2014/11/20 by Basem Kamal El-Menoufi, Lorenzo Sorbo
Physics and Astronomy · #Black Holes and Theoretical Physics #Brane #Classical mechanics #Cosmology and Gravitation Theories #Einstein #Extra dimensions #Geometry #Gravitation #Graviton #Massless particle #Mathematical physics #Minkowski space #Physics #Planck mass #Quantum Electrodynamics and Casimir Effect #Randall–Sundrum model #Scalar (mathematics) #Theoretical physics #hep-th
paper · pdf · doi:10.1103/physrevd.91.064023
published as Phys. Rev. D 91, 064023 (2015) · 9 pages
arxiv created 2014/11/20 · openalex publication_date 2015/03/11 · arxiv updated 2015/03/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
We discuss the possibility of localizing Einstein gravity on a three-brane embedded in a five-dimensional Minkowski space by giving a space-dependent mass to the graviton. We show that, with an overall fine tuning of the mass profile, it is possible to localize a massless graviton with a finite mass gap from the massive Kaluza-Klein modes. The theory does not contain ghosts and no scalar massless mode is sourced by brane matter. A massless vector mode is strongly coupled to the flux of energy momentum into the extra dimension, so that it is not sourced as long as only brane-localized matter is considered. In the case where the mass profile has a deltalike shape, the four-dimensional Planck mass M4 is related to the five-dimensional one, M5, by M42=M53/m0, where m0 is the mass of the first Kaluza-Klein mode of the graviton.