de Sitter group and Einstein-Hilbert Lagrangian

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 $\kappa$ 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.

14 pages

References in corpus (2)

• Gravitational Constant and Torsion
• $\theta$-Term and Cosmological Constant from CJD Action

Cited by in corpus (2)

• De Sitter spacetimes with torsion in the model of dS gauge theory of gravity
• On Torsion-free Vacuum Solutions of the Model of de Sitter Gauge Theory of Gravity (II)