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Results tagged with general-relativity
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user 21270
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.
7
votes
2
answers
2k
views
Parallel Transport of a 4-vector
Why does the parallel transported $4$-vector change from $X^a(x)$ to $X^a(x) + \bar{\delta}X^a(x)$ ?
This is also discussed in D'Inverno's relativity book [page - 72]; but the reason is not clear.
- 3,053
3
votes
1
answer
2k
views
Transformation rule of a partial derivative
We know the following transformation rule:
$$ \partial'_b = \frac{\partial}{\partial x'^b} = \frac{\partial x^c}{\partial x'^b} \, \frac{\partial}{\partial x^c} = \frac{\partial x^c}{\partial x'^b} \ …
- 3,053
5
votes
3
answers
4k
views
Square bracket notation for anti-symmetric part of a tensor
I know that
$A_{[a} B_{b]} = \frac{1}{2!}(A_{a}B_{b} - A_{b}B_{a})$
But how can write $E_{[a} F_{bc]}$ like the above?
Can you provide a reference where this notational matter is discussed?
- 3,053
5
votes
1
answer
903
views
Quantization surface in QFT
What does the Quantization Surface mean here?
Reference: H. Latal W. Schweiger (Eds.) - Methods of Quantization
- 3,053