caa a22 4500 445386924 CHVBK 20180317143034.0 cr unu---uuuuu 170323e20110401xx s 000 0 eng 10.1007/s10714-010-1064-7 doi (NATIONALLICENCE)springer-10.1007/s10714-010-1064-7 Siddiqui Azad Department of Basic Science and Humanities, EME College, National University of Science and Technology, Peshawar Road, Rawalpindi, Pakistan aut Foliation of the Kottler-Schwarzschild-de Sitter spacetime by flat spacelike hypersurfaces [Elektronische Daten] [Azad Siddiqui] There exist Kruskal like coordinates for the Reissner-Nordstrom (RN) black hole spacetime which are regular at coordinate singularities. Non-existence of such coordinates for the extreme RN black hole spacetime has already been shown. Also the Carter coordinates available for the extreme case are not manifestly regular at the coordinate singularity, therefore, a numerical procedure was developed to obtain free fall geodesics and flat foliation for the extreme RN black hole spacetime. The Kottler-Schwarzschild-de Sitter (KSSdS) spacetime geometry is similar to the RN geometry in the sense that, like the RN case, there exist non-singular coordinates when there are two distinct coordinate singularities. There are no manifestly regular coordinates for the extreme KSSdS case. In this paper foliation of all the cases of the KSSdS spacetime by flat spacelike hypersurfaces is obtained by introducing a non-singular time coordinate. Springer Science+Business Media, LLC, 2010 Black hole nationallicence Foliation nationallicence Coordinate singularity nationallicence General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/4(2011-04-01), 1189-1196 0001-7701 43:4<1189 2011 43 10714 https://doi.org/10.1007/s10714-010-1064-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10714-010-1064-7 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Siddiqui Azad Department of Basic Science and Humanities, EME College, National University of Science and Technology, Peshawar Road, Rawalpindi, Pakistan aut NATIONALLICENCE 773 0- General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/4(2011-04-01), 1189-1196 0001-7701 43:4<1189 2011 43 10714 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer