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Mass and Motion in General Relativity

Part of the Fundamental Theories of Physics Book Series (volume 162)

Editors: Blanchet, Luc; Spallicci, Alessandro; Whiting, Bernard

DOI: 10.1007/978-90-481-3015-3

ISBN: 978-90-481-3014-6

Publisher: Springer Netherlands - Springer Journals

Oct 7, 2010

1 - 10 of 20 Chapters

LitStream

Chapter 1The Higgs Mechanism and the Origin of Mass

Djouadi, Abdelhak

Pages: 1 –23

[The Higgs mechanism plays a key role in the physics of elementary particles: in the context of the Standard Model, the theory which, describes in a unified framework the electromagnetic, weak, and strong nuclear interactions, it allows for the generation of particle masses while preserving the...
LitStream

Chapter 2Testing Basic Laws of Gravitation – Are Our Postulates on Dynamics and Gravitation Supported by Experimental Evidence?

Lämmerzahl, Claus

Pages: 25 –65

[Gravity is the most fundamental interaction; it not only describes a particular interaction between matter, but also encompasses issues such as the notion of space and time, the role of the observer, and the relativistic measurement process. Gravity is geometry and, in consequence, allows the...
LitStream

Chapter 3Mass Metrology and the International System of Units (SI)

Davis, Richard S.

Pages: 67 –86

[The International System of Units (SI) is widely used in science, industry, and commerce because it caters simultaneously to the needs of all. In the early twenty-first century, this means defining the units of time, length, mass, and electricity in terms of the fundamental constants of physics,...
LitStream

Chapter 4Mass and Angular Momentum in General Relativity

Jaramillo, José Luis; Gourgoulhon, Eric

Pages: 87 –124

[We present an introduction to mass and angular momentum in General Relativity. After briefly reviewing energy–momentum for matter fields, first in the flat Minkowski case (Special Relativity) and then in curved spacetimes with or without symmetries, we focus on the discussion of energy–momentum...
LitStream

Chapter 5Post-Newtonian Theory and the Two-Body Problem

Blanchet, Luc

Pages: 125 –166

[Reliable predictions of general relativity theory are extracted using approximation methods. Among these, the powerful post-Newtonian approximation provides us with our best insights into the problems of motion and gravitational radiation of systems of compact objects. This approximation has...
LitStream

Chapter 6Post-Newtonian Methods: Analytic Results on the Binary Problem

Schäfer, Gerhard

Pages: 167 –210

[A detailed account is given on approximation schemes to the Einstein theory of general relativity where the iteration starts from the Newton theory of gravity. Two different coordinate conditions are used to represent the Einstein field equations, the generalized isotropic ones of the canonical...
LitStream

Chapter 7The Effective One-Body Description of the Two-Body Problem

Damour, Thibault; Nagar, Alessandro

Pages: 211 –252

[The effective one-body (EOB) formalism is an analytical approach which aims at providing an accurate description of the motion and radiation of coalescing binary black holes with arbitrary mass ratio. We review the basic elements of this formalism and discuss its aptitude at providing accurate...
LitStream

Chapter 8Introduction to Gravitational Self-Force

Wald, Robert M.

Pages: 253 –262

[The motion of a sufficiently small body in general relativity should be accurately described by a geodesic. However, there should be “gravitational self-force” corrections to geodesic motion, analogous to the “radiation reaction forces” that occur in electrodynamics. It is of considerable...
LitStream

Chapter 9Derivation of Gravitational Self-Force

Gralla, Samuel E.; Wald, Robert M.

Pages: 263 –270

[We analyze the issue of “particle motion” in general relativity in a systematic and rigorous way by considering a one-parameter family of metrics corresponding to having a body (or black hole) that is “scaled down” to 0 size and mass in an appropriate manner. We prove that the limiting worldline...
LitStream

Chapter 10Elementary Development of the Gravitational Self-Force

Detweiler, Steven

Pages: 271 –307

[The gravitational field of a particle of small mass m moving through curved spacetime, with metric gab, is naturally and easily decomposed into two parts each of which satisfies the perturbed Einstein equations through O(m). One part is an inhomogeneous field habS which, near the particle, looks...

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