拟Einstein-Cartan-Kibble-Sciama（ECKS）引力
Mimetic Einstein-Cartan-Kibble-Sciama (ECKS) gravity
摘要：
在本文中，我们用微分形式的一阶形式表示引力的模拟理论，即，Einstein-Cartan-Kibble-Sciama（ECKS）引力的模拟版本。我们考虑不同的可能性如何扭转的影响，共形变换，并讨论这是如何转化为两个不同的共形变换之间的插值的自旋连接，参数化的零形式参数$λ$。我们证明，无论选择的类型的变换，在这种设置扭转仍然是一个非传播领域。我们还讨论了拟应力-能量张量的守恒性，并证明了总应力-能量张量的迹不是零，而是依赖于$λ$和时空挠率的值。
英文摘要：
In this paper, we formulate the Mimetic theory of gravity in first-order formalism for differential forms, i.e., the mimetic version of Einstein-Cartan-Kibble-Sciama (ECKS) gravity. We consider different possibilities on how torsion is affected by conformal transformations and discuss how this translates into the interpolation between two different conformal transformations of the spin connection, parameterized with a zero-form parameter $λ$. We prove that regardless of the type of transformation one chooses, in this setting torsion remains as a non-propagating field. We also discuss the conservation of the mimetic stress-energy tensor and show that the trace of the total stress-energy tensor is not null but depends on both, the value of $λ$ and spacetime torsion.
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