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

Abstract

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 $M_{BH}=const(p-p_{cr}{)}^{\gamma }$.

9 pages, LaTex; v2 references and a comment added

References in corpus (1)

• Critical collapse in 2+1 dimensional AdS spacetime: quasi-CSS solutions and linear perturbations

Cited by in corpus (2)

• Self-similarity in Einstein-Maxwell-dilaton theories and critical collapse
• Self-similar solutions and critical behavior in Einstein-Maxwell-dilaton theory sourced by charged null fluids