High Energy Theory Seminar

Solutions to general relativity with a negative cosmological constant have received significant attention due to the conjectured AdS/CFT correspondence, a particularly well-understood example of which is exhibited in 2+1 dimensions.

After reviewing known vacuum solutions to general relativity with a negative cosmological constant in 2+1 dimensions, I will present a gluing theorem for the corresponding vacuum general-relativistic initial data sets. By gluing two given time-symmetric vacuum initial data sets at conformal infinity, we obtain new time-symmetric vacuum initial data sets. I will sketch the derivation of the mass formulae of the resulting manifolds. For the case of the BTZ black hole, by invoking usual black hole thermodynamics, our mass formulae may be interpreted as entropy formulae. Our gluing theorem yields complete manifolds with any mass aspect function, which are smooth except for one or two conical singularities.

Based on joint work with P. T. Chruściel

Update: This talk will be via Zoom --

Contact [email protected] before 10am on day of talk for Zoom information.