Equivalence Principle and Rindler Horizons

[sbaker8688]

It is, at least as far as I can imagine, impossible to discuss the topic of this thread, i.e., Rindler coordinates and Rindler horizons to locally describe the region close to an event horizon in GR, without using the adequate math.

The question was if a Rindler Horizon forms when you stand on a massive body. The answers can be yes, no, or nobody knows, and none of those answers require math, nor was math desired.

 

[Dale]

This is the 30th posting within this thread, and we've not achieved anything to answer the question yet.

I disagree. The question has been answered, and at a B level, without math.

 

[vanhees71]

Well, it depends on what you understand as an answer of a scientific question. For me it's answered in the other thread here:

https://www.physicsforums.com/threa...ties-advanced-discussion.1007892/post-6551199

and this is really not overly overambitious math!

 

[Vanadium 50]

The answers can be yes, no, or nobody knows, and none of those answers require math, nor was math desired.

That's disingenuous.

You got an answer like this, immediately challenged it by demanding a source, and then complained that the source used "technobabble".

 

[H_A_Landman]

The weak-field approximation for time dilation is Td = 1 + 𝜙/c². The Rindler horizon occurs when 𝜙 = -c²; in a 1 G field, that is about 1 light year "below" you. At that point, the formula gives Td = 0, i.e. time stops running.

In SR, the Rindler horizon actually exists, because the linear equation is exact. But for gravity, it's only the first order approximation. The actual equation is Td = exp(𝜙/c²). [Einstein 1907] Time never stops unless 𝜙 goes to minus infinity. So there is no Rindler horizon. (There may still be black hole event horizons, etc.)

The Einstein equivalence principle says that gravity and acceleration are locally indistinguishable. Here "locally" means "over short enough distances that the linear approximation is good and you can't see higher order terms". It doesn't say that they are globally indistinguishable. They're not.

 

[PeterDonis]

The question was if a Rindler Horizon forms when you stand on a massive body.

As @Dale has already pointed out, this question has been answered. The answer is no.

Thread closed.

 

[PeterDonis]

Moderator's note: A discussion about the definition of the term "Rindler Horizon" has been spun off to a separate thread:

https://www.physicsforums.com/threads/definition-of-rindler-horizon.1007918/