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

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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Scientific paper

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.

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