Why not a di-NUT? or Gravitational duality and rotating solutions

Abstract

We study how gravitational duality acts on rotating solutions, using the Kerr-NUT black hole as an example. After properly reconsidering how to take into account both electric (i.e. mass-like) and magnetic (i.e. NUT-like) sources in the equations of general relativity, we propose a set of definitions for the dual Lorentz charges. We then show that the Kerr-NUT solution has non-trivial such charges. Further, we clarify in which respect Kerr's source can be seen as a mass M with a dipole of NUT charges.

20 pages. v2: minor clarifications in section 4, version to appear in PRD

References in corpus (6)

• Dual Gravitons in AdS4/CFT3 and the Holographic Cotton Tensor
• Gravitational Duality Transformations on (A)dS4
• Gravitational multi-NUT solitons, Komar masses and charges
• Supersymmetry and Gravitational Duality
• Dual Gravity and Matter
• Holographic Aspects of Electric-Magnetic Dualities

Cited by in corpus (14)

• On some novel features of the Kerr-Newman-NUT Spacetime
• On Asymptotic Flatness and Lorentz Charges
• NUT charge in linearized infinite derivative gravity
• Gravitational Electric-Magnetic Duality, Gauge Invariance and Twisted Self-Duality
• Multipole moments of compact objects with NUT charge: Theoretical and observational implications
• Asymptotic Flatness, Taub-NUT, and Variational Principle
• Strong cosmic censorship conjecture with NUT charge and conformal coupling
• Integrability, Einstein spaces and holographic fluids
• Non-locality and gravitoelectromagnetic duality
• The Gregory-Laflamme instability and non-uniform generalizations of NUT strings
• Gravitational duality in General Relativity and Supergravity theories
• Dual Komar Mass, Torsion and Riemann-Cartan Manifolds
• Electromagnetic duality and central charge from first order formulation
• Gravielectric and gravimagnetic fluxes in nutty black holes