2006/01/31 by K. A. Bronnikov, S. A. Kononogov, V. N. Melnikov · 2 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Brane #Brane cosmology #Cosmological constant #Cosmology and Gravitation Theories #Differential geometry #Einstein #Extra dimensions #Gravitation #Graviton #f(R) gravity #gr-qc
paper · pdf · doi:10.1007/s10714-006-0300-7
published as Gen.Rel.Grav. 38 (2006) 1215-1232 · Brief review, 16 pages, 92 references. Some description and references added
arxiv created 2006/02/10 · openalex publication_date 2006/06/07 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We discuss possible variations of the effective gravitational constant with length scale, predicted by most of alternative theories of gravity and unified models of physical interactions. After a brief general exposition, we review in more detail the predicted corrections to Newton's law of gravity in diverse brane world models. We consider various configurations in 5 dimensions (flat, de Sitter and AdS branes in Einstein and Einstein-Gauss-Bonnet theories, with and without induced gravity and possible incomplete graviton localization), 5D multi-brane systems and some models in higher dimensions. A common feature of all models considered is the existence of corrections to Newton's law at small radii comparable with the bulk characteristic length: at such radii, gravity on the brane becomes effectively multidimensional. Many models contain superlight perturbation modes, which modify gravity at large scale and may be important for astrophysics and cosmology.