Lorentz Chern-Simons terms in Bianchi cosmologies and the cosmic no-hair conjecture

The theory describing gravity and the Kalb-Ramond axion field with topological Lorentz Chern-Simons coupling is considered. The topological coupling induces an additional term in the energy-momentum tensor, which in general can lead to violations of the cosmic no-hair conjecture. These violations are shown explicitly by analyzing the solutions in a diagonal Bianchi type-II geometry.