The Early Universe and Planck's Radiation Law
arXiv:1110.5268
Abstract
The classical Friedmann-Lemaître equations are solved using a corrected version of Planck's radiation law. The function curves of the scale parameter a(t) and the variations with temperature a(T) and t(T) are given. It is shown that a reasonable cosmological evolution is only possible in case of flat spatial slices (k=0). The initial singularity is avoided. Horizon and flatness problems do not exist. For low temperatures compared with the Planck Temperatur, the equations yield the usual course of expansion of the standard FLRW model for a radiation universe with k=0 and p=u(T)/3.
26 pages, 12 figures, some small text corrections, new references added
References in corpus (6)
- Photon Gas Thermodynamics in Doubly Special Relativity
- The radiation equation of state and loop quantum gravity corrections
- Loop Quantum Gravity and Cosmology: A dynamical introduction
- Lorentz-violating dynamics in the pre-Planckian Universe
- Planck's Radiation Law in the Quantized Universe
- The Effective Theory of Inflation and the Dark Matter Status in the Standard Model of the Universe