We investigate quasi-local energy distribution and thermodynamics of the Reissner-Nordstrm black hole space-time surrounded by quintessence.We use the quasi-local energy distribution from Einstein energy-momentum co...We investigate quasi-local energy distribution and thermodynamics of the Reissner-Nordstrm black hole space-time surrounded by quintessence.We use the quasi-local energy distribution from Einstein energy-momentum complex.We plot the variation of the energies,temperature and heat capacity with the state parameter related to the quintessence ω_q.We show that due to the presence of quintessence,the total energy of the outer region as well as the temperature and heat capacity decreases with the increase of the density of quintessence,while the total energy of the black hole region increases.展开更多
We address the problem of integrability of a coupled dispersionless system recently introduced by Zhaqilao,Zhao and Li[Chin.Phys.B 18(2009)1780]which physically describes the propagation of electromagnetic fields with...We address the problem of integrability of a coupled dispersionless system recently introduced by Zhaqilao,Zhao and Li[Chin.Phys.B 18(2009)1780]which physically describes the propagation of electromagnetic fields within an optical nonlinear medium,but also arrives in the physical description of a charged object dynamics in an external magnetic field.Following the prolongation structure analysis developed by Wahlquist and Estabrook,we derive a more general form of Lax pairs of the previous coupled dispersionless system and its concrete nonAbelian Lie algebra resorting to a hidden symmetry.Also,we construct the Bäcklund transformation of the system using the Riccati form of the linear eigenvalue problem.展开更多
Energy and thermodynamics are investigated in the Schwarzschild black hole spacetime when considering corrections due to quantum vacuum fluctuations. The Einstein and M?ller prescriptions are used to derive the expre...Energy and thermodynamics are investigated in the Schwarzschild black hole spacetime when considering corrections due to quantum vacuum fluctuations. The Einstein and M?ller prescriptions are used to derive the expressions of the energy in the background. The temperature and heat capacity are also derived. The results show that due to the quantum fluctuations in the background of the Schwarzschild black hole, all the energies increase and the Einstein energy differs from M?ller's one. Moreover, when increasing the quantum correction factor aa, the difference between Einstein and M?ller energies, the Unruh–Verlinde temperature as well as the heat capacity of the black hole increases while the Hawking temperature remains unchanged.展开更多
We investigate quasi-normal (QN) modes of gravitational perturbation around a Reissner-Nordstroem black hole surrounded by quintessence. The third-order Wentzel-Kramers-Brillouin approximation is used to evaluate QN...We investigate quasi-normal (QN) modes of gravitational perturbation around a Reissner-Nordstroem black hole surrounded by quintessence. The third-order Wentzel-Kramers-Brillouin approximation is used to evaluate QN frequencies. The behavior of the gravitational perturbation is plotted for some frequencies. Due to the presence of quintessence, QN modes of the Reissner-Nordstroem black hole damp at a slower rate.展开更多
文摘We investigate quasi-local energy distribution and thermodynamics of the Reissner-Nordstrm black hole space-time surrounded by quintessence.We use the quasi-local energy distribution from Einstein energy-momentum complex.We plot the variation of the energies,temperature and heat capacity with the state parameter related to the quintessence ω_q.We show that due to the presence of quintessence,the total energy of the outer region as well as the temperature and heat capacity decreases with the increase of the density of quintessence,while the total energy of the black hole region increases.
文摘We address the problem of integrability of a coupled dispersionless system recently introduced by Zhaqilao,Zhao and Li[Chin.Phys.B 18(2009)1780]which physically describes the propagation of electromagnetic fields within an optical nonlinear medium,but also arrives in the physical description of a charged object dynamics in an external magnetic field.Following the prolongation structure analysis developed by Wahlquist and Estabrook,we derive a more general form of Lax pairs of the previous coupled dispersionless system and its concrete nonAbelian Lie algebra resorting to a hidden symmetry.Also,we construct the Bäcklund transformation of the system using the Riccati form of the linear eigenvalue problem.
文摘Energy and thermodynamics are investigated in the Schwarzschild black hole spacetime when considering corrections due to quantum vacuum fluctuations. The Einstein and M?ller prescriptions are used to derive the expressions of the energy in the background. The temperature and heat capacity are also derived. The results show that due to the quantum fluctuations in the background of the Schwarzschild black hole, all the energies increase and the Einstein energy differs from M?ller's one. Moreover, when increasing the quantum correction factor aa, the difference between Einstein and M?ller energies, the Unruh–Verlinde temperature as well as the heat capacity of the black hole increases while the Hawking temperature remains unchanged.
文摘We investigate quasi-normal (QN) modes of gravitational perturbation around a Reissner-Nordstroem black hole surrounded by quintessence. The third-order Wentzel-Kramers-Brillouin approximation is used to evaluate QN frequencies. The behavior of the gravitational perturbation is plotted for some frequencies. Due to the presence of quintessence, QN modes of the Reissner-Nordstroem black hole damp at a slower rate.