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Gravitational collapse with standard and dark energy in the teleparallel equivalent of general relativity
Authors:Gamal G. L. Nashed
Affiliation:a. Mathematics Department, Faculty of Science, King Faisal University, P. O. Box 380 Al-Ahsaa 31982,the Kingdom of Saudi Arabia;b. Mathematics Department, Faculty of Science, Ain Shams University, Cairo, 11566, Egypt;c. Center for Theoretical Physics, British University of Egypt, Sherouk City 11837, P. O. Box 43, Egypt
Abstract:A perfect fluid with self-similarity of the second kind is studied within the framework of the teleparallel equivalent of general relativity (TEGR). A spacetime which is not asymptotically flat is derived. The energy conditions of this spacetime are studied. It is shown that after some time the strong energy condition is not enough to satisfy showing a transition from standard matter to dark energy. The singularities of this solution are discussed.
Keywords:perfect fluid with self-similarity of second kind  teleparallel equivalent of general relativity  asymptotically nonflat spacetime  energy conditions
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