2014/09/30 by Sumanta Chakraborty, Soumitra SenGupta · 80 citations
Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Brane #Circular symmetry #Classical mechanics #Cosmology #Cosmology and Gravitation Theories #Curvature #Dark energy #Dark radiation #Geometry #Mathematical analysis #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Spacetime #Symmetric space #Symmetry (geometry) #gr-qc
paper · pdf · doi:10.1140/epjc/s10052-014-3234-3
published in The European Physical Journal C 75(1) (Springer Science+Business Media) · 18 pages; 3 figures; Revised; Matches published version
openalex publication_date 2015/01/01 · arxiv created 2015/01/15 · arxiv updated 2015/01/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Introducing f(\mathcal R) term in the five-dimensional bulk action we derive effective Einstein’s equation on the brane using Gauss–Codazzi equation. This effective equation is then solved for different conditions on dark radiation and dark pressure to obtain various spherically symmetric solutions. Some of these static spherically symmetric solutions correspond to black hole solutions, with parameters induced from the bulk. Specially, the dark pressure and dark radiation terms (electric part of Weyl curvature) affect the brane spherically symmetric solutions significantly. We have solved for one parameter group of conformal motions where the dark radiation and dark pressure terms are exactly obtained exploiting the corresponding Lie symmetry. Various thermodynamic features of these spherically symmetric space-times are studied, showing existence of second order phase transition. This phenomenon has its origin in the higher curvature term with f(\mathcal R) gravity in the bulk.