Pseudo-Riemannian Metrics in Models Based on Noncommutative Geometry

Details Pseudo-Riemannian Metrics in Models Based on Noncommutative Geometry Pseudo-Riemannian Metrics in Models Based on Noncommutative Geometry

1999-08-06

arxiv.org/abs/gr-qc/9908022v1

Czech.J.Phys.50:45-51,2000

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, contribution to 8th Colloquium on Quantum Groups and Integrable Systems, Prague, June 1999

Scientific paper

10.1023/A:1022864712977

Several examples and models based on noncommutative differential calculi on
commutative algebras indicate that a metric should be regarded as an element of
the left-linear tensor product of the space of 1-forms with itself. We show how
the metric compatibility condition with a linear connection generalizes to this
framework.

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