论文标题
最小修饰的重力和辅助约束：哈密顿建筑
Minimally modified gravity with an auxiliary constraint: a Hamiltonian construction
论文作者
论文摘要
直接与一般的哈密顿人一起以$ 3+1 $分解并仅保留空间协方差，我们调查了通过引入辅助约束来减少自由度的可能性。辅助约束被视为理论定义的一部分。通过一般的哈密顿分析，我们发现了哈密顿量和辅助约束的条件，该理论仅传播两个紧张的自由度。满足这些条件的理论类别可以看作是II型最小重力理论的新结构，该理论传播了相同的自由度，但不等于真空中的一般相对论。我们还通过一个具体的示例来说明我们的形式主义，并得出引力波的分散关系，这可以受到观测的约束。
Working directly with a general Hamiltonian for the spacetime metric with the $3+1$ decomposition and keeping only the spatial covariance, we investigate the possibility of reducing the number of degrees of freedom by introducing an auxiliary constraint. The auxiliary constraint is considered as part of the definition of the theory. Through a general Hamiltonian analysis, we find the conditions for the Hamiltonian as well as for the auxiliary constraint, under which the theory propagates two tensorial degrees of freedom only. The class of theories satisfying these conditions can be viewed as a new construction for the type-II minimally modified gravity theories, which propagate the same degrees of freedom of but are not equivalent to general relativity in the vacuum. We also illustrate our formalism by a concrete example, and derive the dispersion relation for the gravitational waves, which can be constrained by observations.
