论文标题
违反公制重力理论的均等
Parity Violating Metric-Affine Gravity Theories
论文作者
论文摘要
我们研究了爱因斯坦 - 希尔伯特（Einstein-Hilbert Action）给出的违反度量疗法的重力理论，以及真空中所谓的霍尔斯特任期。我们发现，对于Barbero-immirzi参数的一定值，总动作在仿射连接的特定转换下具有显着的不变性。我们证明，在所有情况下，有了适当的量规选择，连接都会降低到Levi-Civita One，并且该理论证明与真空中的一般相对性相同。随后，我们概括了讨论，并分析了公制式$ f（r）$重力加上霍尔斯特期的情况。特别是，我们表明，对于$ f'（r）\ neq \ text {constant} $，理论结果是相当于公制的无扭曲标量表模型。还讨论了上述模型的物质耦合以及明确的示例和应用。
We study a parity violating Metric-Affine gravitational theory given by the Einstein-Hilbert action plus the so-called Holst term in vacuum. We find out that for a certain value of the Barbero-Immirzi parameter the total action possesses a remarkable invariance under particular transformations of the affine connection. We prove that in all cases, with appropriate gauge choices, the connection reduces to the Levi-Civita one and that the theory turns out to be equivalent to general relativity in vacuum. Subsequently, we generalize our discussion and analyze the case of Metric-Affine $f(R)$ gravity plus the Holst term. In particular, we show that for $f'(R) \neq \text{constant}$ the theory results to be on-shell equivalent to a metric-compatible torsionless Scalar-Tensor model. Matter coupling of the aforementioned models is also discussed, together with explicit examples and applications.
