Back reaction effects in two-dimensional dilaton gravity

Abstract

In this work we find static black hole solutions in the context of two-dimensional dilaton gravity, which is modified by the addition of an R 2 term. This term arises from the one-loop effective action of a massive scalar field in its large mass approximation. The basic feature of this term is that it does not contribute to the Hawking radiation of the classical black hole backgrounds of the model. From this point of view, a class of the solutions derived are interpreted as describing back reaction effects. In particular it is argued that the evolution of a black hole via nonthermal signals is possible. Nevertheless, this evolution seems to be ''soft,'' in the sense that it does not lead to the evaporation of a black hole, leaving the Hawking radiation as the dominant mechanism for this process. ͓S0556-2821͑96͒05522-1͔

Static and Nonstatic Quantum Effects in Two-Dimensional Dilaton Gravity

“…The analysis here is presented in the abovementioned coordinate system giving emphasis in the study of the region behind the event horizon and in the appearence of the singularity. This discussion completes the results of [3]. In section 4 we consider the non-static case.…”

“…This is always possible since the number of degrees of freedom (ρ and φ in our case) is less than the number of equations so one of the degrees of freedom can have this property. Note that the dilaton field cannot be a monotonic function as we have seen from the analysis in [3]. The above monotonicity property is also true in fourdimensional black hole solutions [8].…”

“…Since the solutions we seek for have to meet the asymptotic flatness condition, the fields A(ρ), H(ρ) have vanishing limit as ρ → −∞. So we can solve the nonlinear system of equations by iteration following the method adopted in [3]. The linearized system reads:…”

“…In section 2 we formulate the problem and give the field equations both in covariant form and in the conformal gauge using light cone coordinates, which are more convenient to incorporate time dependence. In section 3 we point out the basic features of the static solutions found in [3]. The analysis here is presented in the abovementioned coordinate system giving emphasis in the study of the region behind the event horizon and in the appearence of the singularity.…”

Positive specific heat of the quantum corrected dilaton black hole

“…A direct calculation of the backreaction effects in the CGHS model with massive scalars was performed in ref. [34]. These authors, however, invoked a large mass expansion for the scalars which makes any comparison to our calculations hardly possible.…”