2019年10月26日 · It might help to see what's going on, if you know where that equation came from. That expression for gravitational time dilation comes from the Schwarzschild solution to Einstein's field equations from General Relativity. The Schwarzschild metric tell us about the space-time in a vacuum near a stationary, spherically symmetric mass. That it's a ...

2022年11月7日 · Gravitational time dilation is not an effect of motion. You might move fast if you are deep in a gravity well (you don't have to, you can also stand on the surface of an object for example) but that's a separate effect. The rubber sheet analogy which you use doesn't have an intuitive way to understand gravitational time dilation.

Gravitational time dilation is related to the curvature of spacetime caused by mass and energy, while time dilation due to acceleration (known as "kinematic time dilation") arises from the effects of relative motion and the constant speed of light.

2020年11月17日 · Its harder for me to think up a scenario where two ships could sync up clocks, travel to two different gravitational fields using the same acceleration, and be also traveling at the same speed (so as to eliminate the apparent time dilation due to different speeds), such that any apparent time dilation would only be due to existing in different ...

2018年4月5日 · "Gravitational time dilation" and "velocity time dilation" aren't in general clearly separable, physically distinct phenomena. All time dilation is due to the relative velocity between two inertial frames of reference. In a curved spacetime, it isn't possible to define an inertial frame of reference that covers all of spacetime; instead, an ...

2021年10月26日 · Gravitational time dilation is an actual objective effect, unlike the apparent subjective time dilation of special relativity. Observers who are stationary with respect to each other (in space) but at different “heights” in a gravitational field will agree that time runs at different rates in each of their localities, and the observer for ...

2015年10月29日 · Is time dilation due to relative velocity equivalent in principle to time dilation due to relative gravitational strength? Hot Network Questions Why did Colombian President Gustavo Petro block two U.S. military flights carrying …

2016年9月24日 · The gravitational time dilation for a static "shell" observer in the Schwarzschild metric observed from infinity is $$ d\tau_{\rm shell} = dt\left( 1 - \frac{r_s}{r}\right)^{1/2}\ .$$ We could label this as the "General Relativistic time dilation".

2015年5月14日 · $\begingroup$ Starting to get the idea, have some followups though... re #1 - would space-time contract along the surface of a sphere of constant r (measured from afar) due to a gravitational field being present inside it or if it just seems that way from geodesics converging? re #2-4 - "coincidentally equal" is what makes me unsure; "They arise naturally without any …

Gravitational time dilation caused by a galaxy, and by. 5. Voyager local time dilation (caused by gravity ...