Tensor Algebra with REDTEN

A User Manual
Edition 1.0

John F. Harper and Charles C. Dyer

Department of Astronomy
Scarborough College
University of Toronto

Email: harper@scar.utoronto.ca
dyer@astro.utoronto.ca
WWW: http://www.scar.utoronto.ca/%7Eharper/redten/

Wed Nov 16 13:47:41 EST 1994

Copyright © 1994 by J. F. Harper and C. C. Dyer

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• Contents
• Introduction
  • History
  • Concepts in REDUCE
    • Case Sensitivity
    • Notation
    • Lisp Variables
    • Property Lists
• Indexed Objects
  • The Indexed Object
  • Using mkobj()
    • name
    • indextype
    • Symmetries
      • Combining Symmetries
      • Constraints
    • implicit value
    • itype
    • Other properties
    • mkobj() Examples
  • The Index
    • Differentiation
    • Shift Operations
    • Symmetrization
  • The Robertson-Walker Metric
    • coords()
    • Entering Components
    • Accessing and Displaying Components
• Algebra with Indexed Objects
  • Metric Contractions
    • metrics
    • shift()
• The General Relativity Package
  • Ordinary Differentiation
    • Partial Differentiation
  • Covariant Differentiation
    • Covariant derivatives of shifted objects
  • Generic Names
  • Other Functions
  • The Matrix Functions
• Utilities
  • Expression Management
    • mapfi()
  • Other Utilities
• Other Packages
  • The Frame Package
    • The Complex Arithmetic Package
    • Converting basis
    • Covariant differentiation
  • The Spinor Package
  • The Newman-Penrose Package
    • Newman-Penrose Operators
• Enhancements
  • The REDUCE Environment
    • Saving to Disk
  • The Pager
  • Miscellaneous
  • Case Mapping
• Extending REDTEN
• The Sato Metric
• REDTEN Functions, Variables, and Switches
• Functions
• Switches
• Error Messages
• Internal Details
• Getting Started
• Renaming Internal Functions
• Modifications to REDUCE
• New Features
• Index
• About this document ...