2+1 dimensional solution of Einstein Cartan equations

Details 2+1 dimensional solution of Einstein Cartan equations 2+1 dimensional solution of Einstein Cartan equations

2008-07-28

arxiv.org/abs/0807.4413v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages

Scientific paper

In this work a static solution of Einstein-Cartan (EC) equations in 2+1 dimensional space-time is given by considering classical spin-1/2 field as external source for torsion of the space-time. Here, the torsion tensor is obtained from metricity condition for the connection and the static spinor field is determined as the solution of Dirac equation in 2+1 spacetime with non-zero cosmological constant and torsion. The torsion itself is considered as a non-dynamical field.

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