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Results tagged with general-relativity
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user 418
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.
8
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Timelike/null generic condition in general relativity
My question concerns the following definition
Definition: The timelike (resp. null) generic condition in GR is fulfilled if
$$u_{[\alpha} R_{\rho]\mu \nu [\sigma}u_{\beta]}u^\mu u^\nu \ne 0$$
…
- 2,446
1
vote
Tensors in general relativity
You got to $$*(d*X)_{d_1...d_{p-1}}=\frac{n-p+1}{(n-p+1)!p!}\epsilon_{d_1...d_{p-1}c_1...c_{n-p+1}}\nabla^{[c_1}\epsilon^{c_2...c_{n-p+1}]b_1...b_p}X_{b_1...b_p}$$
$$=\frac{1}{(n-p)!p!}\epsilon_{d_1.. …
- 2,446