Is the speed of light varying by using Planck satellite and galaxy clusters observations?
new physics, galaxy clusters, Planck satellite, speed of light
The speed of light plays a fundamental role throughout the theoretical physics. Any variation in this quantity can lead to deep modifications on our understanding of nature. In this dissertation, we performed a test for temporal constancy of speed of light by using measurements from the Planck satellite (more precisely, the values of $\Omega_M$ and $\Omega_b$), the galaxy clusters gas mass fraction and SNe data. However, cosmological analyzes via galaxy clusters strongly depend on the mass measurements of these structures. In our analyses, we considered three different values for the mass calibration factor ($K$) found in the literature, one of them coming from the Planck observations. We found that when the value of $K$ used was not that of the Planck satellite, a possible temporal variation of the speed of light was verified. This result shows a possible tension between the constancy of the speed of light, the values of $\Omega_M$ and $\Omega_b$ (from Satellite Planck) and the values of $K$ obtained independently from that of the Planck satellite.