ISSN:
1572-9532
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract All nonstatic spherically symmetric fluid solutions to the Einstein equations in the comoving frame $$ds^2 = e^{\lambda (r,t)} dr^2 + e^{\mu (r,t)} d\Omega ^2 - e^{v(r,t)} dt^2$$ are found subject to the conditions: (i) $$\dot \lambda = {\rm A}\dot \mu$$ ,A = const, (ii) λ,μ, andν are separable functions ofr andt, (iii) the heat flux vanishes, and (iv) the coefficient of shear viscosity vanishes. There are but two classes of solutions: (i)A= 1, in which case the metric reduces to the Robertson-Walker form, and (ii)A=0, in which case there are four solutions, all with nonvanishing acceleration, expansion, and shear. WithA=0, the solutions are either singular at the origin or degenerate into spaces of constant curvature.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00759164
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