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

TL;DR
This paper develops a new formula for calculating ADM mass in complex spacetimes and applies it to magnetic black branes, revealing a Hawking-Page phase transition linked to confinement-deconfinement in dual gauge theories.
Contribution
A novel formula for ADM mass in curved spacetime is derived and used to analyze thermodynamics of magnetic black branes, uncovering phase transition phenomena.
Findings
Hawking-Page phase transition observed in magnetic black branes
Dual gauge theory exhibits confinement-deconfinement transition under magnetic flux
New method improves mass evaluation in complex gravitational backgrounds
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.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Cosmology and Gravitation Theories · Quantum Electrodynamics and Casimir Effect
