论文标题
Cuscuton Gravity理论可能解决了Empress VIII的氦气异常
A Possible Solution to the Helium Anomaly of EMPRESS VIII by Cuscuton Gravity Theory
论文作者
论文摘要
我们讨论了基于Cuscuton重力理论的宇宙学,以解决Empress合作报告的观察性$^4 $ he丰度的异常。我们发现,弗里德曼方程中的引力常数$ g _ {\ rm cos} $应该小于牛顿常数$ {g _ {\ rm n}} $,以至于$ {Δg_{Δg_{\ rm n}}}}}/{g _ { cos} -g _ {\ rm n})/{g _ {g _ {\ rm n}} = -0.085 _ { - 0.028}^{+0.026} \ quad(68 \%\%\ text {c.l.})$ in Big-Bang nucleosynthththththththththththththemanthemosynththththththththe n}} = 0 $在95〜 $ \%\ text {c.l.为了适合数据,我们获得了一个负质量的负质量,该质量是一个非动力标量字段,带有Planck-Mass等级为$ \ sim- {\ Mathcal {o}}}(1){M _ {\ rm pl}^2}^2}^2}(μ/{0.5 m _米{0.5 m _ {\ rm pl}} $μ$。这一事实可能表明需要进行修改的重力理论,例如具有二次潜力的库斯卡顿重力理论,可以看作是低能量的ho树霍瓦瓦 - lifshitz重力,并可能给出量子重力的迹象。
We discuss cosmology based on the cuscuton gravity theory to resolve the anomaly of the observational $^4$He abundance reported by the EMPRESS collaboration. We find that the gravitational constant $G_{\rm cos}$ in Friedmann equation should be smaller than the Newton's constant ${G_{\rm N}}$ such that ${ΔG_{\rm N}}/{G_{\rm N}} \equiv (G_{\rm cos}-G_{\rm N})/{G_{\rm N}} = -0.085_{-0.028}^{+0.026} \quad(68 \% \text { C.L. })$ in terms of big-bang nucleosynthesis, which excludes ${ΔG_{\rm N}}=0$ at more than 95~$\% \text { C.L. }$ To fit the data, we obtain a negative mass squared of a non-dynamical scalar field with the Planck-mass scale as $\sim - {\mathcal{O}}(1) {M_{\rm PL}^2} (μ/{0.5 M_{\rm PL}})^{4}$ with the cuscuton mass parameter $μ$. This fact could suggest the need for modified gravity theories such as the cuscuton gravity theory with a quadratic potential, which can be regarded as the low-energy Hořava-Lifshitz gravity and might give a hint of quantum gravity.