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0 votes
3 answers
124 views

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 ...
BobT's user avatar
  • 19
1 vote
2 answers
274 views

Time and speed of light in Relativity

Time running slower near a massive object, but the speed of light does not really change near a massive object, according to Relativity - it just curves. Is not time directly related to the speed of ...
Adelina Mitkova's user avatar
0 votes
1 answer
174 views

Coordinate time -- proper time plot in Schwarzschild orbit

I'm solving the Schwarzschild geodesics numerically, and I'm wondering if the result I'm getting makes physical sense. The parameter of the path $x^{\mu}=(t,r,\theta,\phi)$ is the proper time $\tau$, ...
Johnny's user avatar
  • 163
1 vote
1 answer
269 views

Does time dilation in a constant gravitational field depend on the choice of coordinates?

I am currently taking a course in general relativity and one of the homework problems for the course asks to justify the fact that time dilates in a constant gravitational field using the equivalence ...
Chandrahas's user avatar
  • 1,747
1 vote
1 answer
436 views

How do you get time dilation from $g_{00}$ in general and from the Schwarzchild metric in particular?

1.Why is the observer at the bottom measuring the proper time rather than the coordinate time? 2.How do we go from time dilation to $g_{00}$ or from $g_{00}$ to time dilation? I'm trying to understand ...
user avatar
0 votes
1 answer
79 views

Does Coordinate time make sense in a universe with wormholes?

Let us say that you have a spacetime with wormholes, and a coordinate system. The two ends are created at almost the same point in spacetime. Then the one end is taken far away and time dilated; (note:...
Christopher King's user avatar
0 votes
2 answers
113 views

Time (or rather, $dt$) as a Vector? [duplicate]

I want to preface this by saying that I'm by no means experienced with the field of physics, but while on my commute this morning, I started thinking: Basically, I thought about time being a fourth ...
ByThePowerOfScience's user avatar
6 votes
1 answer
311 views

Twin paradox with one twin in orbit, one in radial free-fall

Many questions on Physics SE relate to the twin paradox, but I did not find any that ask this specific question. Suppose that object A is in a circular orbit around a spherically symmetric, non-...
Chiral Anomaly's user avatar
5 votes
3 answers
2k views

Relationship between Coordinate Time and Proper Time

While I was reading Ta-Pei Cheng's book on relativity, I was unable to derive the correct relationship between coordinate time $dt$ (the book defined it as the time measured by a clock located at $r=\...
Taptic's user avatar
  • 51
1 vote
0 answers
78 views

The role of the variable $r$ in gravitational time dilation? [duplicate]

I've recently become interested in the equation for gravitational time dilation, which is as follows: $$ t_{0}=t_{f}{\sqrt {1-{\frac {2GM}{rc^{2}}}}}=t_{f}{\sqrt {1-{\frac {r_{s}}{r}}}} $$ I ...
A. Forty's user avatar
  • 183