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MeJennifer
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Is it accurate to claim that space-time curvature in general relativity means a curvature of a space-time with a Minkowski pseudo-metric?
Ok, that definition makes sense.pervect said:The flat Minkowskian metric is a special case of the more general Lorentzian metric (whcih is not necessarily flat).
Right, and so can we take a collection of local Lorentzian patches and form a curved space-time, which is thus as agreed upon also Lorentzian, and with maintaining a causal connection?pervect said:A manifold with either a Lorentzian or Minkowskian metric is a pseudo-Riemannian manifold because the metric tensor is not positive definte (those pesky minus signs).
Space-time curvature is a concept in the theory of general relativity that explains how the presence of mass and energy can cause a bending or warping of the fabric of space and time. This curvature is what we experience as the force of gravity.
The amount of space-time curvature in a certain area determines the strength and direction of the gravitational force acting on objects in that space. Objects with larger masses will cause more curvature and therefore have a stronger gravitational pull.
Yes, space-time curvature can be observed through the effects of gravity. For example, the bending of starlight around massive objects, such as black holes, is a direct result of space-time curvature.
The concept of spacetime combines the three dimensions of space with the dimension of time. In general relativity, mass and energy are seen as distortions in this four-dimensional spacetime, causing the curvature that we experience as gravity.
No, space-time curvature is a unique concept in the theory of general relativity and is not explained by any other theories. However, there are other theories, such as quantum mechanics, that attempt to explain the nature of gravity and its relationship with space and time.