Self-gravitating fluid in a conformally-flat space-time |
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Authors: | D R K Reddy |
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Institution: | (1) Department of Applied Mathematics, Andhra University, Waltair, India |
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Abstract: | The Einstein field equations for an irrotational perfect fluid with pressurep, equal to energy density are studied when the space-time is conformally flat. The coordinate transformation to co-moving coordinates is discussed. The energy and Hawking-Penrose inequalities are studied. Static and non-static solutions of the field equations are obtained. It is interesting to note that in the static case the only spherically-symmetric conformally flat solution for self-gravitating fluid is simply the empty flat space-time of general relativity. |
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