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F. Briscese, G. Calcagni, and L. Modesto, Nonlinear stability in nonlocal gravity, Phys. Rev. D 99 (2019) 084041 [ arXiv:1901.03267 ]
Original
1901
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.
R.A. Isaacson, Gravitational radiation in the limit of high frequency. I. The linear approximation and geometrical optics, Phys. Rev. 166 (1968) 1263
1968
Earlier work this paper cites.
K.S. Stelle, Renormalization of higher-derivative quantum gravity, Phys. Rev. D 16 (1977) 953
1977
Earlier work this paper cites.
G. ’t Hooft, Dimensional reduction in quantum gravity, in Salamfestschrift , Ed. by A. Ali, J. Ellis, S. Randjbar-Daemi, World Scientific, Singapore, 1993 [ arXiv:gr-qc/9310026 ]
1993
Earlier work this paper cites.
Y.J. Ng and H. Van Dam, Limit to space-time measurement, Mod. Phys. Lett. A 9 (1994) 335
1994
Earlier work this paper cites.
G. Amelino-Camelia, Limits on the measurability of space-time distances in the semiclassical approximation of quantum gravity, Mod. Phys. Lett. A 9 (1994) 3415 [ arXiv:gr-qc/9603014 ]
1994
Earlier work this paper cites.
G. Amelino-Camelia, J.R. Ellis, N.E. Mavromatos, and D.V. Nanopoulos, Distance measurement and wave dispersion in a Liouville string approach to quantum gravity, Int. J. Mod. Phys. A 12 (1997) 607 [ arXiv:hep-th/9605211 ]
1997
Earlier work this paper cites.
T. Padmanabhan, Quantum structure of space-time and black hole entropy, Phys. Rev. Lett. 81 (1998) 4297 [ arXiv:hep-th/9801015 ]
1998
Earlier work this paper cites.
V. Cardoso, Ó.J.C. Dias, and J.P.S. Lemos, Gravitational radiation in D D -dimensional spacetimes, Phys. Rev. D 67 (2003) 064026 [ arXiv:hep-th/0212168 ]
2003
Earlier work this paper cites.
B. Bertotti, L. Iess, and P. Tortora, A test of general relativity using radio links with the Cassini spacecraft, Nature 425 (2003) 374
2003
Earlier work this paper cites.
G. Amelino-Camelia, M. Arzano, and A. Procaccini, Severe constraints on loop-quantum-gravity energy-momentum dispersion relation from black-hole area-entropy law, Phys. Rev. D 70 (2004) 107501 [ arXiv:gr-qc/0405084 ]
2004
Earlier work this paper cites.
O. Lauscher and M. Reuter, Fractal spacetime structure in asymptotically safe gravity, J. High Energy Phys. 10 (2005) 050 [ arXiv:hep-th/0508202 ]
2005
Earlier work this paper cites.
J.M. Weisberg and J.H. Taylor, Relativistic binary pulsar B1913+16: thirty years of observations and analysis, ASP Conf. Ser. 328
2005
Earlier work this paper cites.
E. Bianchi, L. Modesto, C. Rovelli, and S. Speziale, Graviton propagator in loop quantum gravity, Classical Quantum Gravity 23 (2006) 6989 [ arXiv:gr-qc/0604044 ]
2006
Earlier work this paper cites.
C. Deffayet and K. Menou, Probing gravity with spacetime sirens, Astrophys. J. 668 (2007) L143 [ arXiv:0709.0003 ]
Original
2007
Earlier work this paper cites.
D. Oriti ed., Approaches to Quantum Gravity, Cambridge University Press, Cambridge, U.K., 2009
2009
Earlier work this paper cites.
D. Benedetti, Fractal properties of quantum spacetime, Phys. Rev. Lett. 102 (2009) 111303 [ arXiv:0811.1396 ]
Original
2009
Earlier work this paper cites.
P. Hořava, Spectral dimension of the universe in quantum gravity at a Lifshitz point, Phys. Rev. Lett. 102 (2009) 161301 [ arXiv:0902.3657 ]
Original
2009
Earlier work this paper cites.

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2009
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Then

M. Arzano and G. Calcagni, What gravity waves are telling about quantum spacetime, Phys. Rev. D 93 (2016) 124065 [ arXiv:1604.00541 ]
Original
2016
Later among the works it cites.
G. Calcagni, S. Kuroyanagi and S. Tsujikawa, Cosmic microwave background and inflation in multi-fractional spacetimes, J. Cosmol. Astropart. Phys. 08 (2016) 039 [ arXiv:1606.08449 ]
Original
2016
Later among the works it cites.
G. Calcagni, L. Modesto, and G. Nardelli, Quantum spectral dimension in quantum field theory, Int. J. Mod. Phys. D 25 (2016) 1650058 [ arXiv:1408.0199 ]
Original
2016
Later among the works it cites.
N. Tamanini, C. Caprini, E. Barausse, A. Sesana, A. Klein, and A. Petiteau, Science with the space-based interferometer eLISA. III: Probing the expansion of the Universe using gravitational wave standard sirens, J. Cosmol. Astropart. Phys. 04 (2016) 002 [ arXiv:1601.07112 ]
Original
2016
Later among the works it cites.

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2019

Gravitational-wave luminosity distance in quantum gravity

Calcagni, Gianluca, Kuroyanagi, Sachiko, Marsat, Sylvain et al.

Understand

Dimensional flow, the scale dependence of the dimensionality of spacetime, is a feature shared by many theories of quantum gravity (QG).

We present the first study of the consequences of QG dimensional flow for the luminosity distance scaling of gravitational waves in the frequency ranges of LIGO and LISA.
We find generic modifications with respect to the standard general-relativistic scaling, largely independent of specific QG proposals.
We constrain these effects using two examples of multimessenger standard sirens, the binary neutron-star merger GW170817 and a simulated supermassive black-hole merger event detectable with LISA.

Built on

F. Briscese, G. Calcagni, and L. Modesto, Nonlinear stability in nonlocal gravity, Phys. Rev. D 99 (2019) 084041 [ arXiv:1901.03267 ]
Original
1901
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.
R.A. Isaacson, Gravitational radiation in the limit of high frequency. I. The linear approximation and geometrical optics, Phys. Rev. 166 (1968) 1263
1968
Earlier work this paper cites.
K.S. Stelle, Renormalization of higher-derivative quantum gravity, Phys. Rev. D 16 (1977) 953
1977
Earlier work this paper cites.
G. ’t Hooft, Dimensional reduction in quantum gravity, in Salamfestschrift , Ed. by A. Ali, J. Ellis, S. Randjbar-Daemi, World Scientific, Singapore, 1993 [ arXiv:gr-qc/9310026 ]
1993
Earlier work this paper cites.
Y.J. Ng and H. Van Dam, Limit to space-time measurement, Mod. Phys. Lett. A 9 (1994) 335
1994
Earlier work this paper cites.
G. Amelino-Camelia, Limits on the measurability of space-time distances in the semiclassical approximation of quantum gravity, Mod. Phys. Lett. A 9 (1994) 3415 [ arXiv:gr-qc/9603014 ]
1994
Earlier work this paper cites.
G. Amelino-Camelia, J.R. Ellis, N.E. Mavromatos, and D.V. Nanopoulos, Distance measurement and wave dispersion in a Liouville string approach to quantum gravity, Int. J. Mod. Phys. A 12 (1997) 607 [ arXiv:hep-th/9605211 ]
1997
Earlier work this paper cites.
T. Padmanabhan, Quantum structure of space-time and black hole entropy, Phys. Rev. Lett. 81 (1998) 4297 [ arXiv:hep-th/9801015 ]
1998
Earlier work this paper cites.
V. Cardoso, Ó.J.C. Dias, and J.P.S. Lemos, Gravitational radiation in D D -dimensional spacetimes, Phys. Rev. D 67 (2003) 064026 [ arXiv:hep-th/0212168 ]
2003
Earlier work this paper cites.
B. Bertotti, L. Iess, and P. Tortora, A test of general relativity using radio links with the Cassini spacecraft, Nature 425 (2003) 374
2003
Earlier work this paper cites.
G. Amelino-Camelia, M. Arzano, and A. Procaccini, Severe constraints on loop-quantum-gravity energy-momentum dispersion relation from black-hole area-entropy law, Phys. Rev. D 70 (2004) 107501 [ arXiv:gr-qc/0405084 ]
2004
Earlier work this paper cites.
O. Lauscher and M. Reuter, Fractal spacetime structure in asymptotically safe gravity, J. High Energy Phys. 10 (2005) 050 [ arXiv:hep-th/0508202 ]
2005
Earlier work this paper cites.
J.M. Weisberg and J.H. Taylor, Relativistic binary pulsar B1913+16: thirty years of observations and analysis, ASP Conf. Ser. 328
2005
Earlier work this paper cites.
E. Bianchi, L. Modesto, C. Rovelli, and S. Speziale, Graviton propagator in loop quantum gravity, Classical Quantum Gravity 23 (2006) 6989 [ arXiv:gr-qc/0604044 ]
2006
Earlier work this paper cites.
C. Deffayet and K. Menou, Probing gravity with spacetime sirens, Astrophys. J. 668 (2007) L143 [ arXiv:0709.0003 ]
Original
2007
Earlier work this paper cites.
D. Oriti ed., Approaches to Quantum Gravity, Cambridge University Press, Cambridge, U.K., 2009
2009
Earlier work this paper cites.
D. Benedetti, Fractal properties of quantum spacetime, Phys. Rev. Lett. 102 (2009) 111303 [ arXiv:0811.1396 ]
Original
2009
Earlier work this paper cites.
P. Hořava, Spectral dimension of the universe in quantum gravity at a Lifshitz point, Phys. Rev. Lett. 102 (2009) 161301 [ arXiv:0902.3657 ]
Original
2009
Earlier work this paper cites.