Einstein-Hilbert action with cosmological term from Chern-Simons gravity

DOI10.1016/j.geomphys.2014.08.013zbMath1306.83005arXiv1605.00325OpenAlexW2040243574MaRDI QIDQ478849

Yong-Cai Geng, Sumit K. Garg

Publication date: 4 December 2014

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.00325

zbMATH Keywords

expansionLie algebracosmological termChern-Simons\(S\)-expansion methodEinstein-Hilbert

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Quantum field theory on curved space or space-time backgrounds (81T20) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Eta-invariants, Chern-Simons invariants (58J28) Lie algebras of linear algebraic groups (17B45)

Related Items (13)

Generalized supersymmetric cosmological term in \(N=1\) supergravity ⋮ Lovelock gravities from Born-Infeld gravity theory ⋮ On the hidden maxwell superalgebra underlying supergravity ⋮ Scalar-tensor theory with EGB term from Einstein Chern-Simons gravity ⋮ Infinite S-expansion with ideal subtraction and some applications ⋮ Cosmic Evolution of Five‐dimensional Einstein Chern‐Simons Gravity Through Dark Energy Model ⋮ Resonant algebras and gravity ⋮ Semi-simple enlargement of the \( \mathfrak{b}\mathfrak{m}{\mathfrak{s}}_3 \) algebra from a \( \mathfrak{so}\left(2,\;2\right)\oplus \mathfrak{so}\left(2,\;1\right) \) Chern-Simons theory ⋮ New family of Maxwell like algebras ⋮ The Maxwell group in 2+1 dimensions and its infinite-dimensional enhancements ⋮ Three-dimensional Poincaré supergravity and \(\mathcal{N}\)-extended supersymmetric BMS\(_3\) algebra ⋮ \(\mathcal{N}\)-extended Maxwell supergravities as Chern-Simons theories in three spacetime dimensions ⋮ Chern-Simons supergravity in \(D = 3\) and Maxwell superalgebra

Cites Work

• Topological gauge theory of gravity in five and all odd dimensions
• Generating Lie and gauge free differential (super)algebras by expanding Maurer-Cartan forms and Chern-Simons supergravity
• The extended Cartan homotopy formula and a subspace separation method for Chern-Simons theory
• Expansions of algebras and superalgebras and some applications
• CONTRACTIONS, GENERALIZED INÖNÜ-WIGNER CONTRACTIONS AND DEFORMATIONS OF FINITE-DIMENSIONAL LIE ALGEBRAS
• Extensions, expansions, Lie algebra cohomology and enlarged superspaces
• Expanding Lie (super)algebras through Abelian semigroups
• Contraction of Lie algebra representations
• The three-dimensional real Lie algebras and their contractions
• Wess-Zumino Term for the AdS Superstring and Generalized Inonu-Wigner Contraction
• Dual formulation of the Lie algebra S-expansion procedure
• On the Contraction of Groups and Their Representations

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