A NONCOMMUTATIVE EXTENSION OF GRAVITY
- 1 March 1994
- journal article
- Published by World Scientific Pub Co Pte Ltd in International Journal of Modern Physics D
- Vol. 3 (1) , 221-224
- https://doi.org/10.1142/s0218271894000332
Abstract
The commutative algebra of functions on a manifold is extended to a noncommutative algebra by considering its tensor product with the algebra of n×n complex matrices. Noncommutative geometry is used to formulate an extension of the Einstein-Hilbert action. The result is shown to be equivalent to the usual Kaluza-Klein theory with the manifold SUn as an internal space, in a truncated approximation.Keywords
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