Large-amplitude spherically symmetric perturbations in the early universe. I - The initial data

Details Large-amplitude spherically symmetric perturbations in the early universe. I - The initial data Large-amplitude spherically symmetric perturbations in the early universe. I - The initial data

Dec 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983apj...275...35d&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 275, Dec. 1, 1983, p. 35-44. Research supported by Bowling Green State Univ

Astronomy and Astrophysics

Astronomy

Black Holes (Astronomy), Cosmology, Gauge Theory, Gravitational Collapse, Relativity, Schwarzschild Metric, Density Distribution, Hamiltonian Functions, Hydrodynamic Equations, Matter (Physics), Momentum, Space-Time Functions

Scientific paper

Numerical relativity is used to set up the Einstein equations with a perfect fluid source, in an attempt to construct initial data sets corresponding to a spherical symmetry overdensity in a homogeneous, expanding background, as might be found in an overdensity in the early universe which could collapse to form a primordial black hole or dissipate, depending on subsequent dynamics. The Hamiltonian and momentum constraints are reduced to a system of coupled, nonlinear ordinary differential equations for the metric and extrinsic curvature. The condition for the existence of an apparent horizon in the Schwarzschild coordinate gage is also developed.

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