The first law for stationary axisymmetric multi-black hole systems
arXiv:2307.06282 · doi:10.1016/j.physletb.2023.138152
Abstract
In the framework of Einstein-Maxwell theory, we consider collinear arrays of rotating electrically charged black holes connected by Misner-Dirac strings carrying gravimagnetic and magnetic fluxes. The first law of mechanics for these systems is derived. It involves as dynamical variables the areas, angular momenta and electric charges of the various Killing horizons -- black holes and Misner strings. When the gravimagnetic fluxes all vanish, the first law reduces to a form where the dynamical variables associated with the strings are the string tensions and magnetic fluxes. This form is not generically invariant under electric-magnetic duality.
arXiv comment14 pages Latex, published version
References in corpus (10)
- Black Holes of D=5 Supergravity
- Stationary and Axisymmetric Solutions of Higher-Dimensional General Relativity
- The first law of black brane mechanics
- Black diholes
- From Schwarzschild to Kerr: Generating spinning Einstein-maxwell fields from static fields
- On the Smarr formulas for electrovac spacetimes with line singularities
- Finite Magnetic Flux Tube as a Black & White Dihole
- On the Smarr formula for rotating dyonic black holes
- A tale of two dyons
- Rotating magnetized black diholes