Cosmologically inspired Kastor-Traschen solution
Abstract
Kastor-Traschen-type solution in a cosmological setup is studied in this article. We examine a hybrid of a Kastor-Traschen metric and a Friedmann-Robertson-Walker-Lemaitre solution. The problem is treated in a general number of dimensions D ≥4, and we include the cosmological constant Λ parameter into the Einstein-Maxwell equations. The matter source consists of two fluids—charged dust and neutral fluid with nonvanishing pressure. The equations of motion for the fluid and electromagnetic field are written down, and an exact solution generalizing the extremely charged Reissner-Nordström black hole to an arbitrary spatial curvature parameter is presented. We examine metric and singularities of curvature scalars, trapped horizons, and energy conditions.
- Publication:
-
Physical Review D
- Pub Date:
- April 2014
- DOI:
- 10.1103/PhysRevD.89.084024
- arXiv:
- arXiv:1307.7508
- Bibcode:
- 2014PhRvD..89h4024C
- Keywords:
-
- 04.20.-q;
- 04.20.Dw;
- 04.20.Jb;
- Classical general relativity;
- Singularities and cosmic censorship;
- Exact solutions;
- General Relativity and Quantum Cosmology
- E-Print:
- Treatment of energy conditions extended, Misner-Sharp mass added, more detailed discussion of trapped horizons and surfaces