Isolated horizons, p-form matter fields, topology and the black-hole/string correspondence principle

Understand

We study the mechanics of D-dimensional isolated horizons (IHs) for Einstein gravity in the presence of arbitrary p-form matter fields.

• This generalizes the analysis of Copsey and Horowitz to non-stationary spacetimes and therefore the local first law to include non-monopolar (dipole) charges.
• The only requirement for the local first law to hold is that the action has to be differentiable.
• The resulting conserved charges are all intrinsic to the horizon and are independent of the topology of the horizon cross sections.