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  1. R

    Hello!May I ask a few questions, I am trying to understand how the

    Sorry, I'm finding it difficult to grasp some of the basics From a Schwarzschild metric You can get the proper and coordinate times, and the time measured by an observer at some distance from the source. I was wondering if you could similarly get a 'distance' from the metric, measured by a...
  2. R

    Hello!May I ask a few questions, I am trying to understand how the

    HOWEVER, may I ask I don't see how you could then interpretate distances from this metric? ie from a Schwarzschild metric? I know that for a stationary observer, the radial and the angular parts would equate to 0. And I know that in general the distance between 2 points separated by dr would...
  3. R

    Hello!May I ask a few questions, I am trying to understand how the

    Hello! May I ask a few questions, I am trying to understand how the metric tensors work in general relativity. In particular, why you would want to make either the radial or transverse part look Euclidean? In what situations is that useful? I am happy that in a very general form, the...
  4. R

    The Shape of the Universe, and General Relativity

    Hello! Cheers! I think I see what you mean. Do the metrics take into account the shape of the Universe? Or only the curvature of space-time by mass (since the shape "has no measurable effect on things like orbits")? I think I am confused because in the metrics I have seen, there is a term for...
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    The Shape of the Universe, and General Relativity

    Hello! I'm trying to get my head around general relativity at the moment...(!), and there's one aspect of it that's really causing me a lot of kerfuffle. I understand that in an appropriately sized local inertial frame, the laws of special relativity occur. On those scales the curvature...
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    The Affine Connection components

    Hello! I have a few questions about how the Affine connection works. I know the geodesic equation; \Gamma^{\lambda}_{\mu \nu} = \frac{\partial x^{\lambda}}{\partial \xi^{\alpha}} \frac{\partial^{2} \xi^{\alpha}}{\partial x^{\nu} \partial x^{\mu}} So, for example, if I had the...
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    Differentiating Tensors

    Mentz114: Thanks, that pdf is great :-) WannabeNewton: I've been reading about the covariant derivative, I *think* it's starting to fall into place....So when working with non orthogonal bases, you end up with extra terms when you differentiate the tensor...so in order to account for these...
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    Differentiating Tensors

    Hello! I am very VERY confused! Would anyone please be kind enough to point me in the right direction. I read that, in general, the derivative of a tensor is not a tensor. What do you find when you differentiate a tensor, then? I thought that you wanted to find the acceleration, to...
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