论文标题
广义的Rastall重力及其对紧凑物体的影响
Generalized Rastall's gravity and its effects on compact objects
论文作者
论文摘要
我们提出了Rastall的重力的概括，在该重力中，能量弹药张量的保护定律被改变，结果，将能量弹药张量的痕迹与RICCI标量一起考虑到协方差衍生物的表达中。之后，我们获得该理论中的场方程，并通过考虑球形对称时空来解决它们。我们表明，外部溶液具有两种可能的解决方案，在广义rastall的重力中真空中具有球形对称性，我们明确分析了其中之一。与常数$ k =8πg$相反的概括在一般相对论中具有重力参数$ k $，取决于rastall常数$α$。作为应用程序，我们使用现实的状态方程（EOS）作为输入对理论对中子恒星的影响进行仔细分析。我们的结果表明，在两个代表EOS中获得了中子恒星轮廓的重要差异。
We present a generalization of Rastall's gravity in which the conservation law of the energy-momentum tensor is altered, and as a result, the trace of the energy-momentum tensor is taken into account together with the Ricci scalar in the expression for the covariant derivative. Afterwards, we obtain the field equations in this theory and solve them by considering a spherically symmetric space-time. We show that the external solution has two possible classes of solutions with spherical symmetry in the vacuum in generalized Rastall's gravity, and we analyse one of them explicitly. The generalization, in contrast to constant value $k=8πG$ in general relativity, has a gravitational parameter $k$ that depends on the Rastall constant $α$. As an application, we perform a careful analysis of the effects of the theory on neutron stars using realistic equations of state (EoS) as input. Our results show that important differences on the profile of neutron stars are obtained within two representatives EoS.
