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Results tagged with general-relativity
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user 300492
A theory that describes how matter interacts dynamically with the geometry of space and time. It was first published by Einstein in 1915 and is currently used to study the structure and evolution of the universe, as well as having practical applications like GPS.
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1
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Orbital Photon Speed at the equatorial plane of a rotating black hole
I've been trying to calculate $d\phi/dt$ of photons orbiting a Kerr black hole (Kerr metric in Boyer-Lindquist coordinates) on the equatorial plane, both counter and along with its rotation. So I used …
0
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0
answers
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Time separation inside a black hole horizon
In Schwarzschild geometry, we often say that when $r<2M$, $r$ becomes timelike and $t$ becomes spacelike. While I understand that this refers to the metric and how it behaves for a radial worldline if …
0
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1
answer
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Event horizon from a metric in Cartesian coordinates
How can we derive the event horizon from a metric dependant on $(t,x,y,z)$? I've seen the Schwarzschild solution and the Kerr solution, but both of these are given in $(t,r,θ,φ)$. I tried converting t …
1
vote
1
answer
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Proper Time in Eddington Finklestein Coordinates not calculable?
I've been trying to calculate proper time in EF coordinates:
$$ds^2 = (1-\frac{2M}{r})d^2\upsilon -2d\upsilon dr - r^2(d^2\theta +sin^2\theta d^2\phi)$$
As it is on a timelike worldline: $$ds^2 = d\ta …