Cosmological matching conditions and galilean genesis in Horndeski's theory
Cosmological matching conditions and galilean genesis in Horndeski's theory
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DOI：
10.1088/1475-7516/2014/03/008
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发表时间：
2014-01
影响因子：
6.4
通讯作者：
Sakine Nishi;Tsutomu Kobayashi;Norihiro Tanahashi;Masahide Yamaguchi
中科院分区：
文献类型：
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作者：
Sakine Nishi;Tsutomu Kobayashi;Norihiro Tanahashi;Masahide Yamaguchi
我们推导了霍恩德斯基最一般的二阶标量张量理论中均匀和各向同性背景以及线性扰动的宇宙学匹配条件。在广义相对论中，匹配是通过外在曲率在过渡超曲面上连续的方式完成的。该过程被推广，以便将标量和重力动力学项的混合纳入 Horndeski 理论的场方程中。我们的匹配条件具有广泛的应用，包括伽利略起源和反弹场景，其中稳定的零能量条件违规解决方案发挥着核心作用。我们演示了如何在伽利略创世场景中使用我们的匹配条件。在此过程中，我们扩展了之前的起源模型，并提供了理论的统一描述，承认从闵可夫斯基时空开始扩展的解决方案。
We derive the cosmological matching conditions for the homogeneous and isotropic background and for linear perturbations in Horndeski's most general second-order scalar-tensor theory. In general relativity, the matching is done in such a way that the extrinsic curvature is continuous across the transition hypersurface. This procedure is generalized so as to incorporate the mixing of scalar and gravity kinetic terms in the field equations of Horndeski's theory. Our matching conditions have a wide range of applications including the galilean genesis and the bounce scenarios, in which stable, null energy condition violating solutions play a central role. We demonstrate how our matching conditions are used in the galilean genesis scenario. In doing so, we extend the previous genesis models and provide a unified description of the theory admitting the solution that starts expanding from the Minkowski spacetime.