论文标题
用对角线公制
Relativistic star solutions in Mass-varying Massive Gravity with a diagonal metric
论文作者
论文摘要
我们使用对角度度量研究了质量变化的大量重力（MVMG）中的相对论星溶液。 Contrary to the intuition that there is no fundamental difference between diagonal metric and non-diagonal metric solutions regarding relativistic stars, we find that with a diagonal metric, well-behaved relativistic star solutions may not exist except for trivial ones in which the graviton mass is a constant, whereas non-trivial relativistic star solutions had been found in MVMG with a non-diagonal metric.原因是，使用对角线度量，该场方程构成了一个差分指数-2的差分 - 代数方程的系统，并具有两个额外的约束，这些系统对系统具有重大影响，在大多数情况下，具有非平常重力质量构型不可能。
We investigate relativistic star solutions in Mass-Varying Massive Gravity (MVMG) with a diagonal metric. Contrary to the intuition that there is no fundamental difference between diagonal metric and non-diagonal metric solutions regarding relativistic stars, we find that with a diagonal metric, well-behaved relativistic star solutions may not exist except for trivial ones in which the graviton mass is a constant, whereas non-trivial relativistic star solutions had been found in MVMG with a non-diagonal metric. The reason is that with a diagonal metric, the field equations constitute a system of differential-algebraic equations of differential index-2 with two extra constraints that have a significant influence on the system, rendering the relativistic star solution with a non-trivial graviton mass configuration impossible in most cases.
