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Results tagged with general-relativity
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user 374314
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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2
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Is the equation $g_{\mu\nu} = const. + T_{\mu\nu}$ equivalent to Einstein's field equations? [closed]
Is the equation
$g_{\mu\nu} =$ diag (-1,1,1,1)$\cdot$ const. + $T_{\mu\nu}$
equivalent to Einstein's field equations?
$g_{\mu\nu}$ is the metric tensor and describes the curvature and $T_{\mu\nu}$ de …
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0
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0
answers
36
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Density changes of 3D projections of spacetime in relativity theory?
In relativity theory, the metric tensor $$g_{\mu\nu} $$ describes the gravitational field.
Can one treat the determinant of the metric tensor, normalized by the square of the Jacobian of the transform …
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0
votes
1
answer
96
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Unimodular gravity and volume preservation: normalization with Jacobian determinant possible?
Unimodular gravity restricts the usable coordinate systems / coordinate transformations so that the unimodular condition is met. See equations (2) and (3) in https://arxiv.org/abs/2301.07641
It "allow …
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3
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0
answers
182
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Understanding Feynman: why gravity is not a spin-0 theory?
I'm struggling to understand a certain paragraph in Feynman's "lectures on gravitation". It's lecture 3, why gravity cannot be a spin-0 theory. Here's the text:
The rejection of spin-zero theories of …
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0
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0
answers
41
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Does a tangential vector experience length contraction when moved in radial direction throug...
Let's have a look at the Schwarzschild solution. Let's consider only the spatial part since my question is only regarding length contraction.
There is the coefficient of the radial component, it's $\f …
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2
votes
2
answers
352
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Derivation of the Schwarzschild metric: why are $g_{22}$ and $g_{33}$ the same as for flat s...
I'm trying to understand the derivation of the Schwarzschild metric from Wikipedia, but I simply do not understand why, therein, $g_{22}$ and $g_{33}$ must be those of the flat spacetime.
Couldn't $g_ …
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0
votes
0
answers
241
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How many independent degrees of freedom does the metric tensor have in vacuum (at every point)?
A field of metric tensors fully characterises the curvature of a vacuum space-time. (For example, the spacetime between some single point masses which are themself not part of the manifold)
The metric …
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2
votes
6
answers
2k
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Is it possible to describe every possible spacetime in Cartesian coordinates? [duplicate]
Curvature of space-time (in General Relativity) is described using the metric tensor. The metric tensor, however, relies on the choice of coordinates, which is totally arbitrary.
See for example answe …
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2
votes
1
answer
156
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Chose coordinates where $g_{01}=g_{02}=g_{03}=0$ to disentangle space and time?
$g_{\mu\nu}$ is the metric tensor. It describes the curvature of spacetime in general relativity. The choice of coordinates is completely arbitrary. It should be possible to find and chose coordinates …
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