All Questions
9
questions
3
votes
0
answers
88
views
Intuition for the interior Killing vector fields in Schwarzschild?
The Schwarzschild metric represents a stationary (and static), spherically-symmetric, spacetime. These characteristics are manifested by the four Killing vector fields: one for time translation and ...
- 1,290
-4
votes
2
answers
102
views
Are black holes 4-dimensional balls of spacetime? If so, will they have 3-sphere surfaces?
If black holes are 4-dimensional balls of spacetime, they will have a 3-sphere surface with a 3-dimensional volume. Would this allow infalling matter to remain within this surface?
- 371
0
votes
1
answer
59
views
Sorts of relativistic effect around black holes [closed]
There are many effects around black holes. In particular it is possible to study the motion of geodesics, calculate tidal tensors, lense-thirring effetcs and so on.
So, beyond tidal effects, geodesic ...
- 315
2
votes
0
answers
572
views
How to derive the Kerr killing vector?
The Kerr metric have two killing vectors:
$$t^{\mu} \equiv (k_{t})^{\mu} = (1,0,0,0)\hspace{5mm} \mathrm{and}\hspace{5mm} \phi^{\mu} \equiv (k_{\phi})^{\mu} = (0,0,0,1). \tag{1}$$
In general, it is ...
- 3,085
2
votes
1
answer
193
views
Why does Leonard Susskind draw constant time slices around a black hole as lines passing through the origin at zero?
In this video Inside Black Holes by Leonard Susskind,
why does he draw the constant time slice as lines passing through the origin at zero?
Something seems to be contradicting to have constant time ...
- 4,336
1
vote
1
answer
426
views
How can existence of a timelike Killing field imply a metric that is independent of time coordinate?
I have read that the existence of an arbitrary timelike killing field implies that we can find some coordinates such that metric is independent of time in that coordinates. For me independence of ...
- 51
0
votes
0
answers
50
views
Trajectory of photons in Schwarzschild coordinates 2D + t
I'm french and my english is awfull, excuse me for this. I hope you could however understand my question.
I'm looking for a formula of trajectory of photons in Schwarzschild coordinates. For example ...
- 3
3
votes
1
answer
105
views
How are different metrics for spacetime constructed?
is a metric something derived? for example where does the extremal Reissner Nordstrom metric come from?
- 57
1
vote
1
answer
78
views
Gravitation function (or space-time distorsion variation) below Schwarzschild radius
Let's consider a massive sphere (with an approximate constant density, not charged, not rotating, no anti-matter for example an Earth simplified model).
On the outside of this sphere,
$g(r) = \alpha/{...
- 723