Newtonian Cosmology with a Quantum Bounce
arXiv:1605.08378 · doi:10.1140/epjc/s10052-016-4386-0
Abstract
It has been known for some time that the cosmological Friedmann equation deduced from General Relativity can be also obtained within the Newtonian framework under certain assumptions. We use this result together with quantum corrections to the Newtonian potentials to derive a set a of quantum corrected Friedmann equations. We examine the behavior of the solutions of these modified cosmological equations paying special attention to the sign of the quantum corrections. We find different quantum effects crucially depending on this sign. One such a solution displays a qualitative resemblance to other quantum models like Loop Quantum Gravity or non-commutative geometry.
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- Some exact results on quantum Newtonian cosmology
- Spectral Analysis of Quasinormal Modes of Planck Stars
- Newtonian cosmology and Evolution of kappa-deformed universe
- Coulomb Law in the Non-Uniform Euler-Heisenberg Theory
- Non-singular non-flat universes
- Quasinormal modes of Bonanno-Reuter black holes via the Spectral Method