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diazdaiz
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i am new at relativity, it said mass can curve spacetime, does this mean spacetime will curve to a new 5th dimension (1-3 for space dimension, 4 for time dimension)?
No, it doesn't mean that.diazdaiz said:i am new at relativity, it said mass can curve spacetime, does this mean spacetime will curve to a new 5th dimension (1-3 for space dimension, 4 for time dimension)?
Bit of a contrived example, but consider the surface of a hemisphere. Project this surface vertically onto its equatorial plane. Inherit the distance metric from the original hemisphere to judge "straight lines" in the resulting space. It now has intrinsic but not extrinsic curvature.Ibix said:I suppose it might have intrinsic curvature but not extrinsic
Or the other way around, I guess. Embed the manifold in a higher dimensional manifold whose metric is contrived to match that of the embedded manifold where appropriate.jbriggs444 said:Bit of a contrived example, but consider the surface of a hemisphere. Project this surface vertically onto its equatorial plane. Inherit the distance metric from the original hemisphere to judge "straight lines" in the resulting space. It now has intrinsic but not extrinsic curvature.
A spacetime curve is a mathematical representation of the curvature of space and time caused by the presence of massive objects. It is a fundamental concept in Einstein's theory of general relativity.
Mass is the main factor that determines the amount of curvature in spacetime. The more massive an object is, the greater its gravitational pull, and the more it will bend the fabric of spacetime around it.
The 5th dimension is a hypothetical dimension that is often used in theories of physics, such as string theory, to explain the behavior of particles and the structure of the universe. In the context of spacetime curvature, the 5th dimension is thought to play a role in how gravity behaves and how mass affects spacetime.
Spacetime curvature and time dilation are closely related. As an object moves through curved spacetime, its path will be affected by the gravitational pull of massive objects, causing it to experience time at a different rate compared to an observer in a different location. This is known as time dilation.
Yes, spacetime curvature can be observed and measured through various experiments and observations, such as the bending of light around massive objects, the orbit of planets around the sun, and the gravitational waves detected by LIGO. These observations provide evidence for the existence of spacetime curvature and the effects of mass on it.