What evidence is there that supports the theory of curved space? What does General Relativity predict about the shape of space-time near a large mass (eg, a star)?
The Answer ...
Curved Spacetime
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Curved Spacetime
Curved coordinates alone, such as the polar graph, do not provide a satisfactory model for gravity.
Curved space time
Quantum field theory predicts an apparent superluminal propagation of photons due to vacuum polarization. This prediction raises the question of whether causality may be violated by quantum effects in curved spacetime.
RUBBER SHEETS AND CURVED SPACE
Some props may help you visualize the curvature of space near a black hole. Bear in mind, however, that these props are not real but only tools to help you grasp some exceedingly strange concepts.
Now back to Einstein: his goal was to construct a nice self-contained model with curved space that was consistent with the cosmological principle and also static.
- the orbits of the planets can be explained by having the Sun's warping of space hold the planets in their own areas of curved space.
(a) The branch of mathematics that treats the `large-scale' structure of curved spaces. Topological properties of a geometrical space are those properties that are unchanged by continuous distortion of the space.
(Actually there is no way to even define "relative speed" in a curved spacetime. Relative speed and velocity can only be meaningfully defined in flat spacetime or in sufficiently small (infinitesimal) regions of curved spacetime).
A scalar gravitational field is postulated in addition to the curved space-time metric. Predictions for observable effects differ slightly from those of general relativity. [D89] ...
One of the most profound insights of General Relativity was the conclusion that mass caused space to curve, and objects travelling in that curved space have their paths deflected, exactly as if a force had acted on them.
Lectures on Quantum Mechanics (1966): Much of this book deals with quantum mechanics in curved space-time.
General Theory of Relativity (1975): This 68 page work summarizes Einstein's general theory of relativity.
See also
*Dirac sea ...
Black holes require the general relativistic concept of a curved spacetime: their most striking properties rely on a distortion of the geometry of the space surrounding them.
Event Horizon ...
The slowing of time in curved space time, believed to occur as one approaches the speed of light or crosses the even horizon of a black hole.
Titius-Bode Rule ...
The Einstein field equations or Einstein's equations are a set of ten equations in Einstein's theory of general relativity in which the fundamental force of gravitation is described as a curved spacetime caused by matter and energy....
A path between two points that follows the shortest possible distance between those two points. In a curved space, geodesics are curved lines, and on the surface of spheres, geodesics are great circles.
globular cluster ...
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424. Time Dilation
The slowing of time in curved space time, believed to occur as one approaches the speed of light or crosses the even horizon of a black hole.
is, as a theory, more accurate than Newton's law of gravity, it also requires a significantly more complicated mathematical formalism. Instead of describing the effect of gravitation as a "force", Einstein introduced the concept of curved space-time ...
 See also: Universe, Time, Mass, Energy, Light
  
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