Dual charges for AdS spacetimes and the first law of black hole mechanics
Mahdi Godazgar, Simon Guisset
Abstract
We apply the recent derivations of dual charges in asymptotically flat spacetimes to asymptotically locally anti--de Sitter (AdS) spacetimes. In contrast to the results in the flat case, in the AdS case with a Dirichlet boundary the dual charge contribution vanishes at the leading order. However, by focusing on the Taub-NUT(Newman-Unti-Tambourino)-AdS solution, we show that, nevertheless, more generally, the dual charge is nonvanishing and corresponds to the NUT parameter. We propose a complex first law of black mechanics in the presence of NUT charges that is inspired by the naturally complex nature of the charges derived using Hamiltonian methods.
Topics & Concepts
PhysicsHamiltonian (control theory)Mathematical physicsBlack hole (networking)Charge (physics)Anti-de Sitter spaceNutAdS black holeClassical mechanicsDual (grammatical number)Theoretical physicsQuantum mechanicsMathematicsPhilosophyLinguisticsHolographyRouting protocolAcousticsLink-state routing protocolRouting (electronic design automation)Computer scienceMathematical optimizationComputer networkBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesNoncommutative and Quantum Gravity Theories