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General Relativity and Quantum Cosmology, gr-qc
Abstract:
We construct the spacetime in the vicinity of a general isolated, rotating,
charged black hole. The black hole is modeled as a weakly isolated horizon, and
we use the characteristic initial value formulation of the Einstein equations
with the horizon as an inner boundary. The spacetime metric and other geometric
fields are expanded in a power series in a radial coordinate away from the
horizon by solving the characteristic field equations in the Newman-Penrose
formalism. This is the first in a series of papers which investigate the near
horizon geometry and its physical applications using the isolated horizon
framework.
