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arXiv 0905.3563hep-thastro-ph.COgr-qchep-ph
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Horava-Lifshitz引力中作为积分常数的暗物质

Dark matter as integration constant in Horava-Lifshitz gravity

Shinji Mukohyama

摘要:

在Horava最近提出的非相对论引力理论中,哈密顿约束不是在空间每个点上满足的局部方程,而是在整个空间上积分的方程。整体哈密顿约束比局部哈密顿约束的限制更少,并且允许比广义相对论更丰富的解集。我们表明,一个组件,表现得像无压灰尘出现作为一个“积分常数”的动力学方程和动量约束方程。因此,霍拉瓦-利夫希茨引力的红外极限的经典解可以模拟广义相对论加上冷暗物质。

英文摘要:

In the non-relativistic theory of gravitation recently proposed by Horava, the Hamiltonian constraint is not a local equation satisfied at each spatial point but an equation integrated over a whole space. The global Hamiltonian constraint is less restrictive than its local version, and allows a richer set of solutions than in general relativity. We show that a component which behaves like pressureless dust emerges as an "integration constant" of dynamical equations and momentum constraint equations. Consequently, classical solutions to the infrared limit of Horava-Lifshitz gravity can mimic general relativity plus cold dark matter.

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