Foliation of the Schwarzschild black hole surrounded by quintessence

Siddiqui A.A., Zafar S.

Department of Mathematics, School of Natural Sciences, National University of Sciences and Technology, Islamabad, Pakistan;

E-mail: Siddiqui azad@sns.nust.edu.pk

In this paper we have first derived the compactified Kruskal-Szekeres like coordinates for the metric describing the Schwarzschild spacetime surrounded by quintessence and have provided maximally extended Carter-Penrose diagram for the geometry. We have then obtained a foliation of the Carter-Penrose diagram of this spacetime by the hypersurfaces having constant mean extrinsic curvature.

Keywords: foliation, quintessence, mean extrinsic curvature.

DOI: 10.18698/2309-7604-2015-1-473-482

Article file: Siddiqui.pdf