Post-Minkowskian Hamiltonians in modified theories of gravity
The aim of this note is to describe the computation of post-Minkowskian Hamiltonians in modified theories of gravity. Exploiting a recent relation between scattering amplitudes of massive scalars and potentials for relativistic point-particles we derive a contribution to post-Minkowskian Hamiltonian...
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| Format: | Article |
| Language: | English |
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Elsevier
2020-01-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269319308172 |
| _version_ | 1818043377009033216 |
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| author | Andrea Cristofoli |
| author_facet | Andrea Cristofoli |
| author_sort | Andrea Cristofoli |
| collection | DOAJ |
| description | The aim of this note is to describe the computation of post-Minkowskian Hamiltonians in modified theories of gravity. Exploiting a recent relation between scattering amplitudes of massive scalars and potentials for relativistic point-particles we derive a contribution to post-Minkowskian Hamiltonians at second order in the Newton's constant coming from R3 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 R3 theories. Keywords: Post-Minkowskian Hamiltonians, Scattering angle, Cubic gravity |
| first_indexed | 2024-12-10T09:01:14Z |
| format | Article |
| id | doaj.art-e32e302a8adb4beabab1c9e0a6fad1ca |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-12-10T09:01:14Z |
| publishDate | 2020-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-e32e302a8adb4beabab1c9e0a6fad1ca2022-12-22T01:55:17ZengElsevierPhysics Letters B0370-26932020-01-01800Post-Minkowskian Hamiltonians in modified theories of gravityAndrea Cristofoli0Niels Bohr International Academy and Discovery Center, Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, 2100 Copenhagen, DenmarkThe aim of this note is to describe the computation of post-Minkowskian Hamiltonians in modified theories of gravity. Exploiting a recent relation between scattering amplitudes of massive scalars and potentials for relativistic point-particles we derive a contribution to post-Minkowskian Hamiltonians at second order in the Newton's constant coming from R3 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 R3 theories. Keywords: Post-Minkowskian Hamiltonians, Scattering angle, Cubic gravityhttp://www.sciencedirect.com/science/article/pii/S0370269319308172 |
| spellingShingle | Andrea Cristofoli Post-Minkowskian Hamiltonians in modified theories of gravity Physics Letters B |
| title | Post-Minkowskian Hamiltonians in modified theories of gravity |
| title_full | Post-Minkowskian Hamiltonians in modified theories of gravity |
| title_fullStr | Post-Minkowskian Hamiltonians in modified theories of gravity |
| title_full_unstemmed | Post-Minkowskian Hamiltonians in modified theories of gravity |
| title_short | Post-Minkowskian Hamiltonians in modified theories of gravity |
| title_sort | post minkowskian hamiltonians in modified theories of gravity |
| url | http://www.sciencedirect.com/science/article/pii/S0370269319308172 |
| work_keys_str_mv | AT andreacristofoli postminkowskianhamiltoniansinmodifiedtheoriesofgravity |