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On, Torsion and Rotation in Cosmology
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On, Torsion and Rotation in Cosmology
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Dubbelosix
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On, Torsion and Rotation in Cosmology
«
on:
14/08/2017 21:21:29 »
In a previous post:
https://www.thenakedscientists.com/forum/index.php?topic=71121.0
I showed how you can derive the given result of a Friedmann equation with rotation, but argued that in the two-frame, this expands into a larger equation of motion which may satisfy global consequences. The result was an equation of motion that extended the Friedmann equation with three pseudoforces but the main one of interest was the centrifugal force which we noted, could be possibly related to the expansion of spacetime and the dust inside of it.
Rotation would not be unusual if we considered gravity as part of the full Poincare group of spatial symmetries which involves the spin and torsion (Venzo de Sabbata) also see Sivaram. For instance, Torsion enters the Poisson equation
Where
is
and
is the spin density which can be calculated the following way:
so
I give the following then with rotation and torsion in the form of a Raychauduri equation (with my own approach, with a fluid expansion coefficient replacing explicit third derivative),
Ref:
https://www.amazon.com/Spin-Torsion-Gravitation-Venzo-Sabbata/dp/9810217668
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Last Edit: 14/08/2017 21:29:49 by
Dubbelosix
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