Linear response, Hamiltonian, and radiative spinning two-body dynamics - INSPIRE

DataBETA

Linear response, Hamiltonian, and radiative spinning two-body dynamics

Gustav Uhre Jakobsen
(
)
,
Gustav Mogull
(
)

Oct 12, 2022

23 pages

Published in:

Phys.Rev.D 107 (2023) 4, 044033

Published: Feb 15, 2023

e-Print:

2210.06451 [hep-th]

DOI:

10.1103/PhysRevD.107.044033 (publication)

Report number:

HU-EP-22/32-RTG

View in:

reference search50 citations

Citations per year

Abstract: (APS)

Using the spinning, supersymmetric worldline quantum field theory formalism we compute the momentum impulse and spin kick from a scattering of two spinning black holes or neutron stars up to quadratic order in spin at third post-Minkowskian (PM) order, including radiation-reaction effects and with arbitrarily misaligned spin directions. Parts of these observables, both conservative and radiative, are also inferred from lower-PM scattering data by extending Bini and Damour’s linear response formula to include misaligned spins. By solving Hamilton’s equations of motion we also use a conservative scattering angle to infer a complete 3PM two-body Hamiltonian including finite-size corrections and misaligned spin-spin interactions. Finally, we describe mappings to the bound two-body dynamics for aligned spin vectors: including a numerical plot of the binding energy for circular orbits compared with numerical relativity, analytic confirmation of the NNLO PN binding energy, and the energy loss over successive orbits.

Note:

23 pages, 2 figures

spin: vector
correction: finite size
scattering
Hamiltonian
binding energy
orbit
conservation law
black hole
neutron star
field equations

References(151)

Figures(37)

[1]

Observation of Gravitational Waves from a Binary Black Hole Merger

LIGO Scientific and
Virgo

Collaborations

•

B.P. Abbott
(
- Caltech
)

et al.

- Phys.Rev.Lett. 116 (2016) 6, 061102
•
e-Print:
- 1602.03837
•
DOI:
- 10.1103/PhysRevLett.116.061102

[2]

GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral

LIGO Scientific and
Virgo

Collaborations

•

B.P. Abbott
(
- LIGO Lab., Caltech
)

et al.

- Phys.Rev.Lett. 119 (2017) 16, 161101
•
e-Print:
- 1710.05832
•
DOI:
- 10.1103/PhysRevLett.119.161101

[3]

GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs

LIGO Scientific and
Virgo

Collaborations

•

B.P. Abbott
(
- LIGO Lab., Caltech
)

et al.

- Phys.Rev.X 9 (2019) 3, 031040
•
e-Print:
- 1811.12907
•
DOI:
- 10.1103/PhysRevX.9.031040

[4]

GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run

LIGO Scientific and
Virgo

Collaborations

•

R. Abbott
(
- LIGO Lab., Caltech
)

et al.

- Phys.Rev.X 11 (2021) 021053
•
e-Print:
- 2010.14527
•
DOI:
- 10.1103/PhysRevX.11.021053

[5]

GWTC-2.1: Deep extended catalog of compact binary coalescences observed by LIGO and Virgo during the first half of the third observing run

LIGO Scientific and
VIRGO

Collaborations

•

R. Abbott
(
- LIGO Lab., Caltech
)

et al.

- Phys.Rev.D 109 (2024) 2, 022001
•
e-Print:
- 2108.01045
•
DOI:
- 10.1103/PhysRevD.109.022001

[6]

GWTC-3: Compact Binary Coalescences Observed by LIGO and Virgo during the Second Part of the Third Observing Run

Collaborations

•

R. Abbott
(
- LIGO Lab., Caltech
)

et al.

- Phys.Rev.X 13 (2023) 4, 041039,
- Phys. Rev. X; 13(4):041039; 2023
•
e-Print:
- 2111.03606
•
DOI:
- 10.1103/PhysRevX.13.041039

[7]

Snowmass2021 Cosmic Frontier White Paper: Future Gravitational-Wave Detector Facilities

Stefan W. Ballmer
(
- Syracuse U.
)
,
Rana Adhikari
(
- LIGO Lab., Caltech
)
,
Leonardo Badurina
(
- King's Coll. London
)
,
Duncan A. Brown
(
- Syracuse U.
)
,
Swapan Chattopadhyay
(
- Fermilab
)

et al.

e-Print:
- 2203.08228

[8]

An Effective field theory of gravity for extended objects

Walter D. Goldberger
(
- Yale U.
)
,
Ira Z. Rothstein
(
- Carnegie Mellon U.
)

- Phys.Rev.D 73 (2006) 104029
•
e-Print:
- hep-th/0409156
•
DOI:
- 10.1103/PhysRevD.73.104029

[9]

Towers of Gravitational Theories

Walter D. Goldberger
(
- Yale U.
)
,
Ira Z. Rothstein
(
- Carnegie Mellon U.
)

- Gen.Rel.Grav. 38 (2006) 1537-1546,
- Int.J.Mod.Phys.D 15 (2006) 2293-2302
•
e-Print:
- hep-th/0605238
•
DOI:
- 10.1142/S0218271806009698

[10]

Gravitational radiative corrections from effective field theory

Walter D. Goldberger
(
- Yale U.
)
,
Andreas Ross
(
- Yale U.
)

- Phys.Rev.D 81 (2010) 124015
•
e-Print:
- 0912.4254
•
DOI:
- 10.1103/PhysRevD.81.124015

[11]

The effective field theorist’s approach to gravitational dynamics

Rafael A. Porto
(
- ICTP-SAIFR, Sao Paulo
)

- Phys.Rept. 633 (2016) 1-104
•
e-Print:
- 1601.04914
•
DOI:
- 10.1016/j.physrep.2016.04.003

[12]

Effective Field Theories of Post-Newtonian Gravity: A comprehensive review

Michèle Levi
(
- IPhT, Saclay and
- Bohr Inst.
)

- Rept.Prog.Phys. 83 (2020) 7, 075901
•
e-Print:
- 1807.01699
•
DOI:
- 10.1088/1361-6633/ab12bc

[13]

Testing binary dynamics in gravity at the sixth post-Newtonian level

- Phys.Lett.B 807 (2020) 135496,
- Phys.Lett.B 807 (2020) 135496
•
e-Print:
- 2003.07145
•
DOI:
- 10.1016/j.physletb.2020.135496

[14]

Sixth post-Newtonian local-in-time dynamics of binary systems

Donato Bini
(
- IAC, Rome and
- INFN, Rome3
)
,
Thibault Damour
(
- IHES, Bures-sur-Yvette
)
,
Andrea Geralico
(
- IAC, Rome
)

- Phys.Rev.D 102 (2020) 2, 024061
•
e-Print:
- 2004.05407
•
DOI:
- 10.1103/PhysRevD.102.024061

[15]

Sixth post-Newtonian nonlocal-in-time dynamics of binary systems

Donato Bini
(
- IAC, Rome and
- INFN, Rome3
)
,
Thibault Damour
(
- IHES, Bures-sur-Yvette
)
,
Andrea Geralico
(
- IAC, Rome
)

- Phys.Rev.D 102 (2020) 8, 084047
•
e-Print:
- 2007.11239
•
DOI:
- 10.1103/PhysRevD.102.084047

[16]

The fifth-order post-Newtonian Hamiltonian dynamics of two-body systems from an effective field theory approach: potential contributions

- Nucl.Phys.B 965 (2021) 115352
•
e-Print:
- 2010.13672
•
DOI:
- 10.1016/j.nuclphysb.2021.115352

[17]

Efficient resummation of high post-Newtonian contributions to the binding energy

- JHEP 02 (2021) 165
•
e-Print:
- 2010.13730
•
DOI:
- 10.1007/JHEP02(2021)165

[18]

The 6th post-Newtonian potential terms at $O(G_N^4)$

- Phys.Lett.B 816 (2021) 136260
•
e-Print:
- 2101.08630
•
DOI:
- 10.1016/j.physletb.2021.136260

[19]

Post-Newtonian corrections to the motion of spinning bodies in NRGR

Rafael A. Porto
(
- Carnegie Mellon U.
)

- Phys.Rev.D 73 (2006) 104031
•
e-Print:
- gr-qc/0511061
•
DOI:
- 10.1103/PhysRevD.73.104031

[20]

Spinning gravitating objects in the effective field theory in the post-Newtonian scheme

Michele Levi
(
- ILP, Paris and
- Paris, Inst. Astrophys.
)
,
Jan Steinhoff
(
- Potsdam, Max Planck Inst. and
- Lisbon, IST
)

- JHEP 09 (2015) 219
•
e-Print:
- 1501.04956
•
DOI:
- 10.1007/JHEP09(2015)219

[21]

Non-conservative effects on spinning black holes from world-line effective field theory

Walter D. Goldberger
(
- Yale U.
)
,
Jingping Li
(
- Yale U.
)
,
Ira Z. Rothstein
(
- Carnegie Mellon U.
)

- JHEP 06 (2021) 053
•
e-Print:
- 2012.14869
•
DOI:
- 10.1007/JHEP06(2021)053

[22]

Scattering of gravitational waves off spinning compact objects with an effective worldline theory

- Phys.Rev.D 106 (2022) 12, 124026
•
e-Print:
- 2208.03170
•
DOI:
- 10.1103/PhysRevD.106.124026

[23]

N $^{3}$ LO gravitational spin-orbit coupling at order G $^{4}$

Michèle Levi
(
- Bohr Inst. and
- IPhT, Saclay
)
,
Andrew J. Mcleod
(
- Bohr Inst.
)
,
Matthew Von Hippel
(
- Bohr Inst.
)

- JHEP 07 (2021) 115,
- JHEP 07 (2021) 115
•
e-Print:
- 2003.02827
•
DOI:
- 10.1007/JHEP07(2021)115

[24]

N $^{3}$ LO spin-orbit interaction via the EFT of spinning gravitating objects

Jung-Wook Kim
(
- Queen Mary, U. of London (main)
)
,
Michèle Levi
(
- Oxford U., Inst. Math.
)
,
Zhewei Yin
(
- Uppsala U.
)

- JHEP 05 (2023) 184,
- JHEP 05 (2023) 184
•
e-Print:
- 2208.14949
•
DOI:
- 10.1007/JHEP05(2023)184

[25]

Gravitational spin-orbit Hamiltonian at NNNLO in the post-Newtonian framework

Manoj K. Mandal
(
- INFN, Padua
)
,
Pierpaolo Mastrolia
(
- INFN, Padua and
- Padua U.
)
,
Raj Patil
(
)
,
Jan Steinhoff
(
- Potsdam, Max Planck Inst.
)

- JHEP 03 (2023) 130
•
e-Print:
- 2209.00611
•
DOI:
- 10.1007/JHEP03(2023)130

1-25 of 151
1
2
3
4
5
6
7
25 / page