CMBR in Gödel Universe:A possible test to Einstein-Cartan gravity?
Abstract
Description
A rotating universe represented by the Gödel metric in spacetimes with Cartan torsion is investigated where the Cosmic Microwave Background Radiation (CMBR) is computed from the Gödel rotation of the universe and the spin density of the spinning fluid in Einstein-Cartan gravity.The autoparallel equation in Riemann-Cartan spacetime is shown to lead to the evolution equation of the cosmological perturbation where the spin-rotation coupling is the source of the growth of inhomogeneities.It is shown that temperature anisotropy is within the limits of COBE constraint yielding a value of $\frac{δT}{T}=10^{-7}$.This result opens the possibility of testing Einstein-Cartan gravity from a cosmological experiment such as PLANCK or MAP.
Latex file
Latex file