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A note on viability of nonminimally coupled $f(R)$ theory · Around

2016

A note on viability of nonminimally coupled $f(R)$ theory

Koivisto, Tomi, Tamanini, Nicola

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Consistency conditions for nonminimally coupled $f(R)$ theories have been derived by requiring the absence of tachyons and instabilities in the scalar fluctuations.

This note confirms these results and clarifies a subtlety regarding different definitions of sound speeds.

Built on

V. F. Mukhanov, H. A. Feldman and R. H. Brandenberger, Phys. Rept. 215
1992
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S. Nojiri and S. D. Odintsov, Phys. Lett. B 599
2004
Earlier work this paper cites.
G. Allemandi, A. Borowiec, M. Francaviglia and S. D. Odintsov, Phys. Rev. D 72
2005
Earlier work this paper cites.

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T. Koivisto, Class. Quant. Grav. 23
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D. Langlois, S. Renaux-Petel, D. A. Steer and T. Tanaka, Phys. Rev. D 78
Original
2008
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R. L. Arnowitt, S. Deser and C. W. Misner, Gen. Rel. Grav. 40
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Cited alongside, same era.

Then

T. Harko and F. S. N. Lobo, Galaxies 2
Original
2013
Later among the works it cites.
N. Tamanini and T. S. Koivisto, Phys. Rev. D 88
Original
2013
Later among the works it cites.
O. Bertolami and J. Páramos, Gen. Rel. Grav. 48
Original
2016
Closest in time.

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