The Study Of Physical Properties For Black Hole In Two-Dimensional Gravity And String Model

The physical properties of black hole in two-dimensional gravity and string model were studied In this thesis. The development and research background of the two-dimensional gravity and string model were introduced in chapter 1; The second chapter analyzed the solvable characters of the field equation in Jackiw-Teitelboim model. The exact solution of scalar field and the expressions of metric and curvature were obtained by using the Sinh-Gordon matter field. These solutions described the naked singularity on space-time ribbon. Moreover, the charged Sine-Gordon soliton solution was derived in two-dimensional dilaton gravity model; the solvable characters of equation of motion in Katanaev-Volovich gravity model with bosonic string coupling were analyzed in chapter 3. According to the numerical solution of nonlinear differential equation of scalar field metric, we obtained the singularity properties of the metric near the foreign origin. The influence of bosonic string coupling to the motion speed of particle in space-time was discussed; In chapter 4, the correspondence relationship between two-dimensional black holes and one-dimensional fluid was studied. The expression of acoustic metric was derived. Moreover, we proved that the black hole metric can be converted to the acoustic metric. We also calculated the energy density,speed and drive potential of one-dimension fluid and discussed the relationship between these physical quantities change with space coordinate.The new works of this thesis are as follows:1. The charged Sine-Gordon soliton solution and the naked singularity solution in two-dimensional dilaton gravity model were obtained.2. The anti-black hole solutions in two-dimensional gravity model with the bosonic string coupling were studied. The influence of the bosonic string coupling to the motion speed of particle in space-time was also analyzed.3. The correspondence relationship between two-dimensional acoustic black holes and one-dimensional fluid was studied. The expression of the energy density, speed and drive potential were obtained. The change law of these physical quantities in space was discussed.