Algebraic Computing in General Relativity Lecture Notes from the First Brazilian School on Computer Algebra Volume 2
by MacCallum, M. A. H.; Skea, J. E.; McLenaghan, R. G.; McCrea, J. D.Format: Hardcover
Pub. Date: 1995-01-19
Publisher(s): Oxford University Press
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Summary
This book provides a step-by-step approach to the facilities available in MAPLE, REDUCE, and SHEEP--three innovative computer algebra systems--for performing calculations relevant to general relativity theory research. Beginning with MAPLE and REDUCE, two widespread great-purpose systems, the authors describe how currently available packages perform tetrad, coordinate system, and Poincaré gauge theory calculations. A section on SHEEP and Stensor offers expert guidance on how they can be used to tackle a wide range of calculations in general relativity, including the manipulation of indicial formulae. With Algebraic Computing in General Relativity in hand, students and researchers in mathematical physics and general relativity theory have an indispensable practical overview of the subject.
Author Biography
Professor M. A. H. MacCallum is in the School of Mathematical Sciences, Queen Mary and Westfield College, University of London, London.
Table of Contents
| Sheep: A Computer Algebra System for General Relativity | |
| An Overview of Sheep | |
| Using Sheep and Classi | |
| Using Classi to Classify Metrics | |
| The Internal of Sheep | |
| Packages for Special Occasions | |
| Stensor | |
| Reduce: In General Relativity and Poincare | |
| Geometrical Preliminaries | |
| Calculations on Co-ordinate Bases | |
| Anholonomic Frames | |
| The Exterior Calculus Package EXCALC | |
| The Poincare Gauge Theory | |
| maple: Applications to General Relativity | |
| Introduction: Overview of MAPLE Applications to General Relativity | |
| Computation of the Connection and Curvature | |
| The Petrov Classification of the Weyl Tensor | |
| Computer Algebra Aided Integration of Field Equations with the NP Package | |
| Table of Contents provided by Publisher. All Rights Reserved. |
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