论文标题
Palatini形式主义中的广义能量摩托明场重力
Generalized Energy-Momentum-Squared Gravity in the Palatini Formalism
论文作者
论文摘要
我们研究了Palatini形式主义中的通用版本的能量摩托素平方重力（EMSG）。该理论允许在该理论的一般作用中以$ t_ {αβ} t^{αβ} $构建的标量存在。我们在Palatini框架中研究了该理论最通用的形式，并提出了基础场方程。大规模测试粒子的运动方程已得出。探索了该理论的弱场极限，并获得了泊松方程的广义版本。此外，我们以弹跳解决方案的重点探索了理论的宇宙学行为。引入了一些由拉格朗日密度$ \ mathcal {l} = r+βr^2+ηt_{μν} t^{μν} $给出的特定Palatini EMSG模型的新的弹跳解决方案。我们表明，只有$η> 0 $的情况才能导致可行的宇宙反弹。
We study the generalized version of energy-momentum squared gravity (EMSG) in the Palatini formalism. This theory allows the existence of a scalar constructed with energy-momentum tensor as $T_{αβ}T^{αβ}$ in the generic action of the theory. We study the most general form of this theory in the Palatini framework and present the underlying field equations. The equations of motion of a massive test particle have been derived. The weak field limit of the theory is explored and the generalized version of the Poisson equation is obtained. Moreover, we explore the cosmological behavior of the theory with emphasis on bouncing solutions. Some new bouncing solutions for the specific Palatini EMSG model given by the Lagrangian density $\mathcal{L}=R+βR^2+ηT_{μν}T^{μν}$ are introduced. We show that only the case $η>0$ can lead to viable cosmic bounce.
