2010/05/31 by M. Bebronne, Michael V. Bebronne
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Charge (physics) #Classical mechanics #Cosmology and Gravitation Theories #General relativity #Geometry #Gravitation #Graviton #Massive gravity #Mathematical physics #Mathematics #Perturbation theory (quantum mechanics) #Physics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Scalar (mathematics) #Theoretical physics #Yukawa potential #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.82.024020
published as Phys.Rev.D82:024020,2010
openalex publication_date 2010/07/16 · arxiv created 2010/07/22 · arxiv updated 2014/11/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The static vacuum spherically symmetric solutions of massive gravity theories possess two integration constants: the mass M and a scalar charge S. The presence of this scalar charge reflects the modification of the gravitational interaction as compared to general relativity. Surprisingly, these solutions have an asymptotic behavior different from that obtained in the linear perturbation theory. The aim of this paper is to understand how these modified spherically symmetric solutions emerge from a quasilinear approximation in order to generalize them to any arbitrary mass distribution. Along with these modified solutions, we found a new class of static solutions having a Yukawa shape.