2007/05/11 by S. Deser, O. Sarioglu, Özgür Sarıoğlu +2
Physics and Astronomy · #Black Holes and Theoretical Physics #Circular symmetry #Classical mechanics #Cosmological constant #Cosmology and Gravitation Theories #Deriving the Schwarzschild solution #Differential geometry #Einstein #General relativity #Geometry #Gravitation #Kerr metric #Mathematical analysis #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Schwarzschild metric #Schwarzschild radius #Singularity #Symmetry (geometry) #Theoretical physics #gr-qc #hep-th
paper · pdf · doi:10.1007/s10714-007-0508-1
published as Gen.Rel.Grav.40:1-7,2008 · 6 pages, no figures, REVTeX 4
arxiv created 2007/05/11 · openalex publication_date 2007/08/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We obtain the static spherically symmetric solutions of a class of gravitational models whose additions to the General Relativity (GR) action forbid Ricci-flat, in particular, Schwarzschild geometries. These theories are selected to maintain the (first) derivative order of the Einstein equations in Schwarzschild gauge. Generically, the solutions exhibit both horizons and a singularity at the origin, except for one model that forbids spherical symmetry altogether. Extensions to arbitrary dimension with a cosmological constant, Maxwell source and Gauss-Bonnet terms are also considered.