论文标题
$ f（ϕ，t）$重力理论的观察性约束
Observational Constraints on the $f(ϕ,T)$ gravity theory
论文作者
论文摘要
我们通过在标量场$ ϕ $和能量动量张力$ t $之间引入直接耦合项来调查重力框架中的通货膨胀。我们考虑一类充气电位（i）$ v_0 ϕ^p e^{ - λϕ} $，（ii）$ v_0 \ frac {λϕ^p} {1+λϕ^p} $，并研究了修改后的重力参数$α$α$α$和$β$对untraton动力学的敏感性。我们在上述$ f（ϕ，t）$重力理论中得出潜在的缓慢滚动参数，标量光谱指数$ n_s $以及张量与量表$ r $ $ r $，并分析了以下三个选择重力参数的选择〜（i）案例I： $β\ neq 0 $〜并对$ t^2 $项，（iii）案例III：〜$α\ neq 0 $和$β\ neq 0 $，即保留所有条款。对于一系列潜在参数，我们使用WMAP和PLANCK数据在上述三种情况下每种情况下都会获得$α$和$β$的约束。
We investigate inflation in modified gravity framework by introducing a direct coupling term between a scalar field $ϕ$ and the trace of the energy momentum tensor $T$ as $f(ϕ,T) = 2 ϕ( κ^{1/2} αT + κ^{5/2} βT^2) $ to the Einstein-Hilbert action. We consider a class of inflaton potentials (i) $V_0 ϕ^p e^{-λϕ}$, (ii) $V_0\frac{ λϕ^p}{1+λϕ^p}$ and investigate the sensitivity of the modified gravity parameters $α$ and $β$ on the inflaton dynamics. We derive the potential slow-roll parameters, scalar spectral index $n_s$, and tensor-to-scalar ratio $r$ in the above $f(ϕ,T)$ gravity theory and analyze the following three choices of modified gravity parameters~(i) Case I:~ $α\neq 0, ~β=0$ i.e. neglecting higher order terms, (ii) Case II:~ $α=0$, $β\neq 0$~ and do the analysis for $T^2$ term, (iii) Case III:~ $α\neq 0$ and $β\neq 0$ i.e. keeping all terms. For a range of potential parameters, we obtain constraints on $α$ and $β$ in each of the above three cases using the WMAP and the PLANCK data.
