论文标题

改良的地质运动方程,用于替代理论重力中紧凑型物体的运动

Modified geodesic equations of motion for compact bodies in alternative theories gravity

论文作者

Taherasghari, Fatemeh, Will, Clifford M.

论文摘要

我们为在一系列替代性重力理论中的非旋转,自我修复相互作用的体系的系统中得出精确的,修改的地球方程。我们使用eardley提出的处方将自我重力的影响纳入重力结合的身体中,其中它们的质量可能取决于由辅助标量,矢量或张量场构建的这种理论引入的辅助标量构建的数量,并在每个身体的附近评估。方程式的形式独立于所选理论的字段方程。在质量严格恒定的情况下,方程将降低为常规相对论的常规测量方程。这些方程可能是用于推导紧凑型物体运动方程式的有用工具,以在替代性重力理论中高高的牛顿后订单。

We derive exact, modified geodesic equations for a system of non-spinning, self-gravitating interacting bodies in a class of alternative theories of gravity to general relativity. We use a prescription proposed by Eardley for incorporating the effects of self-gravity within gravitationally bound bodies, in which their masses may depend on invariant quantities constructed from the auxiliary scalar, vector or tensor fields introduced by such theories, evaluated in the vicinity of each body. The forms of the equations are independent of the field equations of the chosen theory. In the case where the masses are strictly constant, the equations reduce to the conventional geodesic equations of general relativity. These equations may be useful tools for deriving equations of motion for compact bodies to high post-Newtonian orders in alternative theories of gravity.

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