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 Relativity Notes
by Edmund Bertschinger - MIT
Working with GR requires some understanding of differential geometry. In this text we will develop the essential mathematics needed to describe physics in curved spacetime. These notes assume familiarity with special relativity.
(11759 views)
by Edmund Bertschinger - MIT
Working with GR requires some understanding of differential geometry. In this text we will develop the essential mathematics needed to describe physics in curved spacetime. These notes assume familiarity with special relativity.
(11759 views)
Gravitational Waves
by Alessandra Buonanno - arXiv
Gravitational-wave (GW) science has entered a new era. Theoretically, the last years have been characterized by numerous major advances. These lectures are envisioned to be an introductory, basic course in gravitational-wave physics.
(11456 views)
by Alessandra Buonanno - arXiv
Gravitational-wave (GW) science has entered a new era. Theoretically, the last years have been characterized by numerous major advances. These lectures are envisioned to be an introductory, basic course in gravitational-wave physics.
(11456 views)
Recent Developments in Gravitational Collapse and Spacetime Singularities
by Pankaj S. Joshi, Daniele Malafarina - arXiv
The research of recent years has provided considerable clarity and insight on stellar collapse, black holes and the nature and structure of spacetime singularities. In this text, the authors discuss several of these developments here.
(10697 views)
by Pankaj S. Joshi, Daniele Malafarina - arXiv
The research of recent years has provided considerable clarity and insight on stellar collapse, black holes and the nature and structure of spacetime singularities. In this text, the authors discuss several of these developments here.
(10697 views)
Introduction to Differential Geometry and General Relativity
by Stefan Waner
Smooth manifolds and scalar fields, tangent vectors, contravariant and covariant vector fields, tensor fields, Riemannian manifolds, locally Minkowskian manifolds, covariant differentiation, the Riemann curvature tensor, premises of general relativity.
(22792 views)
by Stefan Waner
Smooth manifolds and scalar fields, tangent vectors, contravariant and covariant vector fields, tensor fields, Riemannian manifolds, locally Minkowskian manifolds, covariant differentiation, the Riemann curvature tensor, premises of general relativity.
(22792 views)