Self-similar collapse of a scalar field in dilaton gravity and critical behaviour

Details Self-similar collapse of a scalar field in dilaton gravity and critical behaviour Self-similar collapse of a scalar field in dilaton gravity and critical behaviour

2003-02-19

arxiv.org/abs/gr-qc/0302077v2

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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