The MacDowell–Mansouri action (named after
S. W. MacDowell and
Freydoon Mansouri) is an
action that is used to derive
Einstein's field equations of
general relativity.
It can usefully be formulated in terms of
Cartan geometry
In the mathematical field of differential geometry, a Cartan connection is a flexible generalization of the notion of an affine connection. It may also be regarded as a specialization of the general concept of a principal connection, in which the ...
.
References
Further reading
*
*
* Wise, D. (2010)
“MacDowell-Mansouri gravity and Cartan geometry” Class. Quantum Grav. 27, 155010.
* Reid, James A.; Wang, Charles H.-T. (2014)
"Conformal holonomy in MacDowell-Mansouri gravity" J. Math. Phys. 55, 032501.
General relativity
{{relativity-stub