Is a zero energy universe a consequence from FRWL equations

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In order to speed up an insight into this question, which I posed to myself, I try PF to give me one or more reactions.
My complete question is:
Is a zero universe a consequence of FRWL equations/solutions? Are FRWL equations/solutions a subset of the Einstein equations? If yes, to one or both questions, do Einsteins SR and or GR equations leave freedom for for non-zero energy universes? :frown:
 
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Not necessarily. Some papers to consider:

Birth of the Universe
http://zebu.uoregon.edu/~js/ast123/lectures/lec17.html

A Universe from Nothing
http://www.astrosociety.org/pubs/mercury/31_02/nothing.html

Simple quantum cosmology: Vacuum energy and initial state
http://arxiv.org/abs/gr-qc/0501014
 
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