New Black Holes Solutions in a Modified Gravity

2011/09/30 by Mahamadou Hamani Daouda, M. Hamani Daouda, Manuel E. Rodrigues +1 · 6 citations
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Materials science #Physics #astro-ph.CO #gr-qc #hep-th

paper · pdf · doi:10.5402/2011/341919

published in ISRN Astronomy and Astrophysics 2011, 1-7 (Hindawi Publishing Corporation) · 15 pages, accepted for publication in ISRN Astronomy and Astrophysics

arxiv created 2011/12/14 · openalex publication_date 2011/12/21 · arxiv updated 2012/01/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present some basic concepts of a theory of modified gravity, inspired by the gauge theories, where the commutator algebra of covariant derivative gives us an added term with respect to the General Relativity, which represents the interaction of gravity with a substratum. New spherically symmetric solutions of this theory are obtained and can be viewed as solutions that reproduce the mass, the charge, the cosmological constant, and the Rindler acceleration, without coupling with the matter content, that is, in the vacuum.

Citations

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Measurements of Ω and Λ from 42 High‐Redshift Supernovae
• IX. A determination of the deflection of light by the sun's gravitational field, from observations made at the total eclipse of May 29, 1919
• Dark energy in modified Gauss-Bonnet gravity: Late-time acceleration and the hierarchy problem
• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Supersymmetry and Supergravity
• Review of Particle Physics
• AN INVITATION TO LOOP QUANTUM GRAVITY