Brane universe and holography in spacetime of charged AdS dilaton black hole

by Dr 爱晨 李 (University of Barcelona (ICCUB))

Wednesday 16 Sep 2020, 12:00 → 13:00 Asia/Shanghai

数理楼320 (北京工业大学)

摘要：In the background of a charged AdS dilaton black hole, we investigate the movement of a selfgraviting 3-brane and relevant holographic effects as the brane move close to the AdS boundary. The induced metric on brane corresponds to an exact FLRW geometry, while the evolution of brane is determined by Israel junction condition and the effective Einstein field equation on brane together. When the brane approaches the AdS boundary, AdS/CFT correspondence implies that a radiation dominated FLRW-universe (P =1/3ρ) should be given. According to the holographic renormalization procedure, we involve an appropriate surface counterterm into the gravitational action for achieving P =1/3ρ on brane. This surface counterterm also plays a important role in caculating the mass of charged AdS dilaton black hole. Finally, we obtain the thermodynamic quantities and give an extend Cardy-Verlinde formula on brane.