Mass and Angular Momentum in General Relativity
by J.L. Jaramillo, E. Gourgoulhon
Publisher: arXiv 2010
Number of pages: 41
Description:
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 for the gravitational field. We illustrate the difficulties rooted in the Equivalence Principle for defining a local energy-momentum density for the gravitational field.
Download or read it online for free here:
Download link
(360KB, PDF)
Similar books
General Covariance and the Foundations of General Relativityby John D Norton - University of Pittsburgh
This text reviews the development of Einstein's thought on general covariance (the fundamental physical principle of GTR), its relation to the foundations of general relativity and the evolution of the continuing debate over his viewpoint.
(6316 views)
Foundations of Tensor Analysis for Students of Physics and Engineering With an Introduction to the Theory of Relativityby Joseph C. Kolecki - Glenn Research Center
Tensor analysis is useful because of its great generality and compact notation. This monograph provides a conceptual foundation for students of physics and engineering who wish to pursue tensor analysis as part of their advanced studies.
(6577 views)
Schwarzschild and Kerr Solutions of Einstein's Field Equation: an introductionby Christian Heinicke, Friedrich W. Hehl - arXiv
Starting from Newton's gravitational theory, we give a general introduction into the spherically symmetric solution of Einstein's vacuum field equation, the Schwarzschild solution, and into one specific stationary solution, the Kerr solution.
(4287 views)
Dynamical and Hamiltonian Formulation of General Relativityby Domenico Giulini - arXiv.org
This text introduces the reader to the reformulation of Einstein's field equations of General Relativity as a constrained evolutionary system of Hamiltonian type and discusses some of its uses, together with some technical and conceptual aspects.
(2003 views)