In this paper, we find some new homogeneous manifolds G/H admitting non-Riemannian EinsteinRanders metrics when G is the compact simple Lie group E6, or E7 or E8. In the beginning, we prove that these homogeneous mani...In this paper, we find some new homogeneous manifolds G/H admitting non-Riemannian EinsteinRanders metrics when G is the compact simple Lie group E6, or E7 or E8. In the beginning, we prove that these homogeneous manifolds admit Riemannian Einstein metrics. Based on these metrics, we obtain non-Riemannian Einstein Randers metrics on them.展开更多
TURKEY Police cordon off Sultanahmet Square in Istanbul on January 12 after a suicide explosion killed 10 people and injured 15 others.The Turkish Government said that the socal ed"Islamic State"group was be...TURKEY Police cordon off Sultanahmet Square in Istanbul on January 12 after a suicide explosion killed 10 people and injured 15 others.The Turkish Government said that the socal ed"Islamic State"group was behind the attackTHE UNITED STATES People walk past Macy’s flagship store in Manhattan,New York City,on January 12.展开更多
We present Finslerian perturbation for the ∧CDM model, which breaks the isotropic symmetry of the universe. The analysis on the Killing vectors shows that the Randers-Finsler spacetime breaks the isotropic symmetry e...We present Finslerian perturbation for the ∧CDM model, which breaks the isotropic symmetry of the universe. The analysis on the Killing vectors shows that the Randers-Finsler spacetime breaks the isotropic symmetry even ff the scalar perturbations of the FRW metric vanish. In Randers-Finsler spacetime, the modified geodesic equation deduces a modified Boltzmann equation. We propose a perturbational version of the gravitational field equation in Randers-Finsler spacetime, where we have omitted the curvature tensor that does not belong to the base space of the tangent bundle. The gravitational field equations for the gravitational wave are also presented. The primordial power spectrum of the gravitational wave is investigated. We show that the primordial power spectrum for super-horizon perturbations is unchanged. For sub-horizon perturbations, however, the power spectrum is modified.展开更多
基金supported by National Natural Science Foundation of China(Grant Nos.10971104,11001133 and 11221091)
文摘In this paper, we find some new homogeneous manifolds G/H admitting non-Riemannian EinsteinRanders metrics when G is the compact simple Lie group E6, or E7 or E8. In the beginning, we prove that these homogeneous manifolds admit Riemannian Einstein metrics. Based on these metrics, we obtain non-Riemannian Einstein Randers metrics on them.
文摘TURKEY Police cordon off Sultanahmet Square in Istanbul on January 12 after a suicide explosion killed 10 people and injured 15 others.The Turkish Government said that the socal ed"Islamic State"group was behind the attackTHE UNITED STATES People walk past Macy’s flagship store in Manhattan,New York City,on January 12.
基金Supported by National Natural Science Foundation of China under Grant Nos.11375203 and 11305181
文摘We present Finslerian perturbation for the ∧CDM model, which breaks the isotropic symmetry of the universe. The analysis on the Killing vectors shows that the Randers-Finsler spacetime breaks the isotropic symmetry even ff the scalar perturbations of the FRW metric vanish. In Randers-Finsler spacetime, the modified geodesic equation deduces a modified Boltzmann equation. We propose a perturbational version of the gravitational field equation in Randers-Finsler spacetime, where we have omitted the curvature tensor that does not belong to the base space of the tangent bundle. The gravitational field equations for the gravitational wave are also presented. The primordial power spectrum of the gravitational wave is investigated. We show that the primordial power spectrum for super-horizon perturbations is unchanged. For sub-horizon perturbations, however, the power spectrum is modified.
