Fluid black holes with electric field

• Main Author: Inyong Cho
• Format: Article
• Language: English
• Published: SpringerOpen 2019-01-01
• Series: European Physical Journal C: Particles and Fields
• Online Access: http://link.springer.com/article/10.1140/epjc/s10052-019-6536-7

Abstract We investigate the gravitational field of static perfect-fluid in the presence of electric field. We adopt the equation of state $$p(r)=-\rho (r)/3$$ p(r)=-ρ(r)/3 for the fluid in order to consider the closed ($$S_3$$ S3 ) or the open ($$H_3$$ H3 ) background spatial topology. Depending on the scales of the mass, spatial-curvature and charge parameters (K, $$R_0$$ R0 , Q), there are several types of solutions in $$S_3$$ S3 and $$H_3$$ H3 classes. Out of them, the most interesting solution is the Reisner–Norström type of black hole. Due to the electric field, there are two horizons in the geometry. There exists a curvature singularity inside the inner horizon as usual. In addition, there exists a naked singularity at the antipodal point in $$S_3$$ S3 outside the outer horizon due to the fluid. Both of the singularities can be accessed only by radial null rays.