AI 中文总结
研究存在敏感天体时后牛顿全局守恒定律，扩展半守恒和全守恒引力理论概念，找出守恒量显式形式及系数新写法，通过与标量 - 张量理论结果比较证明方法适用性。
AI 中文摘要
参数化后牛顿（PPN）方法是用于进行弱场引力理论无关测试以及限制与爱因斯坦理论可能偏差的先进形式体系。在此框架内，全局守恒定律对动力学计算和参数意义赋予很有用。本文将半守恒和全守恒引力理论概念扩展到包含致密天体物理物体被建模为对其局部环境敏感质量的情况，这与违反强等效原理的理论相关。我们发现存在此类敏感性时全局守恒量仍可存在，并找出其存在时的显式形式。我们确定了在引力理论存在敏感天体时有守恒量时进入PPN度规系数的新写法，并通过与标量 - 张量引力理论中的已知结果比较来证明我们方法的适用性。
英文摘要
The parameterized post-Newtonian (PPN) approach is the state of the art formalism for performing theory independent tests of weak-field gravity, and for constraining possible deviations from Einstein's theory. Within this framework, global conservation laws are useful for the calculation of dynamics and for giving meaning to parameters. In this paper we extend the concept of semi-conservative and fully-conservative theories of gravity to include situations in which compact astrophysical bodies are modeled as masses that are sensitive to their local environment, as relevant for theories that violate the strong equivalence principle. We find that globally conserved quantities can still exist in the presence of such sensitivities, and find their explicit forms when they do. We identify new ways of writing the coefficients that enter into the PPN metric when a theory of gravity admits conserved quantities in the presence of a sensitive body, and demonstrate the applicability of our approach by comparing it to known results in scalar-tensor theories of gravity.
Comments23 pages
