Mathematics – Functional Analysis
Scientific paper
Jun 2010
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010aipc.1241..898g&link_type=abstract
INVISIBLE UNIVERSE: Proceedings of the Conference. AIP Conference Proceedings, Volume 1241, pp. 898-904 (2010).
Mathematics
Functional Analysis
Gravity, Cosmology, Dark Matter, Functional Analysis, Partial Differential Equations, Phenomenology Of Quantum Gravity, Origin And Formation Of The Universe, Dark Matter, Functional Analysis, Ordinary And Partial Differential Equations, Boundary Value Problems
Scientific paper
Working within the theory of modified Gauss-Bonnet gravity, we show that FLRW-like power-law solutions only exist for a very special class of f() theories. Furthermore, we point out that any transition from decelerated to accelerated expansion must pass through = 0, and no function f() that is differentiable at this point can admit both a decelerating power-law solution and any accelerating solution. This strongly constrains the cosmological viability of f()gravity, since it may not be possible to obtain an expansion history of the universe which is compatible with observations. We compare to the case of f(R)-gravity, and discuss possible caveats for the case of f()-gravity.
Ananda Kishore
Dunsby Peter K. S.
Goheer Naureen
Goswami Rituparno
Larena Julien
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