منابع مشابه
Cosmology with a Shock-Wave
We construct the simplest solution of the Einstein equations that incorporates a shock–wave into a standard Friedmann–Robertson– Walker metric whose equation of state accounts for the Hubble constant and the microwave background radiation temperature. This produces a new solution of the Einstein equations from which we are able to derive estimates for the shock position at present time. We show...
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We construct a class of global exact solutions of the Einstein equations that extend the Oppeheimer-Snyder model to the case of nonzero pressure, inside the black hole, by incorporating a shock wave at the leading edge of the expansion of the galaxies, arbitrarily far beyond the Hubble length in the Friedmann-Robertson-Walker (FRW) spacetime. Here the expanding FRW universe emerges be-hind a su...
متن کاملShock Wave Cosmology inside a Black Hole - Ii
We derive and analyze the equations that extend the results in [20, 21] to the case of non-critical expansion k �= 0. By an asymptotic argument we show that the equation of state p = c 2 3 ρ plays the same distinguished role in the analysis when k �= 0 as it does when k = 0 : only for this equation of state does the shock emerge from the Big Bang at a finite nonzero speed—the speed of light. We...
متن کاملPeriodic Wave Shock solutions of Burgers equations
In this paper we investigate the exact peroidic wave shock solutions of the Burgers equations. Our purpose is to describe the asymptotic behavior of the solution in the cauchy problem for viscid equation with small parametr ε and to discuss in particular the case of periodic wave shock. We show that the solution of this problem approaches the shock type solution for the cauchy problem of the in...
متن کاملShock Waves and Cosmology
which satisfies Einstein’s equations of general relativity with a perfect fluid source. In this model, which accounts for things on the largest length scale, the universe is approximated by a space of uniform density and pressure at each fixed time, and the expansion rate is determined by the cosmological scale factor R(t) that evolves according to the Einstein equations. Astronomical observati...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2000
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s002200050780