de Sitter group and Einstein-Hilbert Lagrangian

Details de Sitter group and Einstein-Hilbert Lagrangian de Sitter group and Einstein-Hilbert Lagrangian

2006-03-25

arxiv.org/abs/gr-qc/0603100v2

Phys.Rev.D70:124024,2004

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages

Scientific paper

10.1103/PhysRevD.70.124024

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 $\kappa$ and $\lambda$ of Einstein-Hilbert Lagrangian, appear as integration constants in such a way that $\kappa$ has been found to be linked with the topological Nieh-Yan density of $U_{4}$ space.

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