Recent content by smoothoperator

Can you analyze the Earth-Sun problem that I've mentioned before in the same context?

If we use one gravitational field in GR and try to desribe it, we will see that from the perspective of the observer on the centre of mass of the object the clock on the hovering observer (farther away from the gravitational field) runs faster, while from the hovering observer's perspective the...

Hi guys, I'm a newbie in this area of physics and like many other unfamiliar territories, I've had anxiety and confusion when I first heard the intriguing concepts of this theory. I hope someone can help me understand it better though it is evident that it's very difficult and...

In SR, we may choose any inertial observer and his reference frame at which he is at rest, and other observers are movin wrt to him. All the moving observers 'slice' spacetime in a different way than the observer at rest, at different angles relative to his simultaneity surfaces. This is all...

I'm a beginner in GR (as you may conclude from some of my previous posts) so any help is greatly appreciated. I was recently studying alternative metrics for the Schwarzschild metric and one of them was the Kruskal Szekeres metric. In Schwarzschild, the radius r is defined which is the radius...

I still somehow believe that clocks on some spacetime portion that is changing its curvature must elapse less proper time than clocks in flat spacetime. After all, changing curvature is still curved spacetime which implies clocks running slow when influenced by mass, which also curves spacetime...

Then on what does gravitational time dilation depend on, if not on the spacetime curvature?

But shouldn't space also be curved? I mean, I watched some Brian Greene videos where it's clearly visualized how matter and planets curve space like a ball curves a trampoline. Almost every video that I watched about GR mentiones that planets curve the spatial dimension by their mass and that...

So what can be said of a portion of spacetime which ic changing its curvature? Isn't it logical to say, for instance, that when spacetime goes from flatness to curvature the rate of clocks also slows down?

Thanks for the response Peter, so can we calculate gravitational time dilation for some region of spacetime that changes its spacetime curvature from let's say, flatter to curvier (sorry if my English is bad). Since the Schwarzschild formula is for static situation, will it work for a dynamic case?

What about bigger objects with greater mass? Why can't the space change curvature relative to a Schwarzschild static (hovering) observer

Thanks for another great post Peter. I've understood many things you said, but I still don't understand the main question: Is motion allowed in a static spacetime? we have a hovering Schwarzschild observer and his definition of space, is any kind of motion allowed relative to him? Or do all...

But we on Earth perceive objects and their spatial dimensions at something close like their proper dimensions, right? By perception I mean 'seeing'. Why don't we see them contracted if we adopt a convention where they are very contracted?

No prob, in fact I am shaky, but not because of your mentioned reasons but because the fact that we can adopt anything in a non-inertial frame seems absurd to me. In fact, it seems that I may be 90 percent length contracted from the Earth frame just because of different coordinate adoptions...

I know that, that's one of the basic laws of relativity, that our clock and proper time tick at a standard rate and others differently relative to us depending on their state of motion. Thank you anyway for you reply.