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Gravitational Collapse of Self-Similar Perfect Fluid in 2 + 1 Gravity |
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| Authors: | A. Y. Miguelote N. A. Tomimura Anzhong Wang |
| Affiliation: | 1. Instituto de Física, Universidade Federal Fluminense, Av. Litoranea s/n, Boa Viagem, 24210-340, Niterói, RJ, Brazil 2. CASPER, Physics Department, Baylor University, Waco, TX, 76798-7316, USA 3. Department of Physics, Zhejiang University of Technology, Hang Zhou, 310032, People's Republic of China 4. Department of Physics, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois, 61801-3080, USA 5. Departamento de Física Teórica, Universidade do Estado do Rio de Janeiro, Rua S?o Francisco Xavier 524, Maracan?, 20550-013, Rio de Janeiro, RJ, Brazil |
| Abstract: | Perfect fluid with kinematic self-similarity is studied in 2+1 dimensional spacetimes with circular symmetry, and various exact solutions to the Einstein field equations are given. These include all the solutions of dust and stiff perfect fluid with self-similarity of the first kind, and all the solutions of perfect fluid with a linear equation of state and self-similarity of the zeroth and second kinds. It is found that some of these solutions represent gravitational collapse, and the final state of the collapse can be either a black hole or a null singularity. It is also shown that one solution can have two different kinds of kinematic self-similarity. |
| Keywords: | Self-similarity 2 + 1-dimensional space-time collapse |
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