2004/10/31 by Stephen C. Davis · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Brane #Classical mechanics #Cosmology and Gravitation Theories #Curvature #Einstein #Gauss–Bonnet theorem #Geometry #Gravitation #Gravitational potential #Induced gravity #Mathematical physics #Mathematics #Newtonian potential #Noncommutative and Quantum Gravity Theories #Physics #Quantum gravity #Quantum mechanics #Scalar (mathematics) #Scalar curvature #Scalar field #Scalar potential #Theoretical physics #hep-th
paper · pdf · doi:10.1103/physrevd.72.024026
published as Phys.Rev. D72 (2005) 024026 · 6 pages
openalex publication_date 2005/07/27 · arxiv created 2005/07/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Gravity on a brane world with higher order curvature terms and a conformally coupled bulk scalar field is investigated. Solutions with nonstandard large distance gravity are described. It is not necessary to include a scalar field potential in order to obtain the solutions. The resulting Newton potential is qualitatively similar to that of the Dvali-Gabadadze-Porrati (DGP) model. For suitable parameter choices the model is ghost free. Like many other brane gravity models with modified large distance Newton potentials, the short distance gravity is scalar-tensor. The scalar couples with gravitational strength, and so the model is not compatible with observation.