论文标题
Stegr和应用程序中的保守数量
Conserved quantities in STEGR and applications
论文作者
论文摘要
我们通过直接应用Noether定理来得出对称远程相对性（Stegr）的对称触发法（Stegr）的保护定律。这种方法使我们能够构建协变量的保守电流，相应的超电势和不变电荷。我们结构的必要组成部分是“关闭”重力的概念，该重力是在Stegr框架中引入的，以定义平坦和扭转连接。通过计算电流，可以获得像能量密度这样的引力场的局部特征。超电势的表面整合给出了与系统的全局数量相对应的电荷，例如质量，动量等。为了测试获得的电流和超电势的结果，我们计算了通过在简单解决方案中自由下降的观察者（Friedman Universe（Friedman Universe，Schwartzchild，Schwartzchild，Schwartzild Black Hole）和SchwartzChild Blackshild Blackhoild Blackhole Blackhole shore solutions（Friedman Universe，Schwartzild Mosite）中通过自由下降的观察者测量的能量密度。我们发现获得连接的歧义，这明确影响了保守数量的值，并讨论了该问题的可能解决方案。
We derive conservation laws in Symmetric Teleparallel Equivalent of General Relativity (STEGR) with direct application of Noether's theorem. This approach allows us to construct covariant conserved currents, corresponding superpotentials and invariant charges. A necessary component of our constructions is the concept of "turning off" gravity, introduced in the framework of STEGR to define the flat and torsionless connection. By calculating currents, one can obtain local characteristics of gravitational field like energy density. Surface integration of superpotentials gives charges which correspond to global quantities of the system like mass, momentum, etc. To test our results for the obtained currents and superpotentials, we calculate the energy density measured by freely falling observer in the simple solutions (Friedman universe, Schwartzchild black hole) and total mass of the Schwartzchild black hole. We find ambiguities in obtaining the connection, which explicitly affect the values of conserved quantities, and discuss possible solutions to this problem.
