All Questions
8
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Special Relativity: Interpretation of the partial derivate of Stress-Energy Tensor
This question is based on Carroll's book Spacetime and Geometry, specifically from page 33 to page 36.
In the upper mentioned section we define the Stress-Energy Tensor as:
The flux of the four ...
- 4,577
3
votes
1
answer
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What is the difference between invariance and covariance? [duplicate]
In relativistic physics, paricularly in General Relativity and Quantum Field Theory, we often find the use of the two terms 'invariance' and 'covariance'. But I couldn't find any mention of the ...
- 115
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3
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Meaning and significance of the Levi-Civita symbol
I am recently reading Sean Carroll's Spacetime and Geometry: An introduction to General relativity. I am much of a beginner but am really curios to learn about GR. In the first chapter, after ...
1
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4
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1k
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What is the precise definition of a 4-vector?
In Minkowski space, I know that there are some vectors such as the ordinary velocity that are not proper 4-vectors.
But what is the exact definition of a 4-vector? For any fixed numbers, say 1,2,3,4, ...
- 1,669
3
votes
1
answer
347
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General definition of an $n$-rank spinor
I have been looking around for a formal (and easy to comprehend) definition of a general $n$-rank spinor. I have had no luck trying to find such a definition, or any definition for that matter.
So ...
5
votes
1
answer
711
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Antisymmetric tensor and pseudotensor
I am reading Landau & Lifshitz's classical field theory book, and there is a paragraph which confused me:
"With respect to rotations of the coordinate system, the quantities $e^{iklm}$ behave ...
- 670
3
votes
2
answers
5k
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What is pseudo-tensor?
What is the pseudo-tensor in relativity?
How do we transform tensor and pseudo-tensor under parity?
- 451
5
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2
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875
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"Vectors", i.e. (1,0)-tensors, their definition and motivation for relativity
I'm reading Einstein Gravity in a Nutshell (by Zee) and here he defines a vector as an object which is invariant under coordinate representation; concretely, if in one coordinate representation, $V$, $...
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