It is measured by Wang et al. That a pulse advancement shift of 62(±1)ns gives from the shift an effective group velocity index of n g=-310(±5). A signal advancement shift was predicted by Einstein if the si...It is measured by Wang et al. That a pulse advancement shift of 62(±1)ns gives from the shift an effective group velocity index of n g=-310(±5). A signal advancement shift was predicted by Einstein if the signal propagation could exceed the vacuum speed of light. But Einstein was negative for this possibility, and hence negative the possibility about greater than the vacuum speed of light. Therefore, Einsteins prediction was testified negatively by the experiment of Wang et al. If we use a new structure of the spacetime, the Finsler spacetime d s 4, then the spacelike and the timelike can be equivalent on the new structure.展开更多
The surface density Σ-map and the convergence κ-map of Bullet Cluster 1E0657-558 show that the center of baryonic matters separates from the center of gravitational force,and the distribution of gravitational force ...The surface density Σ-map and the convergence κ-map of Bullet Cluster 1E0657-558 show that the center of baryonic matters separates from the center of gravitational force,and the distribution of gravitational force do not possess spherical symmetry.This hints that a modified gravity with difference to Newtonian inverse-square law at large scale,and less symmetry is worth investigating.In this paper,we study the dynamics in Randers-Finsler spacetime.The Newtonian limit and gravitational deflection of light in a Rindler-type potential is focused in particular.It is shown that the convergence in Finsler spacetime could account for the observations of Bullet Cluster.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
文摘It is measured by Wang et al. That a pulse advancement shift of 62(±1)ns gives from the shift an effective group velocity index of n g=-310(±5). A signal advancement shift was predicted by Einstein if the signal propagation could exceed the vacuum speed of light. But Einstein was negative for this possibility, and hence negative the possibility about greater than the vacuum speed of light. Therefore, Einsteins prediction was testified negatively by the experiment of Wang et al. If we use a new structure of the spacetime, the Finsler spacetime d s 4, then the spacelike and the timelike can be equivalent on the new structure.
基金Supported by the National Natural Science Foundation of China under Grant Nos. 10875129 and 11075166
文摘The surface density Σ-map and the convergence κ-map of Bullet Cluster 1E0657-558 show that the center of baryonic matters separates from the center of gravitational force,and the distribution of gravitational force do not possess spherical symmetry.This hints that a modified gravity with difference to Newtonian inverse-square law at large scale,and less symmetry is worth investigating.In this paper,we study the dynamics in Randers-Finsler spacetime.The Newtonian limit and gravitational deflection of light in a Rindler-type potential is focused in particular.It is shown that the convergence in Finsler spacetime could account for the observations of Bullet Cluster.
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.
