Astronomy and Astrophysics – Astrophysics – Cosmology and Extragalactic Astrophysics
Scientific paper
2011-05-30
Gen.Relativ.Gravit.44:1007(2012)
Astronomy and Astrophysics
Astrophysics
Cosmology and Extragalactic Astrophysics
4 pages
Scientific paper
10.1007/s10714-011-1323-2
The Einstein-Cartan-Sciama-Kibble theory of gravity naturally extends general relativity to account for the intrinsic spin of matter. Spacetime torsion, generated by spin, induces gravitational repulsion in fermionic matter at extremely high densities and prevents the formation of singularities. Accordingly, the big bang is replaced by a bounce that occurred when the energy density $\epsilon\propto gT^4$ was on the order of $n^2/m_\textrm{Pl}^2$, where $n\propto gT^3$ is the fermion number density and $g$ is the number of thermal degrees of freedom. If the early Universe contained only the known standard-model particles ($g\approx 100$), then the energy density at the big bounce was on the Planck scale where quantum gravity should be used. If, however, much more fermions existed at extremely high energies ($g\gg 100$), then the spin-torsion coupling caused a bounce below the Planck scale, where the classical description of gravity is valid. Such a classical bounce prevents the matter in the contracting Universe from reaching the conditions at which a loop-quantum-gravity bounce would happen.
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