Year: 2005
Type: article
Abstract: 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.
Author: Marek Rogatko
Institution: Maria Curie-Skłodowska University
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2083530751