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Graduate Variation of Metric Tensor Under Coord Transf | 65 chars
Under the coordinate transformation $\bar x=x+\varepsilon$, the variation of the metric $g^{\mu\nu}$ is: $$ \delta g^{\mu\nu}(x)=\bar g^{\mu\nu}(x)-g^{\mu\nu}(x)=-\frac{\partial{ g^{\mu\nu}}}{\partial x^{\alpha}}\varepsilon^{\alpha}+ g^{\mu\beta}\frac{\partial \varepsilon^{\nu}}{\partial...- QipshaqUli
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- Metric Metric tensor Tensor Variation
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- Forum: Special and General Relativity
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Checking the Lorentz transformation
Homework Statement: This seemed at first glance very easy. But there appeared some confusion. A is moving to the right with velocity v with respect to B. The proper time for A is ##t_a=t_b\sqrt{1-v^2/c^2}##. And B is moving to the right with velocity u with respect to C. Proper time for B...- QipshaqUli
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- Lorentz Lorentz transformation Transformation
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- Forum: Introductory Physics Homework Help