论文标题
带有非动力背景字段的修改性奖励理论
Modified-gravity theories with nondynamical background fields
论文作者
论文摘要
我们研究了一种修改的重力理论的动力学，该理论是由扩展的长臂猿及边界术语补充的，并在文献中通过称为$ u $和$ u $和$ s^{μ的非动力背景字段违反了差异性违反。 ADM分解使我们能够将修改后的爱因斯坦方程投射到纯粹的空格曲面上，这意味着诱导的动力学三个石像的场方程。我们还基于其在先前的工作中得出的Hamiltonian的典范变量的汉密尔顿 - 雅各比运动方程。计算表明，从拉格朗日和哈密顿量方法获得的动态场方程相互一致。建立了与Brans-Dicke理论和无幽灵的大型重力的联系。
We study the dynamics of a modified-gravity theory, which is supplemented by an extended Gibbons-Hawking-York boundary term and incorporates diffeomorphism violation through nondynamical background fields denoted as $u$ and $s^{μν}$ in the literature. An ADM decomposition allows us to project the modified Einstein equations into purely spacelike hypersurfaces, which implies the field equations for the induced dynamical three-metric. We also obtain the Hamilton-Jacobi equations of motion for the canonical variables of the theory based on its Hamiltonian, which was derived in a previous work. The computations show that the dynamical field equations obtained from the Lagrangian and Hamiltonian approaches are consistent with each other. Connections to Brans-Dicke theory and ghost-free massive gravity are established.
