Symmetries And Curvature Structure In General Relativity (lecture Notes In Physics)
by G. S. Hall /
2004 / English / PDF
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This book 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 provided of symmetries in general
relativity including isometries, homothetoes, conformal symmetries
and affine and curvature collineations. Several general properties
of such symmetries are studied and an introductory chapter on
transformation groups on manifolds is provided.
This book 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 provided of symmetries in general
relativity including isometries, homothetoes, conformal symmetries
and affine and curvature collineations. Several general properties
of such symmetries are studied and an introductory chapter on
transformation groups on manifolds is provided.