论文标题
在自举的牛顿重力中近似紧凑的物体：使用规范电位
Approximating compact objects in bootstrapped Newtonian gravity: use of the canonical potential
论文作者
论文摘要
我们考虑在牛顿重力的经典和非相关性的概括中，被称为自举的牛顿理论，其中包括在强烈的重力方面存在的高阶派生相互作用术语。通过现场重新定义，原始的自举牛顿动作以非线性源术语的规范牛顿形式编写。确切的分析解决方案仍然无法实现，但我们表明，可以有效地使用规范理论的扰动解决方案来得出紧凑对象的近似描述。特别是，使用规范的潜力，我们可以更直接地表明，由于理论中的非线性耦合，Arnowitt-Deser-Misner质量与（牛顿）适当的质量有所不同。在此框架中，明确重新分析了具有不同密度曲线源的一些示例。
We consider compact objects in a classical and non-relativistic generalisation of Newtonian gravity, dubbed bootstrapped Newtonian theory, which includes higher-order derivative interaction terms of the kind generically present in the strong-field regime of gravity. By means of a field redefinition, the original bootstrapped Newtonian action is written in a canonical Newtonian form with non-linear source terms. Exact analytic solutions remain unattainable, but we show that perturbative solutions of the canonical theory can be efficiently used to derive approximate descriptions of compact objects. In particular, using the canonical potential, we can more directly and generally show that the Arnowitt-Deser-Misner mass differs from the (Newtonian) proper mass due to the non-linear couplings in the theory. A few examples of sources with different density profiles are explicitly reanalysed in this framework.
