Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2003-02-19
Int.J.Mod.Phys. A19 (2004) 2495-2504
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
9 pages, LaTex; v2 references and a comment added
Scientific paper
10.1142/S0217751X04017793
We present new analytical self-similar solutions describing a collapse of a massless scalar field in scalar-tensor theories. The solutions exhibit a type of critical behavior. The black hole mass for the near critical evolution is analytically obtained for several scalar-tensor theories and the critical exponent is calculated. Within the framework of the analytical models we consider it is found that the black hole mass law for some scalar-tensor theories is of the form $M_{BH}=f(p-p_{cr})(p-p_{cr})^\gamma$ which is slightly different from the general relativistic law $M_{BH}=const (p-p_{cr})^\gamma$.
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