MacDowell–Mansouri action
{{Short description|Action used to derive Einstein's field equations}}
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.{{Cite journal |last=Wise |first=Derek K. |date=2010-08-07 |title=MacDowell-Mansouri gravity and Cartan geometry |journal=Classical and Quantum Gravity |volume=27 |issue=15 |pages=155010 |doi=10.1088/0264-9381/27/15/155010 |arxiv=gr-qc/0611154 |bibcode=2010CQGra..27o5010W |s2cid=16706599 |issn=0264-9381}}
References
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Further reading
- {{Cite journal |first1=S. W. |last1=MacDowell |first2=F. |last2=Mansouri |title=Unified geometric theory of gravity and supergravity |journal=Phys. Rev. Lett. |volume=38 |issue=14 |year=1977 |pages=739–742 |doi=10.1103/PhysRevLett.38.739 |bibcode=1977PhRvL..38..739M}}
- {{Cite web |title=Derek Wise on Cartan Geometry and MacDowell–Mansouri Gravity |work=The n-Category Café |date=July 7, 2007 |url=http://golem.ph.utexas.edu/category/2007/07/derek_wise_on_cartan_geometry.html }}
- Wise, D. (2010). [https://iopscience.iop.org/article/10.1088/0264-9381/27/15/155010 “MacDowell-Mansouri gravity and Cartan geometry”]. Class. Quantum Grav. 27, 155010.
- Reid, James A.; Wang, Charles H.-T. (2014). [http://dx.doi.org/10.1063/1.4867337 "Conformal holonomy in MacDowell-Mansouri gravity"]. J. Math. Phys. 55, 032501.
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