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U. Debnath and K. Bamba, Parametrizations of dark energy models in the background of general non-canonical scalar field in D D -dimensional fractal universe, Eur. Phys. J. C 79
Original
1902
Earlier work this paper cites.
G. Calcagni, S. Kuroyanagi, S. Marsat, M. Sakellariadou, N. Tamanini, and G. Tasinato, Quantum gravity and gravitational-wave astronomy, J. Cosmol. Astropart. Phys. 10 (2019) 012 [ arXiv:1907.02489 ]
Original
1907
Earlier work this paper cites.
G. ’t Hooft, Dimensional reduction in quantum gravity, in Salamfestschrift , edited by A. Ali, J. Ellis, and S. Randjbar-Daemi (World Scientific, Singapore, 1993) [ arXiv:gr-qc/9310026 ]
1993
Earlier work this paper cites.
A. Renzini et al
1996
Earlier work this paper cites.
P. Coles and F. Lucchin, Cosmology, 2nd ed
2002
Earlier work this paper cites.
R.R. Nigmatullin and A. Le Méhauté, Is there geometrical/physical meaning of the fractional integral with complex exponent?, J. Non-Cryst. Solids 351
2005
Earlier work this paper cites.
S. Carlip, Spontaneous dimensional reduction in short-distance quantum gravity?, AIP Conf. Proc. 1196
Original
2009
Earlier work this paper cites.
G. Calcagni, Fractal universe and quantum gravity, Phys. Rev. Lett. 104
Original
2010
Earlier work this paper cites.
G. Calcagni, Quantum field theory, gravity and cosmology in a fractal universe, J. High Energy Phys. 03 (2010) 120 [ arXiv:1001.0571 ]
Original
2010
Earlier work this paper cites.
G. Calcagni, Geometry and field theory in multi-fractional spacetime, J. High Energy Phys. 01 (2012) 065 [ arXiv:1107.5041 ]
Original
2012
Earlier work this paper cites.
N. Suzuki et al
Original
2012
Earlier work this paper cites.
G. Calcagni, Multi-scale gravity and cosmology, J. Cosmol. Astropart. Phys. 12 (2013) 041 [ arXiv:1307.6382 ]
Original
2013
Earlier work this paper cites.

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2020

Dark energy in multi-fractional spacetimes

Calcagni, Gianluca, De Felice, Antonio

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We study the possibility to obtain cosmological late-time acceleration from a geometry changing with the scale, in particular, in the so-called multifractional theories with $q$-derivatives and with weighted derivatives.

In the theory with $q$-derivatives, the luminosity distance is the same as in general relativity and, therefore, geometry cannot act as dark energy.
In the theory with weighted derivatives, geometry alone is able to sustain a late-time acceleration phase without fine tuning, while being compatible with structure-formation and big-bang nucleosynthesis bounds.
This suggests to extend the theory, in a natural way, from just small-scale to also large-scale modifications of gravity.