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Mass and Motion in General Relativity

✍ Scribed by Abdelhak Djouadi (auth.), Luc Blanchet, Alessandro Spallicci, Bernard Whiting (eds.)


Publisher
Springer Netherlands
Year
2011
Tongue
English
Leaves
644
Series
Fundamental Theories of Physics 162
Edition
1
Category
Library

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✦ Synopsis


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 OrlΓ©ans, 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.

✦ Table of Contents


Front Matter....Pages i-xviii
The Higgs Mechanism and the Origin of Mass....Pages 1-23
Testing Basic Laws of Gravitation – Are Our Postulates on Dynamics and Gravitation Supported by Experimental Evidence?....Pages 25-65
Mass Metrology and the International System of Units (SI)....Pages 67-86
Mass and Angular Momentum in General Relativity....Pages 87-124
Post-Newtonian Theory and the Two-Body Problem....Pages 125-166
Post-Newtonian Methods: Analytic Results on the Binary Problem....Pages 167-210
The Effective One-Body Description of the Two-Body Problem....Pages 211-252
Introduction to Gravitational Self-Force....Pages 253-262
Derivation of Gravitational Self-Force....Pages 263-270
Elementary Development of the Gravitational Self-Force....Pages 271-307
Constructing the Self-Force....Pages 309-325
Computational Methods for the Self-Force in Black Hole Spacetimes....Pages 327-366
Radiation Reaction and Energy–Momentum Conservation....Pages 367-393
The State of Current Self-Force Research....Pages 395-414
High-Accuracy Comparison Between the Post-Newtonian and Self-Force Dynamics of Black-Hole Binaries....Pages 415-442
LISA and Capture Sources....Pages 443-459
Motion in Alternative Theories of Gravity....Pages 461-489
Mass, Inertia, and Gravitation....Pages 491-530
Motion in Quantum Gravity....Pages 531-559
Free Fall and Self-Force: an Historical Perspective....Pages 561-603
Back Matter....Pages 605-624

✦ Subjects


Classical and Quantum Gravitation, Relativity Theory;Astrophysics and Astroparticles;Mechanics


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