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Derive this gravitational time-dilation formula

How is the following gravitational time dilation formula from this Wikipedia article derived? $$T_d(h) = \exp\left[\frac{1}{c^2}\int_0^h g(h') dh'\right]$$ where $T_d(h)$ is the ''total'' time ...
Hans's user avatar
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0 votes
2 answers
220 views

What is missing in this gravitational time dilation derivation?

I am confused about one derivation of the gravitational time dilation. Consider a one dimensional time-independent gravitational field. Two clocks are at rest with respect to the gravitational field ...
Hans's user avatar
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0 votes
1 answer
88 views

When two neutron stars collide to form a black hole, for how long will last the emitted signal from the very vicinity of the new formed event horizon?

When two neutron stars collide they may form a black hole which is not a supermassive black hole but it should provoke that outside its newly formed event horizon photons are emitted as a consequence ...
Krešimir Bradvica's user avatar
2 votes
1 answer
144 views

Gravitational red shift and gravitational time dilation

I am a beginner in general relativity. I read the relevant section 9.1.5 in Relativity make relatively easy by Andrew Steane. After that, I thought a problem in gravitational red shift and ...
Hsu Bill's user avatar
  • 388
1 vote
1 answer
64 views

How would a person under gravity observe a person on a nearby planet but under 1000 times of that gravity?

So, imagine I am standing in a region in space where the gravity is, say 1g. Now, on a nearby planet, there is my friend who is under the influence of much stronger gravity, like 1000g. According to ...
Rameez Ul Haq's user avatar
0 votes
1 answer
195 views

Clocks in gravitational field

"In a gravitational field clocks slow down" - this is an effect of gravitational redshift. Are the following statements correct? If I take a "clock" from the surface of the Earth ...
Rene Kail's user avatar
  • 928
2 votes
1 answer
381 views

Gravitational time dilation from the perspective of an accelerating rocket

A common thought experiment illustrating gravitational time dilation involves Alice and Bob in an accelerated rocket. Alice is above Bob. Bob fires periodic signals upwards. Alice observes the signals ...
Big AL's user avatar
  • 483
8 votes
3 answers
2k views

Does gravitational redshift imply gravitation time dilation?

The EEP is used to justify that if an observer on the ground shoots a beam of light towards a tower, then when the light reaches the tower, it will be red shifted. This is because of what happens in ...
JLA's user avatar
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