论文标题
二次非金属重力理论的主要约束分类
Classification of Primary Constraints of Quadratic Non-Metricity Theories of Gravity
论文作者
论文摘要
我们进行了五参数二次非金属理论的五参数家族的ADM分解，并研究了它们的共轭动量。在系统地识别所有可能在参数上施加的可能条件以使不同的主要约束集中出现后，我们发现五参数理论空间可以根据存在或不存在主要约束，将五参数理论空间分为九个不同的部门。该分类允许将某些类别的理论视为非物理的类别，并邀请对其余部门进行进一步的研究，这可能包含现象学上有趣的一般相对性修改。
We perform the ADM decomposition of a five-parameter family of quadratic non-metricity theories and study their conjugate momenta. After systematically identifying all possible conditions which can be imposed on the parameters such that different sets of primary constraints arise, we find that the five-parametric theory space can be compartmentalized into nine different sectors, based on the presence or absence of primary constraints. This classification allows to dismiss certain classes of theories as unphysical and invites further investigations into the remaining sectors, which may contain phenomenologically interesting modifications of General Relativity.
