9 research outputs found
The spacetime in the neighborhood of a general isolated black hole
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.Comment: 23 pages, 1 figur
Multipole Moments of Isolated Horizons
To every axi-symmetric isolated horizon we associate two sets of numbers,
and with , representing its mass and angular
momentum multipoles. They provide a diffeomorphism invariant characterization
of the horizon geometry. Physically, they can be thought of as the `source
multipoles' of black holes in equilibrium. These structures have a variety of
potential applications ranging from equations of motion of black holes and
numerical relativity to quantum gravity.Comment: 25 pages, 1 figure. Minor typos corrected, reference adde
Loop Quantum Geometry: A primer
This is the written version of a lecture given at the ``VI Mexican School of
Gravitation and Mathematical Physics" (Nov 21-27, 2004, Playa del Carmen,
Mexico), introducing the basics of Loop Quantum Geometry. The purpose of the
written contribution is to provide a Primer version, that is, a first entry
into Loop Quantum Gravity and to present at the same time a friendly guide to
the existing pedagogical literature on the subject. This account is geared
towards graduate students and non-experts interested in learning the basics of
the subject.Comment: 25 pages. Contribution for the Proceedings of the VI Mexican School
of Gravitation and Mathematical Physics. Corrected typo
Quantization of Midisuperspace Models
We give a comprehensive review of the quantization of midisuperspace models.
Though the main focus of the paper is on quantum aspects, we also provide an
introduction to several classical points related to the definition of these
models. We cover some important issues, in particular, the use of the principle
of symmetric criticality as a very useful tool to obtain the required
Hamiltonian formulations. Two main types of reductions are discussed: those
involving metrics with two Killing vector fields and spherically symmetric
models. We also review the more general models obtained by coupling matter
fields to these systems. Throughout the paper we give separate discussions for
standard quantizations using geometrodynamical variables and those relying on
loop quantum gravity inspired methods.Comment: To appear in Living Review in Relativit