We present manifestly reparametrization invariant action for theory of gravity with dynamical determinant of metric. We show that it is similar to a reparametrization invariant action for unimodular gravity. We determine canonical form of the action and study structure of constraints.

中文翻译：

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具有度量动态行列式的重力重参数化不变作用


我们提出了具有度量动态行列式的引力理论的明显重参数化不变作用。我们证明它类似于单模重力的重参数化不变作用。我们确定行动的规范形式并研究约束的结构。