2024年11月25日 · In GR, there are geodesic paths clearly determined by position and speed and no force. And it becomes more complicated when the object itself has a significant mass. For example, the Earth and the other planets have an influence on the (empirically confirmed) wobbling motion of the sun.

2017年5月7日 · In general relativity, in the absence of other fields, point particles move along geodesics. Note that a Newtonian potential is replaced in general relativity by a component of the metric.

2020年2月16日 · When we derive the equations for propagating waves in GR, we have to make a gauge choice to get something unique. I understand that in electromagnetism, the gauge is not in general something measurable, only the force or at least some line integral $\int\!dx^\mu A_\mu$ .

2015年3月4日 · To try to define a physically meaningful notion of spatial distance in GR is necessary to focus on the general notion of (extended) reference frame. To this end, let us consider a 4-dim spacetime $(M,g)$ , which we also assume to be temporally oriented .

2018年10月1日 · Generalized divergence of tensor in GR. Ask Question Asked 6 years, 5 months ago.

2020年4月28日 · But in GR the group algebra of the transformations may depend on time and position, so we get a non-zero second term. Would that be correct to say? general-relativity

2015年6月13日 · Gravitational potential in GR. Ask Question Asked 9 years, 9 months ago. Modified 2 years, 7 months ago.

2023年8月17日 · The fundamental object of study in GR is the metric, which is by definition precisely a symmetric, non-degenerate bilinear form on the space-time manifold (usually taken to be of signature $(3,1)$). To say you can study GR without some understanding of bilinear forms is like saying you can study Newtonian Mechanics without a working knowledge ...

2024年11月6日 · $\begingroup$ So it seems that energy is not conserved in GR, and in the context of this answer and the one I linked, I assume that spacetime curvature is not conserved either? Meaning that the combined metrics from 2 bodies may interact non linearly to produce a metric curvature that has greater curvature than any single body's curvature in ...

2015年6月17日 · How is the Lagrangian defined in GR? Ask Question Asked 9 years, 8 months ago. Modified 9 years, 8 months ago.