The Gauss Map and 2+1 Gravity
Raymond S. Puzio
Abstract
We prove that the Gauss map of a surface of constant mean curvature embedded in Minkowski space is harmonic. This fact will then be used to study 2+1 gravity for surfaces of genus higher than one. By considering the energy of the Gauss map, a canonical transform between the ADM reduced variables and holonomy variables can be constructed. This allows one to solve (in principle) for the evolution in the ADM variables without having to explicitly solve the constraints first.
Create a lesson
Related papers
Emergent vacua and stability constraints on black hole solutions in higher-dimensional f(R) gravity
Nicolás Trullols Sandino, Andrei Galiautdinov
Electric and magnetic Penrose processes, charged-particle collisions and superradiance around a Lorentz-violating dyonic black hole
Fernando M. Belchior, Edilberto O. Silva
Conformal Cyclic Cosmology from Varying Fundamental Constants
Konrad Marosek, Adam Balcerzak
Perturbations of black holes with primary hair: time evolutions, quasinormal modes and greybody factors
Georgios Antoniou
Gravitational Lensing of Hayward Black Holes with EFT-Corrected Photon Propagation
Takamasa Kanai
Near-Horizon BMS Symmetry and Implications on Black Hole Entropy
Nihar Ranjan Ghosh, Malay K. Nandy