论文标题
嵌入重力的场极限
Weak field limit for embedding gravity
论文作者
论文摘要
我们研究了在背景中嵌入重力方程的扰动理论，其校正嵌入功能相对于校正平坦度量是线性的。解决线性化场方程后剩余的任意性是通过假设解决方案在二阶处静态的。获得非线性微分方程，这使得在给出背景嵌入的情况下，可以找到球形对称情况的重力潜力。提出了通过半径的一个函数参数化的球形对称背景的明确形式。结果表明，可以选择该功能的方式，即引力电位与在银河系中观察到的暗物质分布非常吻合。
We study a perturbation theory for embedding gravity equations in a background for which corrections to the embedding function are linear with respect to corrections to the flat metric. The arbitrariness remaining after solving the linearized field equations is fixed by an assumption that the solution is static in the second order. A nonlinear differential equation is obtained, which makes it possible to find the gravitational potential for a spherically symmetric case if a background embedding is given. An explicit form of a spherically symmetric background parameterized by one function of radius is proposed. It is shown that this function can be chosen in such a way that the gravitational potential is in a good agreement with the observed distribution of dark matter in a galactic halo.
