Built on

D. M. Capper and M. J. Duff, “Trace anomalies in dimensional regularization,” Nuovo Cim. A23
1974
Earlier work this paper cites.
Viatcheslav F. Mukhanov and G. V. Chibisov, “Quantum Fluctuations and a Nonsingular Universe,” JETP Lett. 33
1981
Earlier work this paper cites.
R. J. Riegert, “A Nonlocal Action for the Trace Anomaly,” Phys. Lett. B134
1984
Earlier work this paper cites.
A. O. Barvinsky and G. A. Vilkovisky, “Beyond the Schwinger-Dewitt Technique: Converting Loops Into Trees and In-In Currents,” Nucl. Phys. B282
1987
Earlier work this paper cites.
A. O. Barvinsky, Yu. V. Gusev, V. V. Zhytnikov, and G. A. Vilkovisky, “Asymptotic behaviors of one loop vertices in the gravitational effective action,” Class. Quant. Grav. 12
1995
Earlier work this paper cites.
Christof Wetterich, “Effective nonlocal Euclidean gravity,” Gen. Rel. Grav. 30
1998
Earlier work this paper cites.
Nima Arkani-Hamed, Savas Dimopoulos, Gia Dvali, and Gregory Gabadadze, “Nonlocal modification of gravity and the cosmological constant problem,” (2002), arXiv:hep-th/0209227 [hep-th]
2002
Earlier work this paper cites.
M. E. Soussa and R. P. Woodard, “A Nonlocal Metric Formulation of MOND,” Classical and Quantum Gravity 20
2003
Earlier work this paper cites.
Gia Dvali, “Predictive Power of Strong Coupling in Theories with Large Distance Modified Gravity,” New J. Phys. 8
2006
Earlier work this paper cites.
Stanley Deser and R. P. Woodard, “Nonlocal Cosmology,” Phys. Rev. Lett. 99
Original
2007
Earlier work this paper cites.

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2016

Instabilities in tensorial nonlocal gravity

Nersisyan, Henrik, Akrami, Yashar, Amendola, Luca et al.

Understand

We discuss the cosmological implications of nonlocal modifications of general relativity containing tensorial structures.

Assuming the presence of standard radiation- and matter-dominated eras, we show that, except in very particular cases, the nonlocal terms contribute a rapidly growing energy density.
These models therefore generically do not have a stable cosmological evolution.

Built on

D. M. Capper and M. J. Duff, “Trace anomalies in dimensional regularization,” Nuovo Cim. A23
1974
Earlier work this paper cites.
Viatcheslav F. Mukhanov and G. V. Chibisov, “Quantum Fluctuations and a Nonsingular Universe,” JETP Lett. 33
1981
Earlier work this paper cites.
R. J. Riegert, “A Nonlocal Action for the Trace Anomaly,” Phys. Lett. B134
1984
Earlier work this paper cites.
A. O. Barvinsky and G. A. Vilkovisky, “Beyond the Schwinger-Dewitt Technique: Converting Loops Into Trees and In-In Currents,” Nucl. Phys. B282
1987
Earlier work this paper cites.
A. O. Barvinsky, Yu. V. Gusev, V. V. Zhytnikov, and G. A. Vilkovisky, “Asymptotic behaviors of one loop vertices in the gravitational effective action,” Class. Quant. Grav. 12
1995
Earlier work this paper cites.
Christof Wetterich, “Effective nonlocal Euclidean gravity,” Gen. Rel. Grav. 30
1998
Earlier work this paper cites.
Nima Arkani-Hamed, Savas Dimopoulos, Gia Dvali, and Gregory Gabadadze, “Nonlocal modification of gravity and the cosmological constant problem,” (2002), arXiv:hep-th/0209227 [hep-th]
2002
Earlier work this paper cites.
M. E. Soussa and R. P. Woodard, “A Nonlocal Metric Formulation of MOND,” Classical and Quantum Gravity 20
2003
Earlier work this paper cites.
Gia Dvali, “Predictive Power of Strong Coupling in Theories with Large Distance Modified Gravity,” New J. Phys. 8
2006
Earlier work this paper cites.
Stanley Deser and R. P. Woodard, “Nonlocal Cosmology,” Phys. Rev. Lett. 99
Original
2007
Earlier work this paper cites.