论文标题
关于$ f（q）$重力模型的生存能力
On the viability of $f(Q)$ gravity models
论文作者
论文摘要
总体而言，签约的比安奇身份使场方程与能量保护兼容，同样在$ f（r）重力理论中。我们表明，这种经典现象在对称的电触电理论中不能保证，而通常是$ f（q）$模型。我们进一步证明，节能标准等同于仿射连接的$ f（q）$理论的场外方程，除了$ f（q）=αq+β$模型外，非线性$ f（q）$模型不满足能量保存或等效于每个空间时间几何的第二个场方程；除非$ q $本身是一个常数。因此，该问题在理论中根深蒂固，支持中提供了几个出于身体动机的例子。
In general relativity, the contracted Bianchi identity makes the field equation compatible with the energy conservation, likewise in $f(R)$ theories of gravity. We show that this classical phenomenon is not guaranteed in the symmetric teleparallel theory, and rather generally $f(Q)$ model specific. We further prove that the energy conservation criterion is equivalent to the affine connection's field equation of $f(Q)$ theory, and except the $f(Q)=αQ+β$ model, the non-linear $f(Q)$ models do not satisfy the energy conservation or, equivalently the second field equation in every spacetime geometry; unless $Q$ itself is a constant. So the problem is deep-rooted in the theory, several physically motivated examples are provided in the support.
