General analysis of self-dual solutions for the Einstein-Maxwell-Chern-Simons theory in(1+2)dimensions

2000/01/07 by Tekin Dereli, T. Dereli, Yu. N. Obukhov
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Algorithm #Angular momentum #Black Holes and Theoretical Physics #Chern–Simons theory #Classical mechanics #Combinatorics #Computation #Cosmology and Gravitation Theories #Duality (order theory) #Einstein #Field (mathematics) #Function (biology) #Gauge theory #Mathematical physics #Mathematics #Physics #Pure mathematics #Quantum mechanics #Spacetime #gr-qc

paper · pdf · doi:10.1103/physrevd.62.024013

published as Phys.Rev.D62:024013,2000 · 3 pages, REVTEX file, no figures

arxiv created 2000/01/07 · openalex publication_date 2000/06/22 · arxiv updated 2014/11/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The solutions of the Einstein-Maxwell-Chern-Simons theory are studied in (1+2) dimensions with the self-duality condition imposed on the Maxwell field. We give a closed form of the general solution which is determined by a single function having the physical meaning of the quasilocal angular momentum of the solution. This function completely determines the geometry of spacetime, also providing the direct computation of the conserved total mass and angular momentum of the configurations.

Citations

• Quantum Gravity in 2+1 Dimensions
• Black hole in three-dimensional spacetime
• Static Charged Black Holes in (2+1) Dimensional Dilaton Gravity
• Three-Dimensional Massive Gauge Theories
• The (2 + 1)-dimensional black hole
• Quasilocal energy and conserved charges derived from the gravitational action
• Geometry of the 2+1 Black Hole
• Temperature, energy, and heat capacity of asymptotically anti–de Sitter black holes
• Topologically massive gauge theories