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bchui
- 42
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I ahve always wondered why only the curvature term [tex]R_{\mu,\nu}[/tex] been considered in GR. From differential Geoetry, how about the torsion tensor?
Torsion is a mathematical concept that describes the twisting or rotation of a physical object. In general relativity, torsion is used to describe the curvature of spacetime caused by the presence of mass and energy.
Torsion can cause objects to follow curved paths through spacetime, much like how gravity causes objects to follow curved paths in space. This is because torsion is related to the curvature of spacetime, which determines the paths that objects will take.
Some scientists have proposed theories that use torsion to explain the effects of dark energy and dark matter. However, there is currently no concrete evidence to support these theories and they remain speculative.
Torsion can be measured indirectly through its effects on the curvature of spacetime. This can be done through precise measurements of the motion of objects in space or by observing the bending of light around massive objects.
Torsion plays a crucial role in our understanding of gravity and the behavior of objects in spacetime. It also has implications for theories beyond general relativity, such as string theory and loop quantum gravity, which incorporate torsion into their models of the universe.