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Foliation of the schwarzschild and reissner-nordström space-times by flat space-like hypersurfaces
Center for Advanced Mathematics and Physics, Campus of EME College, National University of Science and Technology, Peshawar Road, Rawalpindi, Pakistan, Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia.
Department of Basic Science and Humanities, EME College, National University of Science and Technology, Peshawar Road, Rawalpindi, Pakistan, Department of Physics and Measurement Technology, Linkoping University, SE-583 81 Linkoping, Sweden.
2006 (English)In: International Journal of Modern Physics D, ISSN 0218-2718, Vol. 15, no 9, 1419-1440 p.Article in journal (Refereed) Published
Abstract [en]

It is known that spherically symmetric space-times admit flat space-like foliations. In this paper a simple procedure for the complete foliation of the Schwarzschild space-time by flat space-like hypersurfaces is developed, using the fact that unforced geodesics are orthogonal to such hypersurfaces. The method is then extended to obtain a complete foliation of the Reissner-Nordström space-time by such hypersurfaces. In this case, as there is a barrier beyond which the geodesies do not go, a complete foliation is obtained by analytically continuing the hypersurfaces beyond the barrier. A duality between imaginary time-like geodesies and space-like hypersurfaces is noted, which also provides complete foliation - but the hypersurfaces are not flat. The features of our foliation are discussed. © World Scientific Publishing Company.

Place, publisher, year, edition, pages
2006. Vol. 15, no 9, 1419-1440 p.
Keyword [en]
Flat space-like hypersurfaces, Foliation, Imaginary geodesics
National Category
Natural Sciences
Identifiers
URN: urn:nbn:se:liu:diva-50136DOI: 10.1142/S0218271806009157OAI: oai:DiVA.org:liu-50136DiVA: diva2:271032
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2017-12-12

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