All Questions
21
questions
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How to mathematically describe the process of spacetime curvature?
I guess as a result of the energy-momentum tensor $T_{\mu\nu}$ coupling to a flat Minkowski metric, $\eta_{\mu\nu}$, the flat metric can become that of a curved spacetime, $g_{\mu\nu}$. How can one ...
- 357
0
votes
1
answer
120
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Stress-energy tensor in different reference frames and spacetime curvature
The components of the stress-energy tensor are different in different reference frames. Also there is no universal time, so values of energy will be different in different reference frames.
Via the ...
- 65
16
votes
5
answers
2k
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Is energy "equal" to the curvature of spacetime?
When you are solving the Einstein field equations (EFE), you basically have to input a stress–energy tensor and solve for the metric.
$$
R_{\mu \nu} - \frac{1}{2}R g_{\mu \nu} = 8 \pi T_{\mu \nu}
$$
...
- 1,525
1
vote
1
answer
150
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Doubt about General relativity
Matter and [non-gravitational] energy via the stress tensor can cause spacetime curvature because the stress tensor is algebraically related to the Ricci curvature tensor, according to Einstein's ...
user229112
2
votes
2
answers
176
views
Could the curvature of spacetime, as in general relativity, result from the interaction of quantum fields?
If both the general and special theories of relativity deal with space as spacetime, then the special theory of relativity deals with spacetime as flat, and the general theory of relativity deals with ...
- 21
1
vote
2
answers
819
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Is there a reason that the stress-energy-momentum tensor curves the spacetime?
The famous field equations of Albert Einstein describe, how spacetime is curved by the stress-energy-momentum tensor. The spacetime is curved by matter and energy. General relativity is the underlying ...
- 255
2
votes
1
answer
182
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Spacetime curvature around Gaussian wave packets
https://en.wikipedia.org/wiki/Wave_packet#/media/File:Wavepacket-a2k4-en.gif
From quantum mechanics we know how to describe, statistically, an unbound particle floating in space. Treat it as a ...
- 101
2
votes
0
answers
84
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Through what exact mechanism is the stress energy tensor bending spacetime?
In the Einstein field equations the metric related quantities are on one side, and the stress-energy tensor on the other.
What is the deeper mechanism of how nature actually implements this ...
- 101
2
votes
1
answer
271
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Why shouldn't photons be able to curve spacetime? [duplicate]
I have read this question. It was asked if photons are able to curve spacetime. But if classical electromagnetic fields can curve spacetime (due to the energy contained in the fields contributing to ...
3
votes
2
answers
245
views
Einstein field equation specific solution
Do Einstein's field equations admit a solution such that spacetime was empty in the past of a hypersurface of constant time say $t =0$, but in the future there exists a non-vanishing energy momentum-...
- 1,124
1
vote
0
answers
78
views
Energy stored in the curvature of spacetime?
Lets assume there are particles with mass. If the mass is big enough, they will accelerate toward the center of mass. Thus the particles gain kinetic energy and hence the total mass gets bigger. Since ...
- 295
3
votes
2
answers
681
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Solutions to Einstein Field Equations where $T_{\mu \nu} = 0$
My Level/Background:
I have just completed my first year of undergrad. In high school, I completed AP Physics C Mechanics and Electricity and Magnetism. In my first year of undergrad, I completed a ...
- 822
0
votes
4
answers
218
views
When we say energy curves spacetime, which is the cause and which is the effect?
I read that energy is one of the parameters (physical properties) that contributes to the curvature of spacetime, then there is the math proof using General Relativity. I was wondering because common ...
- 13k
0
votes
1
answer
121
views
How does one convert the stress energy momentum tensor into a normal energy value?
In the case of the Einstein field equations, is it possible to change from the stress energy momentum tensor into a normal energy value?
Is it possible to say 'E =' instead of the Einstein constant ...
user250721
0
votes
2
answers
263
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How does one approach negative curvature in the Einstein Field Equations?
Everyone talks about positive curvature when they talk about the EFE, and for good reason. I'd just like to know what would change in the equation if it accounted for negative curvature of spacetime ...
user250721