2+1 dimensional solution of Einstein Cartan equations

Hortacsu, M.; Ozcelik, H. T.; Ozdemir, N.

2+1 dimensional solution of Einstein Cartan equations

Authors

Hortacsu, M.

Ozcelik, H. T.

Ozdemir, N.

Description

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.
6 pages