2005/01/25 by Marek Rogatko
Mathematics · Physics and Astronomy · #Angular momentum #Black Holes and Theoretical Physics #Black hole (networking) #Boundary (topology) #Classical mechanics #Cosmology and Gravitation Theories #Einstein #Einstein field equations #Event horizon #Formalism (music) #Horizon #Killing vector field #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #gr-qc #hep-lat #hep-th
paper · pdf · doi:10.1103/physrevd.71.024031
published as Phys.Rev. D71 (2005) 024031 · 10 pages, REVTEX, to published in Phys.Rev. D15
openalex publication_date 2005/01/25 · arxiv created 2005/01/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
I derive formulas for variations of mass, angular momentum, and canonical energy in Einstein (n\ensuremath-2)-gauge form field theory by means of the Arnowitt-Deser-Misner formalism. Considering the initial data for the manifold with an interior boundary which has the topology of (n\ensuremath-2) sphere, I obtained the generalized first law of black hole thermodynamics. Supposing that a black hole event horizon comprises a bifurcation Killing horizon with a bifurcate surface, I find that the solution is static in the exterior world, when the Killing timelike vector field is normal to the horizon and has vanishing electric or magnetic fields on static slices.