Plane symmetric self-gravitating fluids with pressure equal to energy density |
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Authors: | Romualdo Tabensky A. H. Taub |
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Affiliation: | (1) Physics Department, University of California, Berkeley, California, USA;(2) Present address: Departamento de Fisica, Universidad de Chile, Santiago, Chile;(3) Mathematics Department, University of California, Berkeley, California, USA |
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Abstract: | Solutions of the Cauchy problem associated with the Einstein field equations which satisfy general initial conditions are obtained under the assumptions that (1) the source of the gravitational field is a perfect fluid with pressure,p, equal to energy density,w, and (2) the space-time admits the three parameter group of motions of the Euclidean plane, that is, the space-time is plane symmetric. The results apply to the situation where the source of the gravitational field is a massless scalar field since such a source has the same stress-energy tensor as an irrotational fluid withp=w. The relation between characteristic coordinates and comoving ones is discussed and used to interpret a number of special solutions. A solution involving a shock wave is discussed. |
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