philosophers interested in the nature of unforced motion. How do bodies move in the absence of any external influence, and why? The modern answer to the "how'" half of this question is the subject of Newton's first law of motion, which states that in the absence of any external forces, a body traverses a straight line at constant velocity. Newton's first law, however, does not appear to provide an answer to the "why" half of the question. Indeed, many physicists and philosophers of physics, Einstein included, have held that this question cannot be answered until one moves to general relativity---and more, that general relativity is distinctive among spacetime theories precisely because it "explains" unforced motion, in the sense that the geodesic principle---the geometrical version of Newton's first law---can be proved as a theorem. In this dissertation, I argue that Newtonian gravitation provides an explanation of inertial motion almost identical to that of general relativity. However, the details of both cases are remarkably subtle, and considerable attention must be paid to the sense of "explain" being used. Four chapters of the dissertation are devoted to these considerations. The final chapter of the dissertation addresses a slightly different topic. In standard Newtonian gravitation, there are two distinct notions of mass: "inertial mass" and "(passive) gravitational mass". Yet it is an empirical fact that for any body, the values of these masses are always equal. Historically, many physicists have taken this fact to call for explanation. A natural place to look for an explanation of the coincidence of inertial and gravitational mass would be general relativity. In general relativity, however, there is no coherent notion of gravitational mass. This chapter shows how it is that gravitational mass arises as a distinct property of matter in the Newtonian limit of general relativity, and moreover, shows that in any model of standard Newtonian gravitation that approximates a model of relativity theory (in the sense of being a limit of a sequence of relativistic spacetimes), inertial and gravitational mass must be equal.

Gravitation and Inertia

Gravitation and Inertia
Author: Ignazio Ciufolini
Publisher: Princeton University Press
Total Pages:
Release: 2018-06-26
Genre: Science
ISBN: 0691190194

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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.

Mach's Principle

Mach's Principle
Author: Julian B. Barbour
Publisher: Springer Science & Business Media
Total Pages: 558
Release: 1995-08-11
Genre: Science
ISBN: 9780817638238

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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

Gravitation

Gravitation
Author: Charles W. Misner
Publisher: Princeton University Press
Total Pages: 1336
Release: 2017-10-03
Genre: Science
ISBN: 140088909X

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First published in 1973, Gravitation is a landmark graduate-level textbook that presents Einstein’s general theory of relativity and offers a rigorous, full-year course on the physics of gravitation. Upon publication, Science called it “a pedagogic masterpiece,” and it has since become a classic, considered essential reading for every serious student and researcher in the field of relativity. This authoritative text has shaped the research of generations of physicists and astronomers, and the book continues to influence the way experts think about the subject. With an emphasis on geometric interpretation, this masterful and comprehensive book introduces the theory of relativity; describes physical applications, from stars to black holes and gravitational waves; and portrays the field’s frontiers. The book also offers a unique, alternating, two-track pathway through the subject. Material focusing on basic physical ideas is designated as Track 1 and formulates an appropriate one-semester graduate-level course. The remaining Track 2 material provides a wealth of advanced topics instructors can draw on for a two-semester course, with Track 1 sections serving as prerequisites. This must-have reference for students and scholars of relativity includes a new preface by David Kaiser, reflecting on the history of the book’s publication and reception, and a new introduction by Charles Misner and Kip Thorne, discussing exciting developments in the field since the book’s original publication. The book teaches students to: Grasp the laws of physics in flat and curved spacetime Predict orders of magnitude Calculate using the principal tools of modern geometry Understand Einstein's geometric framework for physics Explore applications, including neutron stars, Schwarzschild and Kerr black holes, gravitational collapse, gravitational waves, cosmology, and so much more

Inertia and Gravitation

Inertia and Gravitation
Author: Vesselin Petkov
Publisher: Minkowski Institute Press
Total Pages: 150
Release: 2012-12-18
Genre: Inertia (Mechanics)
ISBN: 098798716X

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This book fills a gap in the literature. So far there has been no book which deals with inertia and gravitation by explicitly addressing open questions and issues which have been hampering the proper understanding of these phenomena. The book places a strong emphasis on the physical understanding of the main aspects and features of inertia and gravitation. It discusses questions such as: Are inertial forces fictitious or real? Does Minkowski's four-dimensional formulation of special relativity provide an insight into the origin of inertia? Does mass increase relativistically? Why is the inertial mass equivalent to the gravitational mass? Are gravitational phenomena caused by gravitational interaction according to general relativity? Is there gravitational energy? Do gravitational waves carry gravitational energy? Can gravity be quantized?

General Relativity

General Relativity
Author: Hans Stephani
Publisher: Cambridge University Press
Total Pages: 340
Release: 1990-06-29
Genre: Science
ISBN: 9780521379410

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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.

Relativity

Relativity
Author: Roger Penrose
Publisher: Penguin
Total Pages: 188
Release: 2006-08-29
Genre: Science
ISBN: 1101117702

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Robert Geroch builds on Einstein's work with commentary that addresses the ideas at the heart of the theory, bringing a modern understanding of relativity to the text. He elucidates how special relativity is a reconciliation of the contradictions between the nature of light and the principle of relativity; he expands on Einstein's treatment of the geometry of space-time and the fundamental notion of an "event"; he explains in detail, but without technical language, the equivalence of inertial and gravitational mass, a cornerstone of general relativity.