2005/09/01 by Benedict M. N. Carter, Alex B. Nielsen · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Brane #Cosmology and Gravitation Theories #Differential geometry #Gravitation #Massless particle #Perturbation (astronomy) #Quantum Electrodynamics and Casimir Effect #Scalar (mathematics) #Scalar field #Scalar potential #Scalar theories of gravitation #gr-qc
paper · pdf · doi:10.1007/s10714-005-0140-x
published in General Relativity and Gravitation 37(9), 1629-1634 (Springer Science+Business Media) · 5 pages, no figures
openalex publication_date 2005/09/01 · arxiv created 2005/12/05 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The static potential for a massless scalar field shares the essential features of the scalar gravitational mode in a tensorial perturbation analysis about the background solution. Using the fluxbrane construction of [8] we calculate the lowest order of the static potential of a massless scalar field on a thin brane using series solutions to the scalar field's Klein Gordon equation and we find that it has the same form as Newton's Law of Gravity. We claim our method will in general provide a quick and useful check that one may use to see if their model will recover Newton's Law to lowest order on the brane.