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2018

Geometric Inflation

Arciniega, Gustavo, Bueno, Pablo, Cano, Pablo A. et al.

Understand

We argue that the presence of an inflationary epoch is a natural, almost unavoidable, consequence of the existence of a sensible effective action involving an infinite tower of higher-curvature corrections to the Einstein-Hilbert action.

No additional fields besides the metric are required.
We show that a family of such corrections giving rise to a well-posed cosmological evolution exists and automatically replaces the radiation-dominated early-universe Big Bang by a singularity-free period of exponential growth of the scale factor, which is gracefully connected with standard late-time $\Lambda$CDM cosmology.
The class of higher-curvature theories giving rise to sensible cosmological evolution share additional remarkable properties such as the existence of Schwarzschild-like non-hairy black holes, or the fact that, just like for Einstein gravity, the only degrees of freedom propagated on the vacuum are those of the standard graviton.

Built on

D. Lovelock, aequationes mathematicae 4
1970
Earlier work this paper cites.
D. Lovelock, J. Math. Phys. 12
1971
Earlier work this paper cites.
G. W. Horndeski, Int. J. Theor. Phys. 10
1974
Earlier work this paper cites.
A. A. Starobinsky, Phys. Lett. B91
1980
Earlier work this paper cites.
D. J. Gross and E. Witten, Nucl. Phys. B277
1986
Earlier work this paper cites.
M. T. Grisaru and D. Zanon, Phys. Lett. B177
1986
Earlier work this paper cites.
D. J. Gross and J. H. Sloan, Nucl. Phys. B291
1987
Earlier work this paper cites.
E. A. Bergshoeff and M. de Roo, Nucl. Phys. B328
1989
Earlier work this paper cites.
S. A. Fulling, R. C. King, B. G. Wybourne, and C. J. Cummins, Classical and Quantum Gravity 9
1992
Earlier work this paper cites.
A. G. Riess et al. (Supernova Search Team), Astron. J. 116
1998
Earlier work this paper cites.
S. Perlmutter et al. (Supernova Cosmology Project), Astrophys. J. 517
1999
Earlier work this paper cites.
S. Frolov, I. R. Klebanov, and A. A. Tseytlin, Nucl. Phys. B620
2002
Earlier work this paper cites.
M. B. Green and C. Stahn, JHEP 09
2003
Earlier work this paper cites.
A. Adams, N. Arkani-Hamed, S. Dubovsky, A. Nicolis, and R. Rattazzi, JHEP 10
2006
Earlier work this paper cites.