2002/05/31 by J. F. da Rocha-Neto, K. H. Castello-Branco, K. H. C. Castello-Branco
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Angular momentum #Black Holes and Theoretical Physics #Black hole (networking) #Classical mechanics #Cosmology and Gravitation Theories #De Sitter universe #Event horizon #General relativity #Gravitation #Gravitational energy #Hamiltonian (control theory) #Kerr metric #Mathematical physics #Mathematics #Physics #Quantum mechanics #Rotating black hole #Schwarzschild metric #Spacetime #Universe #gr-qc #hep-th
paper · pdf · doi:10.1088/1126-6708/2003/11/002
published as JHEP0311:002,2003 · 11 pages, 1 figure, to appear in JHEP11(2003)002
openalex publication_date 2003/11/03 · arxiv created 2003/11/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In the context of the Hamiltonian formulation of the teleparallel equivalent of general relativity we compute the gravitational energy of Kerr and Kerr Anti-de Sitter (Kerr-AdS) space-times. The present calculation is carried out by means of an expression for the energy of the gravitational field that naturally arises from the integral form of the constraint equations of the formalism. In each case, the energy is exactly computed for finite and arbitrary spacelike two-spheres, without any restriction on the metric parameters. In particular, we evaluate the energy at the outer event horizon of the black holes.