Solutions for f(R) gravity coupled with electromagnetic field

2011/10/31 by S. Habib Mazharimousavi, S. Habib Mazharimousavi, M. Halilsoy +1 · 50 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Electromagnetic field #Electromagnetic radiation #Field (mathematics) #Magnetic monopole #Noncommutative and Quantum Gravity Theories #Nonlinear system #Sign (mathematics) #Symmetry (geometry) #Term (time) #gr-qc

paper · pdf · doi:10.1140/epjc/s10052-011-1851-7

published in The European Physical Journal C 72(1) (Springer Science+Business Media) · 7 pages no figure, final version for publication in European Physical Journal C

arxiv created 2011/12/16 · openalex publication_date 2012/01/01 · arxiv updated 2012/01/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

In the presence of external, linear / nonlinear electromagnetic fields we integrate f(R) ∼ R+2α\surd(R+const.) gravity equations. In contrast to their Einsteinian cousins the obtained black holes are non-asymptotically flat with a deficit angle. In proper limits we obtain from our general solution the global monopole solution in f(R) gravity. The scale symmetry breaking term adopted as the nonlinear electromagnetic source adjusts the sign of the mass of the resulting black hole to be physical.

Citations

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• A simple theorem to generate exact black-hole solutions
• Relativistic Equations for Adiabatic, Spherically Symmetric Gravitational Collapse
• Black hole solutions inf(R)gravity coupled with nonlinear Yang-Mills field
• One-loopf(R) gravity in de Sitter universe
• INTRODUCTION TO MODIFIED GRAVITY AND GRAVITATIONAL ALTERNATIVE FOR DARK ENERGY