Abstract
We consider a two-parameter family of equations of state for perfect fluids which forms the limiting case of a condition employed in a uniqueness proof of static, asymptotically flat solutions of the field equations. We find a geometric interpretation of this family and determine, for each of its members, the one-parameter family of regular spherically symmetric solutions.
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References
Lindblom, L., and Masood-ul-Alam, A. K. M. (1993). “On the Spherical Symmetry of Static Stellar Models”,Commun. Math. Phys., to appear.
Simon, W. (1993).Class. Quant. Grav. 10, 177.
Buchdahl, H. A. (1964).Astrophys. J. 140, 1512.
Lindblom, L., and Masood-ul-Alam, A. K. M. (1993). InDirections in General Relativity II: A Festschrift for Dieter Brill, B. L. Hu and T. Jacobson, eds. (Cambridge University Press, Cambridge) in press.
Beig, R., and Simon, W. (1991).Lett. Math. Phys. 21, 245.
Rendall, A., Schmidt, B. (1991).Class. Quant. Grav. 8, 985.
Lindblom, L. (1980).J. Math. Phys. 21, 1455.
Buchdahl, H. A. (1959).Phys. Rev. 116, 1027.
Beig, R., and Simon, W. (1992).Commun. Math. Phys. 144, 373.
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Simon, W. A class of static perfect fluid solutions. Gen Relat Gravit 26, 97–101 (1994). https://doi.org/10.1007/BF02088212
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DOI: https://doi.org/10.1007/BF02088212