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Results tagged with general-relativity
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user 277781
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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Doubt in tensor calculus in General Relativity
I am stuck in the derivation of $G$ (Einstein tensor) in the condition of weak field ($h$ small) where $g_{\alpha\beta}=\eta_{\alpha\beta}+h_{\alpha\beta}$ and $h^{\alpha\beta}=\bar{h}^{\alpha\beta}-\ …
- 163
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Covariant derivative of a Killing vector in static spacetime
In the book in which I am studying there is the following problem:
Prove that in a static spacetime Eq. (3.7.14)($ds^2=-e^{2U}dt^2+h_{ij}dy^idy^j$) the Killing vector obeys the relation:
$$\xi_{\mu ; …
- 163
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Christoffel symbols in exact plane waves
In the book "A first course of General Relativity" by Schutz I am stuck in trying to calculate Christoffel's symbols for an exact plane wave. I have the metric:
$$ds^2 = -dudv+f^2(u)dx^2+g^2(u)dy^2$$
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