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ADM Mass on General Spacetime and Hawking-Page Phase Transition in Magnetic Black Brane

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.

preprint2010arXivOpen access
Wung-Hong Huang
gr-qc
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Wung-Hong Huang

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