Cosmology of the proxy theory to massive gravity
Cosmology of the proxy theory to massive gravity
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DOI：
10.1103/physrevd.89.103008
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发表时间：
2014-03
影响因子：
5
通讯作者：
Lavinia Heisenberg;Rampei Kimura;Kazuhiro Yamamoto
中科院分区：
文献类型：
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作者：
Lavinia Heisenberg;Rampei Kimura;Kazuhiro Yamamoto
在本文中，我们非常仔细地研究了de Rham和Heisenberg [Phys. Rev. D 84，043503（2011）]中获得的大质量引力代理理论中的宇宙学。这个代理理论是通过协变质量引力的退耦极限拉格朗日量而构造的，它代表了Horndeski标量张量理论的一个子类。因此，这种协变统一了两类重要的修正引力理论，即大质量引力理论和Horndeski理论。我们超越了在de Rham和Heisenberg [Phys. Rev. D 84，043503（2011）]中研究的区域，并表明该理论不允许任何均匀和各向同性的自加速解。我们说明，唯一的吸引子的解决方案是平坦的闵可夫斯基解决方案，因此，这个理论是一个暗能量模型的吸引力。我们还表明，德西特解的不存在与位移对称性破缺相互作用的存在密切相关。
In this paper, we scrutinize very closely the cosmology in the proxy theory to massive gravity obtained in de Rham and Heisenberg [Phys. Rev. D 84, 043503 (2011)]. This proxy theory was constructed by covariantizing the decoupling limit Lagrangian of massive gravity, and it represents a subclass of Horndeski scalar-tensor theory. Thus, this covariantization unifies two important classes of modified gravity theories, namely, massive gravity and Horndeski theories. We go beyond the regime which was studied in de Rham and Heisenberg [Phys. Rev. D 84, 043503 (2011)] and show that the theory does not admit any homogeneous and isotropic self-accelerated solutions. We illustrate that the only attractor solution is the flat Minkowski solution; hence, this theory is less appealing as a dark energy model. We also show that the absence of de Sitter solutions is tightly related to the presence of shift symmetry breaking interactions.