The phase transition of higher dimensional Charged black holes

In this paper,we have studied phase transitions of higher dimensional charge black hole with spherical symmetry. we calculated the local energy and local temperature, and find that these state parameters satisfy the first law of thermodynamics. We analyze the critical behavior of black hole thermodynamic system by taking state parameters $(Q,\Phi)$ of black hole thermodynamic system, in accordance with considering to the state parameters $(P,V)$ of Van der Waals system respectively. we obtain the critical point of black hole thermodynamic system, and find the critical point is independent of the dual independent variables we selected. This result for asymptotically flat space is consistent with that for AdS spacetime, and is intrinsic property of black hole thermodynamic system.Comment: 15 pages,14 figures,references adjuste

The Phase Transition of Higher Dimensional Charged Black Holes

We have studied phase transitions of higher dimensional charge black hole with spherical symmetry. We calculated the local energy and local temperature and find that these state parameters satisfy the first law of thermodynamics. We analyze the critical behavior of black hole thermodynamic system by taking state parameters (Q,Φ) of black hole thermodynamic system, in accordance with considering the state parameters (P,V) of van der Waals system, respectively. We obtain the critical point of black hole thermodynamic system and find that the critical point is independent of the dual independent variables we selected. This result for asymptotically flat space is consistent with that for AdS spacetime and is intrinsic property of black hole thermodynamic system

Hawking and Unruh effects of the cosmological horizon in a higher-dimensional Kerr-de Sitter spacetime by the global embedding approach

With appropriately chosen parameters, there exist the black-hole horizon and the cosmological horizon in the higher-dimensional Kerr-de Sitter spacetime, where these two horizons generally have different Hawking temperatures. In this letter we first reduce the higher-dimensional Kerr-de Sitter spacetime line element to a 2-dimensional one (the (t−r) sector) using the dimensional reduction method near the cosmological horizon, and then investigate the Unruh/Hawking effects of the cosmological horizon by the global embedding approach

On Thermodynamics of Charged and Rotating Asymptotically AdS Black Strings

In this paper, we study thermodynamics of cylindrically symmetric black holes and calculate the equation of states and heat capacity of charged and rotating black strings. In the process, we treat the cosmological constant as a thermodynamic pressure and its conjugate quantity as a thermodynamic volume. It is shown that, when taking the equivalence between the thermodynamic quantities of black strings and the ones of general thermodynamic system, the isothermal compressibility and heat capacity of black strings satisfy the stability conditions of thermodynamic equilibrium and no divergence points exist for heat capacity. Thus, we obtain the conclusion that the thermodynamic system relevant to black strings is stable and there is no second-order phase transition for AdS black holes in the cylindrically symmetric spacetime