๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Symmetries and curvature structure in general relativity

โœ Scribed by G. S. Hall

Book ID
127429553
Publisher
World Scientific
Year
2004
Tongue
English
Weight
3 MB
Series
World Scientific lecture notes in physics 46
Edition
3
Category
Library
City
River Edge, NJ
ISBN
9812562699

No coin nor oath required. For personal study only.

โœฆ Synopsis

This is a text on classical general relativity from a geometrical viewpoint. Introductory chapters are provided on algebra, topology and manifold theory, together with a chapter on the basic ideas of space-time manifolds and Einstein's theory. There is a detailed account of algebraic structures and tensor classification in general relativity and also of the relationships between the metric, connection and curvature structures on space-times. The latter includes chapters on holonomy and sectional curvature. An extensive study is presented of symmetries in general relativity, including isometries, homotheties, conformal symmetries and affine, projective and curvature collineations. Several general properties of such symmetries are studied and a preparatory section on transformation groups and on the properties of Lie algebras of vector fields on manifolds is provided.

๐Ÿ“œ SIMILAR VOLUMES

Curvature structure in general relativit
Curvature structure in general relativity
โœ Hall, G. S.; Kay, W. ๐Ÿ“‚ Article ๐Ÿ“… 1988 ๐Ÿ› American Institute of Physics ๐ŸŒ English โš– 900 KB
Symmetries and geometry in general relat
Symmetries and geometry in general relativity
โœ G.S. Hall ๐Ÿ“‚ Article ๐Ÿ“… 1991 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 953 KB

This paper provides a geometrical discussion of affine (including isometric and homothetic), conformal and curvature symmetries in space-time. Emphasis is laid more on a systematic presentation of the material rather than the accumulation of exact solutions of Einstein's equations. A review of recen

Asymptotic symmetries in general relativ
Asymptotic symmetries in general relativity
โœ P. A. Hogan ๐Ÿ“‚ Article ๐Ÿ“… 1985 ๐Ÿ› Springer ๐ŸŒ English โš– 227 KB

In the context of a recent reformulation of the theory of gravitational radiation from bounded sources in which both shearing and shear-free radiation is manifestly present, we derive the asymptotic symmetry group of the spacetime. The group we obtain contains the Bondi-Metzner-Sachs group as a subg