Dual Charges for AdS Spacetimes and the First Law of Black Hole Mechanics

Abstract

We apply the recent derivations of dual charges in asymptotically flat spacetimes to asymptotically locally 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-AdS solution, we show that nevertheless, more generally, the dual charge is non-vanishing 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.

34 pages; published version

References in corpus (17)

• Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
• Null boundary phase space: slicings, news and memory
• Gravity from symmetry: Duality and impulsive waves
• Charge Algebra in Al(A)dS${}_n$ Spacetimes
• Asymptotic gravitational charges
• Topological Terms and the Misner String Entropy
• Hamiltonian derivation of dual gravitational charges
• Nonlinear extensions of gravitating dyons: from NUT wormholes to Taub-Bolt instantons
• A note on dual gravitational charges
• Brown-York charges with mixed boundary conditions
• Hairy Taub-NUT/Bolt-AdS solutions in Horndeski theory
• Gravity as a constrained BF theory: Noether charges and Immirzi parameter
• Complement to thermodynamics of dyonic Taub-NUT-AdS spacetime
• Higher derivative asymptotic charges and internal Lorentz symmetries
• A Komar-like integral for mass and angular momentum of asymptotically AdS black holes in Einstein gravity
• Black holes with topological charges in Chern-Simons AdS${}_5$ supergravity
• The entropy of Taub-Bolt-AdS from an improved action principle

Cited by in corpus (9)

• Classifying topology of consistent thermodynamics of the four-dimensional neutral Lorentzian NUT-charged spacetimes
• Flat from anti-de Sitter
• Thermodynamics of Taub-NUT and Plebanski Solutions
• Thermodynamics of accelerating AdS${}_4$ black holes from the covariant phase space
• Consistent mass formulas for higher even-dimensional Taub-NUT spacetimes and their AdS counterparts
• Ehlers, Carroll, Charges and Dual Charges
• Consistent mass formulas for higher even-dimensional Reissner-Nordström-NUT-AdS spacetimes
• Revisiting mass formulas of the four-dimensional Reissner-Nordström-NUT-AdS solutions in a different metric form
• A tale of two theories of gravity in asymptotically Anti-de Sitter spacetime