416 Bibliography
Kofman, L., Linde, A., Starobinsky, A. Reheating after inflation.Physical Review Letters,
73 (1994), 3195; Toward the theory of reheating after inflation.Physical Review D,
56 (1997), 3258. The self-consistent theory of preheating and reheating after infla-
tion is developed with special stress on the role of broad parametric resonance. The
presentation in Section 5.5 follows the main line of these papers.
Everett, H. “Relative state” formulation of quantum mechanics.Reviews of Modern Physics,
29 (1957), 454. (See also:The Many-Worlds Interpretation of Quantum Mechanics,
eds. De Witt, B., Graham, N. (1973), (Princeton, NJ: Princeton University Press.) This
remarkable paper is of great interest for those who want to pursue questions related to
the interpretation of the state vector of cosmological perturbations, mentioned at the
end of Section 8.3.3.
Vilenkin, A. Birth of inflationary universes.Physical Review D, 27 (1983), 2848. The eternal
self-reproduction regime is found for the new inflationary scenario.
Linde, A. Eternally existing self-reproducing chaotic inflationary universe.Physics Letters,
175B(1986), 395. It is pointed out that self-reproduction naturally arises in chaotic
inflation and this generically leads to eternal inflation and a nontrivial global structure
of the universe.
Gravitational instability (Chapters 6 and 7)
Jeans, J.Phil. Trans., 129 , (1902), 44;Astronomy and Cosmogony(1928), Cambridge:
Cambridge University Press. The Newtonian theory of gravitational instability in non-
expanding media is developed.
Bonnor, W.Monthly Notices of the Royal Astronomical Society, 117 (1957), 104. The
Newtonian theory of cosmological perturbations in an expanding matter-dominated
universe is developed.
Tolman, R.Relativity, Thermodynamics and Cosmology(1934), Oxford: Oxford University
Press. The exact spherically symmetric solution for a cloud of dust is found within
General Relativity (see Section 6.4.1).
Zel’dovich, Ya. Gravitational instability: an approximate theory for large density perturba-
tions.Astronomy and Astrophysics, 5 (1970), 84. It is discovered that gravitational
collapse generically leads to anisotropic structures and the exact nonlinear solution
for a one-dimensional collapsing cloud of dust is found (see Section 6.4.2).
Shandarin, S., Zel’dovich, Ya. Topology of the large scale structure of the universe.Com-
ments on Astrophysics, 10 (1983), 33; Bond, J. R., Kofman, L., Pogosian, D. How
filaments are woven into the cosmic web.Nature, 380 (1996), 603. The general pic-
ture of the large-scale structure of the universe is developed (Section 6.4.3).
Lifshitz, E. About gravitational stability of expanding world.Journal of Physics USSR 10
(1946), 166. The gravitational instability theory of the expanding universe is developed
in the synchronous coordinate system.
Gerlach, U., Sengupta, U. Relativistic equations for aspherical gravitational collapse.Phys-
ical Review D, 18 (1978), 1789. The gauge-invariant gravitational potentials and
used in Chapter 7 are introduced and the equations for these variables are derived.
Bardeen, J. Gauge-invariant cosmological perturbations.Physical Review D, 22 (1980),
- The solutions for the gauge-invariant variables in concrete models for the evo-
lution of the universe are found.
Chibisov, G., Mukhanov, V. Theory of relativistic potential: cosmological perturbations.
Preprint LEBEDEV-83-154 (1983) (unpublished; most of the results of this paper are
included in Mukhanov, Feldman and Brandenburger (1992) (see above)). The long-
wavelength solutions discussed in Section 7.3 are derived.