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Monotone-short solutions of the Tolman-Oppenheimer-Volkoff-de Sitter equation
Birkhoff, G. D. , Relativity and Modern Physics (Harvard University Press, Cambridge, Massachusetts, 1923).
, C. G.
, “General relativistic static fluid solutions with cosmological constant,” Ph. D. Diplomarbeit, Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut), Golm, 2002; e-print arXiv:gr-qc/0308057
Böhmer, C. G. , “Static perfect fluid balls with given equation of state and cosmological constant,” Ukr. J. Phys. 50, 1219–1225 (2005).
Brady, P. R. , Chambers, C. M. , Laarakkers, W. G. , and Poisson, E. , “Radiative falloff in Schwarzschild-de Sitter spacetime,” Phys. Rev. D 60, 064003 (1999).
Chandrasekhar, S. , An Introduction to the Study of Stellar Structure (University of Chicago Press, 1939).
Coddington, E. A. and Levinson, N. , Theory of Ordinary Differential Equations (McGraw-Hill, 1955).
Einstein, A. , “Kosmologische Betrachungen zur allgemeinen relativitätstheorie,” Sitzungsber. Preuss. Akad. Wiss. VI, 142–152 (1917).
Einstein, A. , “Zum kosmologischen Problem der allgemeinen relativitätstheorie,” Sitzungsber. Preuss. Akad. Wiss. XII, 235–237 (1931).
Joseph, D. D. and Lundgren, T. S. , “Quasilinear Dirichlet problem driven by positive sources,” Arch. Ration. Mech. Anal. 49, 241–269 (1973).
Landau, L. D. and Lifshitz, E. M. , The Classical Theory of Fields, 4th ed. (Pergamon Press, Oxford, 1975) [Teorija Polja (Nauka, Moskva, 1973)].
Makino, T. , “On spherically symmetric stellar models in general relativity,” J. Math. Kyoto Univ. 38(1), 55–69 (1998).
Makino, T. , “On the spiral structure of the (R,M)-diagram for a stellar model of the Tolman-Oppenheimer-Volkoff equation,” Funkcial. Ekvac. 43, 471–489 (2000).
Pais, A. , Subtle is the Lord: The Science and the Life of Albert Einstein (Oxford University Press, 1982).
Rendall, A. D. and Schmidt, B. G. , “Existence and properties of spherically symmetric static fluid bodies with a given equation of state,” Classical Quantum Gravity 8, 985–1000 (1991).
de Sitter, W. , “On the relativity of inertia. Remarks concerning Einstein’s latest hypothesis,” Proc. R. Acad. Amsterdam XIX, 1217–1225 (1917).
Zeldovich, Y. B. and Novikov, I. D. , Relativistic Astrophysics (University of Chicago Press, 1971), Vol. I.
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It is known that spherically symmetric static solutions of the Einstein equations with a positive cosmological constant for the energy-momentum tensor of a barotropic perfect fluid are governed by the Tolman-Oppenheimer-Volkoff-de Sitter equation. Some sufficient conditions for the existence of monotone-short solutions (with finite radii) of the equation are given in this article. Then we show that the interior metric can extend to the exterior Schwarzschild-de Sitter metric on the exterior vacuum region with twice continuous differentiability. In addition, we investigate the analytic property of the solutions at the vacuum boundary. Our result (Theorem 1) can be considered as the de Sitter version of the result by Rendall and Schmidt [Classical Quantum Gravity
8, 985-1000 (1991)]. Furthermore, one can see that there are different properties of the solutions with those of the Tolman-Oppenheimer-Volkoff equation (with zero cosmological constant) in certain situation.
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