ADM Mass on General Spacetime and Hawking-Page Phase Transition in Magnetic Black Brane
arXiv:1009.4332
Abstract
We derive a formula which enable us to evaluate the ADM mass in a more general curved spacetime. We apply the formula to evaluate the thermodynamical quantities of the Melvin magnetic black D-branes. We see that there is the Hawking-Page phase transition and the corresponding dual gauge theory will show the confinement-deconfinement transition under magnetic flux.