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Non-perturbative Massive de Sitter Solutions

机译:非扰动大规模德西特解决方案

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We discuss non-perturbative dynamics of massive gravity in de Sitter space via gravitational Higgs mechanism. We argue that enhanced local symmetry and null (ghost) state at (below) the perturbative Higuchi bound are mere artifacts of not only linearization but also assuming the Fierz-Pauli mass term. We point out that, besides de Sitter, there are vacuum solutions where the space asymptotically is de Sitter both in the past and in the future, the space first contracts, this contraction slows down, and then reverses into expansion, so there is an epoch where the space appears to be (nearly) flat, even though the vacuum energy density is non-vanishing. We confirm this by constructing a closed-form exact solution to full non-perturbative equations of motion for a "special" massive de Sitter case. We give a formula for the "critical" mass above which such solutions apparently do not exist. For the Fierz-Pauli mass term this "critical" mass coincides with the perturbative Higuchi bound, and the former serves as the non-perturbative reinterpretation of the latter. We argue that, notwithstanding the perturbative ghost, non-perturbatively there is no "instability". Instead, there are additional vacuum solutions that may have interesting cosmological implications, which we briefly speculate on.
机译:我们通过重力希格斯机制讨论了德西特空间中重力的非摄动动力学。我们认为,增强的局部对称性和摄动Higuchi界(下方)处的零(幽灵)状态不仅是线性化的假象,而且还假设有Fierz-Pauli质量项。我们指出,除了de Sitter以外,还有真空解决方案,在过去和将来,空间都渐近地为de Sitter,空间首先收缩,这种收缩减慢,然后反转为膨胀,因此存在一个时代即使真空能量密度没有消失,空间似乎(几乎)平坦的位置。我们通过为“特殊的”大规模de Sitter情形构造完整的非扰动运动方程的闭式精确解来确认这一点。我们给出“临界”质量的公式,在该公式上显然不存在这样的解决方案。对于Fierz-Pauli质量术语,此“临界”质量与摄动Higuchi界线重合,并且前者充当后者的非摄动重新解释。我们认为,尽管有摄动的鬼影,但没有摄动的情况下没有“不稳定”。取而代之的是,还有其他可能对宇宙学产生影响的真空解决方案,我们对此进行了简短的推测。

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