论文标题
$ f（r，{\ bf t}^{（n）}）中的线性化场方程和额外力
Linearized Field Equations and Extra Force in $f(R,{\bf T}^{(n)})$ Extended Gravity
论文作者
论文摘要
我们考虑使用Lagrangian $ \ Mathcal {l} = f（r，{\ bf t}^{（n）}）$的扩展重力理论，其中$ {\ bf t}^{（n）} $是$ 2N $ - $ 2N $ - $ 2N $的订单订单的订单订单订单的能量莫诺·莫莫·莫莫·莫莫·莫莫·莫莫·莫莫·莫莫·莫莫·莫莫·莫莫·莫诺姆·纳入了订单。当$ n = 1 $时，该理论将减少到$ f（r，t）$重重，其中$ t $帐户用于轨迹量。我们研究了引力波偏振模式，从中导致当物质包含最小与几何形状耦合的动态标量场时，就一般相对性而产生进一步的极化模式。最后，我们证明了测试颗粒的运动是非晶格的，我们明确地获得了额外的力量。
We consider an extended theory of gravity with Lagrangian $\mathcal{L} = f(R,{\bf T}^{(n)})$, with ${\bf T}^{(n)}$ being a $2n$-th order invariant made of contractions of the energy-momentum tensor. When $n=1$ this theory reduces to $f(R,T)$ gravity, where $T$ accounts for the trace of the energy-momentum tensor. We study the gravitational wave polarization modes, from which it results that when the matter Lagrangian contains dynamical scalar fields minimally coupled to the geometry, further polarization modes arise with respect to General Relativity. Finally we show that the motion for test particles is non-geodesic and we explicitly obtain the extra-force.
