2012/09/04 by Mathieu Beau, Beau, Mathieu
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #Galaxies: Formation, Evolution, Phenomena #General Physics (physics.gen-ph) #General Relativity and Quantum Cosmology (gr-qc) #Relativity and Gravitational Theory #gr-qc #physics.gen-ph
paper · pdf · doi:10.48550/arxiv.1209.0611
In French. English version will be written soon !! Comment and suggestion are more than welcome
openalex publication_date 2012/09/04 · arxiv created 2014/09/26 · arxiv updated 2014/09/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this article we propose to add stress-energy tensor to the Einstein equations, assuming that the matter-energy and the metric space-time is nothing but a continuous medium with some elastic properties. We first give a general expression of the stress tensor which is linearly related to the strain tensor. Then, we give the particular expression of the stress tensor for a spatially homnogeneous and isotropic cosmological medium. After that we derive the modified Friedmann equations. In first approximation, we end up with the usual term Λgμν , where the cosmological constant Λ=Kε is related with the bulk modulus K and the relative variation of volume (dilatation). Then we derive corrections to the standard model in second approximation, which depend on these two new parameters.