Fetching the paper…

Reading the bibliography…

2019

Post-Minkowskian Hamiltonians in Modified Theories of Gravity

Cristofoli, Andrea

Original
PDF
Post on X

Understand

The aim of this note is to describe the computation of post-Minkwoskian Hamiltonians in modified theories of gravity.

Exploiting a recent relation between amplitudes of massive scalars and Hamiltonians for relativistic point-particles, we define a post-Minkowskian potential at second order in Newton's constant arising from $\mathcal{R}^3$ modifications in General Relativity.
Using this result we calculate the associated contribution to the scattering angle for binary black holes at second post-Minkowskian order, showing agreement in the non relativistic limit with previous results for the bending angle of a massless particle around a static massive source in $\mathcal{R}^3$ theories.

Post-Minkowskian Hamiltonians in Modified Theories of Gravity · Around

Built on

Z. Bern, C. Cheung, R. Roiban, C. H. Shen, M. P. Solon and M. Zeng, “Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order,” arXiv:1901.04424 [hep-th]
Original
1901
Earlier work this paper cites.
A. Antonelli, A. Buonanno, J. Steinhoff, M. van de Meent and J. Vines, “Energetics of Two-Body Hamiltonians in Post-Minkowskian Gravity,” Phys. Rev. D 99
Original
1901
Earlier work this paper cites.
B. S. Sathyaprakash et al
Original
1903
Earlier work this paper cites.
A. Brandhuber and G. Travaglini, “On higher-derivative effects on the gravitational potential and particle bending,” arXiv:1905.05657 [hep-th]
Original
1905
Earlier work this paper cites.
W. T. Emond and N. Moynihan, arXiv:1905.08213 [hep-th]
Original
1905
Earlier work this paper cites.
A. Cristofoli, N. E. J. Bjerrum-Bohr, P. H. Damgaard and P. Vanhove, arXiv:1906.01579 [hep-th]
Original
1906
Earlier work this paper cites.
Y. Iwasaki, Prog. Theor. Phys. 46
1971
Earlier work this paper cites.
R. R. Metsaev and A. A. Tseytlin, Phys. Lett. B 185
1987
Earlier work this paper cites.
T. Damour and G. Schaefer, Nuovo Cim. B 101
1988
Earlier work this paper cites.

Similar

A. Buonanno and T. Damour, Phys. Rev. D 59
1999
Cited alongside, same era.
T. Damour, Int. J. Mod. Phys. A 23
Original
2008
Cited alongside, same era.
T. Damour, “Gravitational scattering, post-Minkowskian approximation and Effective One-Body theory,” Phys. Rev. D 94
Original
2016
Cited alongside, same era.
P. Bueno and P. A. Cano, Phys. Rev. D 94
Original
2016
Cited alongside, same era.
P. Bueno and P. A. Cano, Phys. Rev. D 94
Original
2016
Cited alongside, same era.

Then

J. Vines, Class. Quant. Grav. 35
Original
2018
Later among the works it cites.
D. C. Dunbar, J. H. Godwin, G. R. Jehu and W. B. Perkins, Phys. Lett. B 780
Original
2018
Later among the works it cites.
N. E. J. Bjerrum-Bohr, P. H. Damgaard, G. Festuccia, L. Planté and P. Vanhove, Phys. Rev. Lett. 121
Original
2018
Later among the works it cites.
P. Brax, P. Valageas and P. Vanhove, Phys. Rev. D 97
Original
2018
Later among the works it cites.
P. Brax, P. Valageas and P. Vanhove, Int. J. Mod. Phys. A 33
2018
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

L. Alvarez-Gaume, A. Kehagias, C. Kounnas, D. Lüst and A. Riotto, Fortsch. Phys. 64

2016

Cited alongside, same era.

D. C. Dunbar, J. H. Godwin, G. R. Jehu and W. B. Perkins, Phys. Lett. B 771

2017

Cited alongside, same era.

T. Damour, “High-energy gravitational scattering and the general relativistic two-body problem,” Phys. Rev. D 97

2018

Cited alongside, same era.

C. Cheung, I. Z. Rothstein and M. P. Solon, Phys. Rev. Lett. 121

2018

Cited alongside, same era.

A. Guevara, A. Ochirov and J. Vines, arXiv:1812.06895 [hep-th]

Cited in the paper.

B. R. Holstein and A. Ross, arXiv:0802.0716 [hep-ph]

Cited in the paper.

P. Benincasa and F. Cachazo, arXiv:0705.4305 [hep-th]

Cited in the paper.

J. Vines, J. Steinhoff and A. Buonanno, Phys. Rev. D 99

2019

Closest in time.

M. Z. Chung, Y. T. Huang, J. W. Kim and S. Lee, JHEP 1904

2019

Closest in time.

D. A. Kosower, B. Maybee and D. O’Connell, JHEP 1902

2019

Closest in time.