Einstein gravity with generalized cosmological term from five-dimensional AdS-Maxwell-Chern-Simons gravity
Abstract: Some time ago, the standard geometric framework of Einstein gravity was extended by gauging the Maxwell algebra as well as the so called AdS-Maxwell algebra. In this letter it is shown that the actions for these four-dimensional extended Einstein gravities can be obtained from the five-dimensional Chern-Simons gravities actions by using the Randall-Sundrum compactification procedure. It is found that the In\"on\"u-Wigner contraction procedure, in the Weimar-Woods sense, can be used both to obtain the Maxwell-Chern-Simons action from the AdS-Maxwell-Chern-Simons action and to obtain the Maxwell extension of Einstein gravity in 4D from the four-dimensional extended AdS-Maxwell-Einstein-Hilbert action. It is also shown that the extended four-dimensional gravities belongs to the Horndeski family of scalar-tensor theories.
- J.A. de Azcarraga, K. Kamimura and J. Lukierski, “Maxwell symmetries and some applications” , Int. J. Mod. Phys. Conf. Ser. 23 (2013) 01160.
- H. Bacry, P. Combe and J. L. Richard, “Group-theoretical analysis of elementary particles in an external electromagnetic field. 1. the relativistic particle in a constant and uniform field,” Nuovo Cim. A 67 (1970) 267.
- R. Schrader, “The Maxwell group and the quantum theory of particles in classical homogeneous electromagnetic fields,” Fortsch. Phys. 20 (1972) 701.
- M. Hatsuda, M. Sakaguchi, “Wess-Zumino Term for the AdS Superstring and Generalized Inönü-Wigner Contraction”. Prog. Theor. Phys. 109 (2003) 853. arXiv:hep-th/0106114.
- J. A. de Azcárraga, J. M. Izquierdo, M. Picón, O. Varela, “Generating Lie and Gauge Free Differential (Super)Algebras by Expanding Maurer-Cartan Forms and Chern-Simons Supergravity”. Nucl. Phys. B 662 (2003) 185. arXiv: hep-th/0212347.
- F. Izaurieta, E. Rodríguez, P. Salgado, “Expanding Lie (Super)Algebras through Abelian Semigroups”. Jour. Math. Phys. 47 (2006) 123512. arXiv: hep-th/0606215.
- D.V.Soroka,V.A.Soroka,Phys.Lett.B607(2005)302.
- D.V.Soroka,V.A.Soroka,Adv.High Energy Phys. 2009 (2009) 234147.
- P. Salgado, S. Salgado, “𝔰𝔬(D−1,1)⊕𝔰𝔬(D−1,2)direct-sum𝔰𝔬𝐷11𝔰𝔬𝐷12\mathfrak{so}(D-1,1)\oplus\mathfrak{so}(D-1,2)fraktur_s fraktur_o ( italic_D - 1 , 1 ) ⊕ fraktur_s fraktur_o ( italic_D - 1 , 2 ) algebras and gravity”, Phys. Lett. B 728 (2014) 5.
- D. Lovelock, J. Math. Phys. 12 (1971)
- L.H. Ford, Phys. Rev. D 40 (1989) 967.
- C. Armendáriz-Picon, JCAP07 (2004) 007.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.