All Questions
Tagged with general-relativity time-dilation
429
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Does Mass Actually Displace Space-Time, or does Mass only Distort it?
1. Question
If a planet displaces space-time within it, and if a planet distorts the surrounding space-time surrounding it, then what does the phenomena of space-time look like from within that planet?...
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17
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Which Qualities of Space-Time Preclude it Displacing and Distorting Itself? [closed]
1. Question
Could space-time distort and displace space-time?
What quality of space-time, (principal/concept?), stops a ...
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1
answer
120
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Do satellites in orbit create Relativity paradoxes? [closed]
Can someone point out the flaw in this very realistic scenario below?
I will start by stating established first principles of the applicable orbital and relativistic conditions.
Then I will describe ...
2
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1
answer
76
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How to properly combine kinetic and gravitational time dilation effect?
I developed a time dilation calculator that includes both kinetic (Lorentz Factor) and gravitational (Schwarzschild Metric Formula) factors to assess the time difference between Earth and satellites. ...
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5
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Do you always experience the gravitational influence of other mass as you see them in your frame?
You see a galaxy far away. That galaxy is attracting you with a certain amount of gravity. I'm wondering if the gravity influence of the galaxy on you, as measured by you, always ends up being what ...
- 171
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2
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86
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Tug of war between observers in frames with different rate of time
You have a very dense hollow sphere of matter. Observer A is inside the sphere inside a rocket. Observer B is in an identical rocket outside the sphere where the ring's gravity is negligible. They are ...
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42
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How can I find the distance between planet and black hole?
With the movie Interstellar how I can find time dilation of the Miller's planet? Do I need find the distance between the planet and the black hole? Then I can find the time dilation?
If not, please ...
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40
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Topological illustration of spacetime dilation: which function should I use for isometric lines spacing?
Scientific popularization, when it comes to illustrating spacetime dilation around massive objects, often relies on the description of a two-dimensional square-grid, which can be regarded as a cross-...
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2
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When it comes to getting closer to the Schwarzschild radius, how is discrete a limit?
From Keeton (2014) in Principles of Astrophysics: Using Gravity and Stellar Physics to Explore the Cosmos, Gravitational time dilation near a large, slowly rotating, nearly spherical body, such as the ...
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1
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57
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Time function as a function of energy (from velocity and gravity)?
Is there any formula, preferably in terms of energy, for the time dilation an object experiences taking both relativistic velocity and mass into account? I see both formulas frequently, but haven't ...
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Does time arising from entropy agree with GR?
There's a theory that the direction of time arises from entropy and the correlations (interactions) between bodies. However, I don't see how this would incorporate the effects of General Relativity, ...
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Time dilation with atomic clocks near accelerators or colliders
Consider an atomic clock positioned close to a high energy particle accelerator or collider.
Would the atomic clock read different values when the accelerator is operating at different "energy ...
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2
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86
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Maximizing proper time with parabolic trajectory in uniform gravitational field
In Feynman Lectures, Vol II, Chapter 42, he states,
"In a uniform gravitational field the trajectory with the maximum proper time for a fixed elapsed time is a parabola."
How can I prove ...
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Is it possible that the mass of a black hole is located at the event horizon?
Due to gravitational time dilation, an object falling into a black hole appears to slow down as it approaches the horizon, never actually reaching it. If it were to somehow enter the event horizon, ...
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1
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83
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Relativistic force correction factor for time-dilated continuous entities
How does gravitational time dilation affect the transmission of mechanical forces in a hypothetical scenario where a tether extends from a less gravitationally influenced region, like the edge of the ...
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Time dilation and angular velocity
Is angular velocity (the horizontal rotation of a massive disc falling through the air) sensitive to time dilation or invariant to it? Will its angular velocity (speed of rotation) increase, decrease ...
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137
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What is the time dilation at escape velocity? [duplicate]
I am a newbie but as far as I understand that there are two sources of time dialations, one due to relativistic speeds and the other is due to gravitational field. If I look at these equations they do ...
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2
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What made Einstein to think time also dilates, along with space, with increasing gravity?
Michelson–Morley experiment showed that speed of the light remains same regardless of speed of observer. Based on it Albert Einstein came up with the proposal of time dilation for object in speed (...
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Is there a location in the universe with the minimum rate of time dilation?
According to general relativity, time dilation occurs due to strong gravitational fields and high relative velocities, causing time to pass more slowly compared to observers in weaker gravitational ...
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Gravitational Time Dilation: How to find the time difference between orbits at different radii? [closed]
I want to calculate the difference in time measured by a clock at on earths surface (r=6000km), and a geostationary satellite (r=26000km). My approach is as follows:
For simplicity, we consider curves ...
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4
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2
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627
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GR contribution to time dilation when both clocks are falling freely
When reading simplified explanations of time dilation experienced by satellites, such as those used for the GPS and other satellite navigation systems, the time dilation is often presented as having ...
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Comparison of clocks running at different heights in a gravitational field
I hope this question has not yet been asked. If so then please link me to the answer.
If I build an apparatus which, on flicking a switch, sends a light beam, a distance to a mirror, and reflects it ...
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4
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How long is a second on the moon?
The Office of Science and Technology Policy, part of the government of the United States of America, issued this statement outlining the need for a Lunar Standard Time (LST) standard. They state:
For ...
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Variation on Twins Paradox - Simulating Gravity
There are many questions exploring variations upon the Twin Paradox, but none I have seen seem to resolve this thought experiment.
It is often said that the 1g force we feel on earth due to the ...
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On the equivalence principle
In its simplest version, it states that
the effects of a uniform gravitational field are indistinguishable from those of a uniform linear acceleration of the frame of reference
The thing is, you can ...
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Is there a newtonian limit approximation for gravitational time dilation?
The gravitational redshift equation (for a spherically symmetric gravitational field) is:
Within the Newtonian limit, there is an approximation:
The gravitational time dilation equation (for a ...
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3
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124
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Relativity and variable time - there is an alternate formulation where time is always linear. Has it been studied?
Lorentz, Einstein et. al. assume time is the variable which changes in a gravity well or as speed approaches $c$. That's the commonly accepted model.
For nearly 50 years I've wondered if anyone else ...
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Time dilatation of a free falling observer [duplicate]
I have two questions about time dilation near a black hole.
(I question) The relation $d\tau^2 = (1-\frac{r_s}{r}) dt^2$ between the proper time $d\tau$ of an observer near a B.H. and the time dt ...
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2
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Does infinite time dilation increase a photons energy to collapse to a black hole, and does it do the same for matter?
As I understand the mass of an object doesn't increase in a gravitational field according to general relativity. It just follows a geodesic, its worldline.
Now imagine a small marble falling straight ...
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4
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Gravitational Time Dilation and the Apparent Speed of Light
It has been proven that time far away from Earth is faster than time on the surface of Earth, due to gravitational time dilation. (GPS satellites take gravitational time dilation to account.)
Would ...
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Effect of gravitational time dilation on a classic weighted pendulum clock versus a hybrid pendulum clock with a battery
A classical pendulum clock is powered by gravitational potential energy by weights. While a hybrid pendulum clock is somehow propelled by electric current. Both have the same pendulum swing as the ...
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Gravitational effects on a celestial body and the difference between a pendulum and a regular clock
Imagine a planet with the same properties as Earth, this time moving in an elliptical orbit around a heavy star of a large number of solar masses. Also imagine that the surface of this planet is as ...
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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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86
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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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2
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220
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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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1
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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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3
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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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0
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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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3
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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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3
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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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1
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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 ...
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1
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What are the effects on a stationary observer at a specific distance from a Kerr Black Hole?
A Kerr Black Hole (BH) is a spinning BH. There is an Event Horizon (EH) which is
$$r_H^\pm =\frac{r_{S} \pm \sqrt{r_{S}^2 - 4a^2}}{2},$$
where $a = \frac{J}{Mc}$ and $r_{S}$ is the Schwarzschild ...
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Question regarding Time dilation of satellites
My name is Shaun Kant.
I was wondering about why the satellite's time is faster with respect to Earth's time. PBS space time mentions that fact. However, Wikipedia mentions that at the ISS (...
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What could a year long journey look like, while traveling near the speed of light, through the lens of that telescope?
Hypothetically speaking if you had a satellite going near the speed of light in a straight line towards an exoplanet light years away and that satellite had a telescope pointed at the surface of an ...
