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arXiv 0904.3899hep-th
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具有Lorentz不变破坏的膜世界上的修正引力方程

Modified Gravitational Equations on Braneworld with Lorentz Invariant Violation

A. Arianto, Freddy P. Zen, Bobby E. Gunara

摘要:

本文给出了在体时空中洛仑兹不变量破坏情形下描述四维膜世界的修正引力方程。它包含了膜能量动量张量的一个迹部分,所有项的系数描述了体时空的洛伦兹破坏效应。作为一个应用,我们将这种形式主义应用于宇宙学的研究。相对于膜上的标准有效弗里德曼方程,洛伦兹不变性的破坏导致了这个方程的修改,这可能导致重大的物理后果。特别地,膜上的有效弗里德曼方程明确地依赖于膜物质的状态方程和洛伦兹破坏参数。我们证明了即使在低能量下,五维外尔曲率的分量也与膜上的物质有关。我们还发现,对理论参数的限制取决于膜物质能量分量的状态方程。最后,模型的稳定性取决于初始条件和参数$β_i$的具体选择。

英文摘要:

The modified gravitational equations to describe a four-dimensional braneworld in the case with the Lorentz invariant violation in a bulk spacetime is presented. It contains a trace part of the brane energy-momentum tensor and the coefficients of all terms describe the Lorentz violation effects from the bulk spacetime. As an application, we apply this formalism to study cosmology. In respect to standard effective Friedmann equations on the brane, Lorentz invariance violation in the bulk causes a modification of this equations that can lead to significant physical consequences. In particular, the effective Friedmann equation on the brane explicitly depends on the equation of state of the brane matter and the Lorentz violating parameters. We show that the components of five-dimensional Weyl curvature are related to the matter on brane even at low energies. We also find that the constraints on the theory parameters are depend on the equation of state of the energy components of the brane matter. Finally, the stability of the model depend on the specific choices of initial conditions and the parameters $β_i$.

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