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Cosmological solutions with massive gravitons in the bigravity theory

机译:双引力理论中具有引力子的宇宙学解

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We present solutions describing homogeneous and isotropic cosmologies in the massive gravity theory with two dynamical metrics recently proposed in arXiv:1109.3515 and maintained to be ghost free. These solutions can be spatially open, closed, or flat, and at early times they are sourced by the perfect fluid, while the graviton mass typically manifests itself at late times by giving rise to a cosmological term. In addition, there are also exotic solutions, for which already at early times, when the matter density is high, the contribution of the graviton mass to the energy density is negative and large enough to screen that of the matter contribution. The total energy can then be negative, which may result in removing the initial singularity. For special parameter values there are also solutions for which the two metrics effectively decouple and evolve independently of each other. In the limit where one of the gravitational coupling constant vanishes, such special solutions reduce to those found in arXiv:1107.5504 within the theory where one of the metrics is flat.
机译:我们提出的解决方案利用最近在arXiv:1109.3515中提出并保持为无鬼影的两个动力学指标,描述了质量重力理论中的均质和各向同性宇宙学。这些解决方案可以在空间上开放,封闭或平坦,并且在早期它们是由完美流体提供的,而引力子质量通常在后期通过引起宇宙学术语而表现出来。此外,还有一些奇特的解决方案,早在物质密度高时就已经解决了,引力子质量对能量密度的贡献是负的,并且足够大,足以掩盖物质的贡献。然后,总能量可以为负,这可能导致消除初始奇点。对于特殊的参数值,还有一些解决方案,两个指标可以有效地相互独立地解耦和演化。在重力耦合常数之一消失的极限中,这种特殊的解决方案减少到在其中一种度量是平坦的理论中arXiv:1107.5504中找到的解决方案。

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