Small perturbations in a flat radiation-matter universe and the effect of black hole formation

Details Small perturbations in a flat radiation-matter universe and the effect of black hole formation Small perturbations in a flat radiation-matter universe and the effect of black hole formation

Jun 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980apj...238..781m&link_type=abstract

Astrophysical Journal, Part 1, vol. 238, June 15, 1980, p. 781-784.

Astronomy and Astrophysics

Astronomy

10

Black Holes (Astronomy), Cosmology, Matter (Physics), Perturbation Theory, Stellar Evolution, Universe, Adiabatic Conditions, Linear Equations

Scientific paper

An exact analytic solution of the linear perturbation equation is presented for a flat (k = 0) matter and radiation universe, valid over scales larger than the horizon, in terms of hypergeometric functions. The behavior of these solutions, for the case of adiabatic and isothermal perturbations, agrees with previous work. A new solution is obtained for the case of zero initial curvature perturbations, which may arise as a result of black hole formation in the radiation era. The dominant growing mode for this case, contrary to some previous approximate results, grows proportional to the time.

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