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2015

Energy conditions in mimetic-$f(R)$ gravity

Haghani, Zahra, Shiravand, Maryam, Shahidi, Shahab

Understand

The energy conditions of mimetic-$f(R)$ gravity theory is analyzed.

We will obtain the parameter space of the theory in some special forms of $f(R)$ in which the self-acceleration is allowed.
In this sense, the parameter space is obtained in a way that it violates the strong energy condition while satisfying the weak, null and dominant energy conditions.
We will also consider the condition that the Dolgov-Kawasaki instability is avoided.

Built on

M. Visser, Phys.Rev. D56 (1997) 7578, arXiv:gr-qc/9705070; M. P. Lima, S. Vitenti, M. J. Reboucas, Phys.Rev.D 77 (2008) 083518, arXiv:0802.0706 [astro-ph]; C. Wu, C. Ma and T. Zhang, Astro. Phys. J 753 (2012) 97, arXiv:1110.4541 [astro-ph.CO]; “ Lorentziand wormholes: from Einstein to Hawking
Original
1996
Earlier work this paper cites.
T. Jacobson and D. Mattingly, Phys. Rev. D 64 (2001) 024028, arXiv:0007031 [gr-qc]
2001
Earlier work this paper cites.
A.D. Dolgov and M. Kawasaki, Phys. Lett. B 573 (2003) 1, arXiv:0307285 [astro-ph]
2003
Earlier work this paper cites.
S. Nojiri, S. D. Odintsov, Phys.Rev. D68 (2003) 123512, hep-th/0307288
2003
Earlier work this paper cites.
S. W. Hawking and G. F. R. Ellis, The large scale structure of space-time
2004
Earlier work this paper cites.
E. Poisson, A relativistic’s toolkit: The mathematics of blackhole mechenics
2004
Earlier work this paper cites.
V. Faraoni, Phys. Rev. D 74 (2006) 104017, arXiv:0610734 [astro-ph]
2006
Earlier work this paper cites.
T. P. Sotiriou, Phys. Lett. B 645 (2007) 389, arXiv:0611107 [gr-qc]
2007
Earlier work this paper cites.
Dadhich, N.: arXiv:gr-qc/0511123v2; Kar, S. and Sengupta, S.: Pramana J. Phys. 69(2007)49
2007
Earlier work this paper cites.
C. Eling and T. Jacobson, Class. Quant. Grav. 23:5643 ,2006, Erratum-ibid.27:049802,2010, arXiv:0604088 [gr-qc]; T. Tamaki and U. Miyamoto, Phys .Rev. D 77 (2008) 024026, arXiv:0709.1011 [gr-qc];
Original
2008
Earlier work this paper cites.
P. Horava, Phys. Rev. D 79 (2009) 084008, arXiv:0901.3775 [hep-th]
Original
2009
Earlier work this paper cites.

Similar

Then

A. Golovnev, Phys. Lett. B 728 (2014) 39, arXiv:1310.2790 [gr-qc]
Original
2014
Later among the works it cites.
A. H. Chamseddine, V. Mukhanov and A. Vikman, JCAP 1406 (2014) 017, arXiv:1403.3961 [astro-ph.CO]
Original
2014
Later among the works it cites.
S. Nojiri, S. D. Odintsov, Mod. Phys. Lett. A 29 (2014) 1450211, arXiv:1408.3561 [hep-th]
Original
2014
Later among the works it cites.
O. Malaeb, Phys. Rev. D 91 (2015) 103526, arXiv:1404.4195 [gr-qc]
Original
2015
Closest in time.
R. Myrzakulov, L. Sebastiani, S. Vagnozzi, arXiv:1504.07984 [gr-qc]; A. V. Astashenok, S. D. Odintsov, V.K. Oikonomou, arXiv:1504.04861 [gr-qc]; D. Momeni, R. Myrzakulov, E. Güdekli, Int. J. Geom. Methods Mod. Phys. 12 (2015) 1550101, arXiv:1502.00977 [gr-qc]

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