DGP black holes on the brane

2012/09/23 by Radouane Gannouji
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Brane #Cosmology and Gravitation Theories #Exact solutions in general relativity #Limit (mathematics) #Schwarzschild radius #Stability (learning theory) #gr-qc #hep-th

paper · pdf · doi:10.1140/epjc/s10052-018-5809-x

published as Eur. Phys. J. C (2018) 78: 318 · 5 pages, 1 figure

arxiv created 2012/09/23 · openalex created_date 2016/06/24 · openalex publication_date 2018/04/01 · arxiv updated 2018/04/24 · openalex updated_date 2026/08/05

Abstract

We find an exact solution on the brane for a static black hole in the DGP model. In the appropriate limit we recover the two known solutions, the Schwarzschild and the Reissner–Nordström solutions with tidal charge. The solution has two branches, which correspond asymptotically to a de Sitter or flat Universe. Finally, we study the linear stability of the solutions. We find that the Regge–Wheeler and the Zerilli potential are positive and conclude on the stability.

Citations

• More on ghosts in the Dvali-Gabadaze-Porrati model
• Black hole solutions in braneworlds with induced gravity
• Stability and existence analysis of static black holes in pure Lovelock theories
• Dirichlet Branes and Ramond-Ramond Charges
• Challenges to the DGP model from horizon-scale growth and geometry
• Massive and mass-less Yang-Mills and gravitational fields
• The galileon as a local modification of gravity
• Stability of a Schwarzschild Singularity