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Tagged with general-relativity time-dilation
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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 ...
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How does a curvature in time equate to Newtonian gravity? [duplicate]
I often read that a curvature in time (the rate at which clocks tick) near a massive object, is considered to be the source of Newtonian gravity.
This got me wondering, does General Relativity use the ...
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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 ...
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How would time dilation near a rotating black hole differ to a non-rotating black hole?
Suppose that we have a non-rotating black hole with mass $M$. We know that the time dilation $\Delta t'$ at a distance $r$ to the center of the black hole is given by $\Delta t' = \Delta t \sqrt{1 - \...
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How does gravitational time dilation apply to observers in free-fall?
My question is whether an observer in free-fall about a massive object experiences the gravitational time dilation associated with that object.
Apparently the answer is "yes it does".
What I ...
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Is there a formula for gravitational time dilation at the cosmological scale?
There is a standard formula for gravitational time dilation used in eg the operation of the global positioning system. It is based on the integration of g(h) where g is a function relating ...
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What is the time dilation due to acceleration?
what is the formula to calculate time dilation due to acceleration. I have tried to search in google to find out the answer but I couldn't find any equation to calculate the time dilation due to ...
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Time dilation for different observer in black hole metric
If I have a 2d Schwarzschild metric
$$
dS^2 = -(1-\frac{r_s}{r})dt^2 + \frac{dr^2}{1-\frac{r_s}{r}}
$$
I want to find the relation between the time of an asymptotic observer $t$ and the proper time of ...
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Photon speed for an observer at the photon sphere [closed]
I am asked to compute the orbital period of a photon, in the Scwarzschild spacetime, at the photon sphere for an observer at the same radius, $r^\star=3M$. I have computed the result, $\Delta T=6\pi M$...
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Deriving time dilation from line element
I am having trouble deriving the time dilation. I am using $(-, +, +, +)$ sign convention.
For Minkowski metric, the line element is equal to:
$$ds^2 = -c^2dt^2 + dx^2 + dy^2 + dz^2$$
For a motionless ...
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The apparent dilatation of time in General Relativity
Maybe this a dumb question, but, is the gravitational dilatation of time caused because a particle travelling through a geodesic in a curved space-time must cover a larger distance than the one ...
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Equivalence Principle in Newtonian Physics vs GR: A Thought Experiment
I have a question regarding the equivalence principle as it applies in Newtonian Physics and General Relativity. Consider a thought experiment involving a free-falling elevator.
Inside the elevator, ...
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Is it more accurate to say space in a weaker gravitational field is contracted, or that time is faster?
Little thought experiment. An observer places a mirror and a clock 1 lightyear away from a black hole. He then goes in the black hole's gravitational field at a point where he sees the clock tick at 2 ...
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Twin paradox - how much energy does it take to travel to the future? [closed]
In the usual twin paradox in Minkowski space, we have twins Alice and Bob. Alice stays at home. Meanwhile, Bob visits a distant planet and returns. On return, Bob has aged less than Alice. So, in a ...
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Time Dilation And Comparing Inertial And Non Inertial Reference Frames
Can we calculate the total observed time dilation on a spaceship and a planet by combining the planet's relativistic spin velocity and the spaceship's approach or recession velocity from the planet it ...
