Edited by Ray d'Inverno
Publisher: Cambridge University Press
Print Publication Year: 1992
Online Publication Date:December 2009
Online ISBN:9780511524639
Hardback ISBN:9780521439763
Paperback ISBN:9780521017350
Chapter DOI: http://dx.doi.org/10.1017/CBO9780511524639.030
Subjects: Cosmology, Relativity and Gravitation, Astrophysics
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Abstract. We investigate initial data for localized gravitational waves in space-times with a cosmological constant Λ. By choosing the appropriate extrinsic curvature, we find that the Hamiltonian and momentum constraints turn out to be the same as those of the time-symmetric initial value problem for vacuum space-times without Λ. As initial data, we consider Brill waves and discuss the cosmological apparent horizon. Just as with Brill waves in asymptotically flat space-time, the gravitational “mass” of these waves is positive. Waves with large gravitational mass cause a strong cosmic expansion. Hence, the large amount of gravitational waves do not seem to be an obstacle to the cosmic no-hair conjecture.
INTRODUCTION
The present isotropy and homogeneity of our universe is something of a mystery within the framework of the standard big bang scenario. The inflationary universe scenario, however, is one of the favourable models which may explain the so-called homogeneity problem [1]. In this scenario, when a phase transition of the vacuum occurs due to an inflaton scalar field and supercooling results, the vacuum energy of the scalar field plays the role of a cosmological constant and the space-time behaves like the de Sitter one with a rapid cosmic expansion. This phenomenon is called inflation. As a result, all inhomogeneities go outside the horizon by rapid cosmic expansion. After inflation, the vacuum energy of the scalar field decays into radiation and the standard big bang scenario is recovered. However, there still remains a question in the above scenario.
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pp. vii-ix
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pp. xiii-xiv
pp. xv-xx
PART A - THEORETICAL APPROACHES: Read PDF
pp. 1-2
Numerical relativity on a transputer array: Read PDF
pp. 3-19
Some aspects of the characteristic initial value problem in numerical relativity: Read PDF
pp. 20-33
The characteristic initial value problem in general relativity: Read PDF
pp. 34-40
Algebraic approach to the characteristic initial value problem in general relativity: Read PDF
pp. 41-49
On hyperboloidal hypersurfaces: Read PDF
pp. 50-58
The initial value problem on null cones: Read PDF
pp. 59-68
Introduction to dual-null dynamics: Read PDF
pp. 69-78
On colliding plane wave space-times: Read PDF
pp. 79-82
Boundary conditions for the momentum constraint: Read PDF
pp. 83-93
On the choice of matter model in general relativity: Read PDF
pp. 94-102
A mathematical approach to numerical relativity: Read PDF
pp. 103-113
Making sense of the effects of rotation in general relativity: Read PDF
pp. 114-129
Stability of charged boson stars and catastrophe theory: Read PDF
pp. 130-140
PART B - PRACTICAL APPROACHES: Read PDF
pp. 141-142
Numerical asymptotics: Read PDF
pp. 143-162
Instabilities in rapidly rotating polytropes: Read PDF
pp. 163-181
Gravitational radiation from coalescing binary neutron stars: Read PDF
pp. 182-201
“Critical” behaviour in massless scalar field collapse: Read PDF
pp. 202-222
Godunov-type methods applied to general relativistic stellar collapse: Read PDF
pp. 223-229
Astrophysical sources of gravitational waves and neutrinos: Read PDF
pp. 230-246
Gravitational radiation from 3D gravitational stellar core collapse: Read PDF
pp. 247-257
A vacuum fully relativistic 3D numerical code: Read PDF
pp. 258-264
Solution of elliptic equations in numerical relativity using multiquadrics: Read PDF
pp. 265-280
Self-gravitating thin discs around rotating black holes: Read PDF
pp. 281-291
An ADI scheme for a black hole problem: Read PDF
pp. 292-296
Time-symmetric ADI and causal reconnection: Read PDF
pp. 297-307
The numerical study of topological defects: Read PDF
pp. 308-334
Computations of bubble growth during the cosmological quark-hadron transition: Read PDF
pp. 335-344
Initial data of axisymmetric gravitational waves with a cosmological constant: Read PDF
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