Differential Forms, Hopf Algebra and General Relativity I

Details Differential Forms, Hopf Algebra and General Relativity I Differential Forms, Hopf Algebra and General Relativity I

Publishing date

1997-02-13

URL

arxiv.org/abs/gr-qc/9702024v1

Journals

Acta Phys.Polon. B28 (1997) 1515-1552

Science

Astronomy and Astrophysics

Field

Astrophysics

SubField

General Relativity and Quantum Cosmology

Additional info

36 pages, LaTeX file, no figures

Type

Scientific paper

Abstract

We review the language of differential forms and their applications to Riemannian Geometry with an orientation to General Relativity. Working with the principal algebraic and differential operations on forms, we obtain the structure equations and their symmetries in terms of a new product (the co-multiplication). It is showen how the Cartan - Grassmann algebra can be endowed with the structure of a Hopf algebra.

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