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de Sitter group and Einstein-Hilbert Lagrangian

Prasanta Mahato
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Abstract

Axial vector torsion in the Einstein-Cartan space $U_{4}$ is considered here. By picking a particular term from the SO(4,1) Pontryagin density and then modifying it in a SO(3,1) invariant way, we get a Lagrangian density with Lagrange multipliers. Then considering torsion and torsion-less connection as independent fields, it has been found that $κ$ and $λ$ of Einstein-Hilbert Lagrangian, appear as integration constants in such a way that $κ$ has been found to be linked with the topological Nieh-Yan density of $U_{4}$ space.

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Prasanta Mahato. 2006-03-28. de Sitter group and Einstein-Hilbert Lagrangian. https://doi.org/10.1103/physrevd.70.124024

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