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We review, in the light of recent developments, the existing relations between gravity and topological BF theories at the classical level.
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1988
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1991
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1991
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1991
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’t Hooft G., A chiral alternative to the vierbein field in general relativity,
1991
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Capovilla R., Generally covariant gauge theories,
1992
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Henneaux M., Teitelboim C., Quantization of gauge systems, Princeton University Press, Princeton, NJ, 1992
1992
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Anishetty R., Vytheeswaran A.S., Gauge invariance in second-class constrained systems,
1993
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Peldán P., Actions for gravity, with generalizations: a review,
1994
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Barbero G. J.F., Real Ashtekar variables for Lorentzian signature space-times,
1995
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Bengtsson I., 2-form geometry and the ’t Hooft–Plebanski action,
1995
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Cattaneo A.S., Cotta-Ramusino P., Fröhlich J., Martellini M., Topological BF theories in
1995
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Reisenberger M.P., New constraints for canonical general relativity,
1995
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Holst S., Barbero’s Hamiltonian derived from a generalized Hilbert–Palatini action,
1996
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Zapata J.A., Topological lattice gravity using self-dual variables,
1996
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Immirzi G., Real and complex connections for canonical gravity,
1997
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Reisenberger M.P., A left-handed simplicial action for Euclidean general relativity,
1997
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Cattaneo A.S., Cotta-Ramusino P., Fucito F., Martellini M., Rinaldi M., Tanzini A., Zeni M., Four-dimensional Yang–Mills theory as a deformation of topological BF theory,
1998
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Wilczek F., Riemann–Einstein structure from volume and gauge symmetry,
1998
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De Pietri R., Freidel L., so(4) Plebański action and relativistic spin-foam model,
1999
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Freidel L., Krasnov K., Puzio R., BF description of higher-dimensional gravity theories,
1999
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Reisenberger M.P., Classical Euclidean general relativity from “left-handed area = right-handed area”,
Krasnov K., Shtanov Y., Halos of modified gravity,
2008
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2009
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Barrett J.W., Naish-Guzman I., The Ponzano–Regge model,
2009
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Date G., Kaul R.K., Sengupta S., Topological interpretation of Barbero–Immirzi parameter,
2009
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1999
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Baez J.C., An introduction to spin foam models of BF theory and quantum gravity, in Geometry and Quantum Physics (Schladming, 1999),
2000
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Barros e Sá N., Hamiltonian analysis of general relativity with the Immirzi parameter,
2001
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Capovilla R., Montesinos M., Prieto V.A., Rojas E., BF gravity and the Immirzi parameter,
2001
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Perez A., Spin foam quantization of SO(4) Plebański’s action,
2001
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Alexandrov S., Choice of connection in loop quantum gravity,
2002
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Damour T., Kogan I.I., Effective Lagrangians and universality classes of nonlinear bigravity,
2002
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2009
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Percacci R., Gravity from a particle physicists’ perspective,
2009
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Smolin L., Plebanski action extended to a unification of gravity and Yang–Mills theory,
2009
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2010
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2010
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Dunajski M., Solitons, instantons, and twistors,
2010
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2010
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2010
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Lisi A.G., Smolin L., Speziale S., Unification of gravity, gauge fields and Higgs bosons,
2010
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2010
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Montesinos M., Velázquez M., BF gravity with Immirzi parameter and cosmological constant,
2010
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Randono A., de Sitter spaces: topological ramifications of gravity as a gauge theory,
2010
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2010
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Speziale S., Bimetric theory of gravity from the nonchiral Plebanski action,
2010
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Wise D.K., MacDowell–Mansouri gravity and Cartan geometry,
2010
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Benedetti D., Speziale S., Perturbative quantum gravity with the Immirzi parameter,
2011
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Dupuis M., Livine E.R., Holomorphic simplicity constraints for 4D spinfoam models,
2011
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2011
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Geiller M., Lachieze-Rey M., Noui K., A new look at Lorentz-covariant loop quantum gravity,
2011
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Mielke E.W., Spontaneously broken topological
2011
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2012
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Beke D., Palmisano G., Speziale S., Pauli–Fierz mass term in modified Plebanski gravity,
2012
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Bonzom V., Smerlak M., Bubble divergences: sorting out topology from cell structure,
2012
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Wieland W.M., Complex Ashtekar variables and reality conditions for Holst’s action,
2012
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Perez A., The spin foam approach to quantum gravity,
2019
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