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The statistics of peaks of Gaussian random fields
A set of new mathematical results on the theory of Gaussian random fields is presented, and the application of such calculations in cosmology to treat questions of structure formation from
The four laws of black hole mechanics
Expressions are derived for the mass of a stationary axisymmetric solution of the Einstein equations containing a black hole surrounded by matter and for the difference in mass between two
Gauge Invariant Cosmological Perturbations
The physical interpretation of perturbations of homogeneous, isotropic cosmological models in the early Universe, when the perturbation is larger than the particle horizon, is clarified by defining a
Extreme Kerr throat geometry: A vacuum analog of AdS 2 × S 2
We study the near-horizon limit of a four-dimensional extreme rotating black hole. The limiting metric is a completely nonsingular vacuum solution, with an enhanced symmetry group
Kerr Metric Black Holes
LYNDEN-BELL has suggested1 that a massive collapsed object may lie at the centre of many galaxies, including our own, and that a continuing flux of matter into such a collapsed object, or “black
Spontaneous Creation of Almost Scale - Free Density Perturbations in an Inflationary Universe
The creation and evolution of energy-density perturbations are analyzed for the "new inflationary universe" scenario proposed by Linde, and Albrecht and Steinhardt. According to the scenario, the