Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2007-11-02
J.Exp.Theor.Phys.104:743-750,2007; Zh.Eksp.Teor.Fiz.104:851-859,2007
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
12 pages, 2 figures
Scientific paper
10.1134/S1063776107050081
A spherically symmetric evolution model of self-gravitating matter with the equation of state P=wE (where w=const<-1) is considered. The equations of the model are written in the frame of reference comoving with matter. A criterion for the existence and formation of a horizon is defined. Part of the Einstein equations is integrated analytically. The initial conditions and the constraints imposed on these conditions in the presence of a horizon are determined. For small |1+w| an analytic solution to spherically symmetric time-dependent Einstein equations is obtained. Conditions are determined under which the dynamics of matter changes from collapse to expansion. Characteristic times of the evolution of the system are evaluated. It is proved that the accretion of phantom matter (for w<-1) onto a black hole leads to the decreases of the horizon radius of the black hole (i.e., the black hole is "dissolved").
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