Abstract
Einstein's interior field equations in general relativity are considered when spacetime is static and axisymmetric and the energy-momentum tensor represents an anisotropic fluid. After imposing a set of simplifying assumptions a two-parameter solution is derived and its properties are discussed. The solution is found to be physically reasonable in a certain range of the parameters in which case the metric could represent a core of anisotropic matter.
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References
Haggag, S. and Marek, J.: 1981,Nuovo Cimento B51, 45.
Hawking, S. W. and Ellis, G. F. R.: 1973,The Large Scale Structure of Space-Time, Cambridge University Press, Cambridge, p. 89.
Herrera, L., Ruggeri, G. J., and Witten, L.: 1982,Phys. Rev. D24, 2527.
Kerr, R. P.: 1963,Phys. Rev. Letters 11, 237.
Kramer, D.: 1984,Class. Quantum Grav. 1, L3.
Kramer, D.: 1986,Astron. Nachr. 307, 309.
Kramer, D., Stephani, H., MacCallum, M. A. H., and Herlt, E.: 1980,Exact Solutions of Einstein's Field Equations, Chapter 14, Cambridge University Press, Cambridge.
Krori, K. D., Borgohain, P., and Ranjumani Devi: 1984,Can. J. Phys. 62, 239.
Schwarzschild, K.: 1916,Sitz. Preuss. Akad. Wiss., p. 424.
Steward, B. W.: 1982,J. Phys. A 15, 2419.
Wahlquist, H.: 1968,Phys. Rev. 172, 1291.
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Haggag, S. A static axisymmetric anisotropic fluid solution in general relativity. Astrophys Space Sci 173, 47–51 (1990). https://doi.org/10.1007/BF00642561
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DOI: https://doi.org/10.1007/BF00642561