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Bookmark or Share- In GR, what is Gravity? A force or curvature of spacetime?Following Newton's laws, this means that a force acts on them. However, in general relativity, the idea of a "straight line" is generalized to a geodesic on a manifold, meaning curves of minimal length connecting two points. Note that in flat space, these are exactly straight lines.
- Why is spacetime in special relativity hyperbolic?In special relativity, the "speed of light" (i.e., the maximum signal speed) is finite and corresponds to the light-cone, a hyperboloid of radius 0. The light cone is asymptotic to the hyperboloids with nonzero square-radius. Thus, the reason for the hyperboloids is the speed-of-light-principle together with the relativity-principle.
- special relativity - Space time diagrams: Length contraction - Physics ...From Minkowski's "Space and Time"... We decompose any vector, such as that from O to x, y, z, t into four components x, y, z, t. If the directions of two vectors are, respectively, that of a radius vector OR from O to one of the surfaces ∓F = 1, and that of a tangent RS at the point R on the same surface, the vectors are called normal to each ...
- special relativity - Why is the space-time interval squared? - Physics ...$\begingroup$ I suppose he wanted a space-time interval to be measured in dimensions of length: that is simple physical intuition. Later, special relativity was taught with differential geometry concepts because, in fact, Einstein was thinking about General Relativity from the very start of relativity, even during special relativity.
- general relativity - How can space time be bent? - Physics Stack ExchangeGeneral relativity is different from special relativity. You are correct that spacetime is flat in special relativity. But this is not true in general relativity. This is the whole point of general relativity. Namely, to account for gravity via the introduction of curvature to the metric. The "metric" can be thought of as a 4x4 matrix that ...
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