First Law of Compact Binary Mechanics with Gravitational-Wave Tails - INSPIRE

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First Law of Compact Binary Mechanics with Gravitational-Wave Tails

Feb 22, 2017

23 pages

Published in:

Class.Quant.Grav. 34 (2017) 16, 164001

Published: Jul 14, 2017

e-Print:

1702.06839 [gr-qc]

DOI:

10.1088/1361-6382/aa79d7

View in:

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Abstract: (IOP)

We derive the first law of binary point-particle mechanics for generic bound (i.e. eccentric) orbits at the fourth post-Newtonian (4PN) order, accounting for the non-locality in time of the dynamics due to the occurence of a gravitational-wave tail effect at that order. Using this first law, we show how the periastron advance of the binary system can be related to the averaged redshift of one of the two bodies for a slightly non-circular orbit, in the limit where the eccentricity vanishes. Combining this expression with existing analytical self-force results for the averaged redshift, we recover the known 4PN expression for the circular-orbit periastron advance, to linear order in the mass ratio.

Note:

25 pages, matches published version

04.25.Nx
04.30.-w
97.60.Jd
97.60.Lf
binary: compact
gravitational radiation
gravitational radiation: emission
binary
mechanics
redshift

References(75)

Figures(0)

[1]

Post-Newtonian methods: Analytic results on the binary problem

Gerhard Schaefer
(
- Jena U.
)

- Fundam.Theor.Phys. 162 (2011) 167-210,
•
e-Print:
- 0910.2857

[2]

Post-Newtonian Theory for Gravitational Waves

Luc Blanchet
(
- Paris, Inst. Astrophys.
)

- Living Rev.Rel. 17 (2014) 2,
- Living Rev.Rel. 27 (2024) 1, 4
•
e-Print:
- 1310.1528
•
DOI:
- 10.12942/lrr-2014-2

[3]

Effective field theory methods to model compact binaries

- Class.Quant.Grav. 31 (2014) 4, 043001
•
e-Print:
- 1309.3474
•
DOI:
- 10.1088/0264-9381/31/4/043001

[4]

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

[5]

The Motion of point particles in curved spacetime

- Living Rev.Rel. 14 (2011) 7
•
e-Print:
- 1102.0529
•
DOI:
- 10.12942/lrr-2011-7

[6]

Gravitational Self-Force: Orbital Mechanics Beyond Geodesic Motion

Leor Barack
(
- Southampton U.
)

- Fundam.Theor.Phys. 177 (2014) 147-168
•
DOI:
- 10.1007/978-3-319-06349-2_6

[7]

Motion of small objects in curved spacetimes: An introduction to gravitational self-force

Adam Pound

- Fund.Theor.Phys. 179 (2015) 399-486
•
e-Print:
- 1506.06245
•
DOI:
- 10.1007/978-3-319-18335-0_13

[8]

The General Relativistic Two Body Problem and the Effective One Body Formalism

Thibault Damour
(
- IHES, Bures-sur-Yvette
)

- Fundam.Theor.Phys. 177 (2014) 111-145
•
e-Print:
- 1212.3169
•
DOI:
- 10.1007/978-3-319-06349-2_5

[9]

The Overlap of Numerical Relativity, Perturbation Theory and Post-Newtonian Theory in the Binary Black Hole Problem

Alexandre Le Tiec
(
- LUTH, Meudon
)

- Int.J.Mod.Phys.D 23 (2014) 10, 1430022
•
e-Print:
- 1408.5505
•
DOI:
- 10.1142/S0218271814300225

[10]

Sources of Gravitational Waves: Theory and Observations

Alessandra Buonanno
(
- Potsdam, Max Planck Inst. and
- Maryland U.
)
,
B.S. Sathyaprakash
(
- Cardiff U.
)

•
e-Print:
- 1410.7832

[11]

Towards the 4th post-Newtonian Hamiltonian for two-point-mass systems

Piotr Jaranowski
(
- Bialystok U.
)
,
Gerhard Schafer
(
- Jena U.
)

- Phys.Rev.D 86 (2012) 061503
•
e-Print:
- 1207.5448
•
DOI:
- 10.1103/PhysRevD.86.061503

[12]

Dimensional regularization of local singularities in the 4th post-Newtonian two-point-mass Hamiltonian

- Phys.Rev.D 87 (2013) 081503
•
e-Print:
- 1303.3225
•
DOI:
- 10.1103/PhysRevD.87.081503

[13]

Derivation of local-in-time fourth post-Newtonian ADM Hamiltonian for spinless compact binaries

Piotr Jaranowski
(
- Warsaw U.
)
,
Gerhard Schäfer
(
- Jena U., TPI
)

- Phys.Rev.D 92 (2015) 12, 124043
•
e-Print:
- 1508.01016
•
DOI:
- 10.1103/PhysRevD.92.124043

[14]

Nonlocal-in-time action for the fourth post-Newtonian conservative dynamics of two-body systems

Thibault Damour
(
- IHES, Bures-sur-Yvette
)
,
Piotr Jaranowski
(
- Bialystok U.
)
,
Gerhard Schäfer
(
- Jena U., TPI
)

- Phys.Rev.D 89 (2014) 6, 064058
•
e-Print:
- 1401.4548
•
DOI:
- 10.1103/PhysRevD.89.064058

[15]

Conservative dynamics of two-body systems at the fourth post-Newtonian approximation of general relativity

Thibault Damour
(
- IHES, Bures-sur-Yvette
)
,
Piotr Jaranowski
(
- Warsaw U.
)
,
Gerhard Schäfer
(
- Jena U., TPI
)

- Phys.Rev.D 93 (2016) 8, 084014
•
e-Print:
- 1601.01283
•
DOI:
- 10.1103/PhysRevD.93.084014

[16]

Fokker action of nonspinning compact binaries at the fourth post-Newtonian approximation

- Phys.Rev.D 93 (2016) 8, 084037
•
e-Print:
- 1512.02876
•
DOI:
- 10.1103/PhysRevD.93.084037

[17]

Energy and periastron advance of compact binaries on circular orbits at the fourth post-Newtonian order

Laura Bernard
(
- Lisbon, IST and
- Paris, Inst. Astrophys. and
- Paris U. VI, GRECO
)
,
Luc Blanchet
(
- Paris, Inst. Astrophys. and
- Paris U. VI, GRECO
)
,
Alejandro Bohé
(
- Potsdam, Max Planck Inst.
)
,
Guillaume Faye
(
- Paris, Inst. Astrophys. and
- Paris U. VI, GRECO
)
,
Sylvain Marsat
(
- Potsdam, Max Planck Inst.
)

- Phys.Rev.D 95 (2017) 4, 044026
•
e-Print:
- 1610.07934
•
DOI:
- 10.1103/PhysRevD.95.044026

[18]

Dynamics of the gravitational two-body problem at fourth post-Newtonian order and at quadratic order in the Newton constant

Stefano Foffa
(
- Geneva U.
)
,
Riccardo Sturani
(
- Urbino U. and
- INFN, Florence
)

- Phys.Rev.D 87 (2013) 6, 064011
•
e-Print:
- 1206.7087
•
DOI:
- 10.1103/PhysRevD.87.064011

[19]

Tail effect in gravitational radiation reaction: Time nonlocality and renormalization group evolution

Chad R. Galley
(
- Caltech, Pasadena (main)
)
,
Adam K. Leibovich
(
- Pittsburgh U.
)
,
Rafael A. Porto
(
- ICTP-SAIFR, Sao Paulo
)
,
Andreas Ross
(
- Carnegie Mellon U.
)

- Phys.Rev.D 93 (2016) 124010
•
e-Print:
- 1511.07379
•
DOI:
- 10.1103/PhysRevD.93.124010

[20]

Effective field theory approach to the gravitational two-body dynamics, at fourth post-Newtonian order and quintic in the Newton constant

Stefano Foffa
(
- Geneva U., CAP and
- Geneva U., Dept. Theor. Phys.
)
,
Pierpaolo Mastrolia
(
- INFN, Padua and
- Padua U.
)
,
Riccardo Sturani
(
- Rio Grande do Norte U.
)
,
Christian Sturm
(
- Wurzburg U.
)

- Phys.Rev.D 95 (2017) 10, 104009
•
e-Print:
- 1612.00482
•
DOI:
- 10.1103/PhysRevD.95.104009

[21]

Gravitational-wave tail effects to quartic non-linear order

Tanguy Marchand
(
- Paris, Inst. Astrophys. and
- APC, Paris
)
,
Luc Blanchet
(
- Paris, Inst. Astrophys.
)
,
Guillaume Faye
(
- Paris, Inst. Astrophys.
)

- Class.Quant.Grav. 33 (2016) 24, 244003
•
e-Print:
- 1607.07601
•
DOI:
- 10.1088/0264-9381/33/24/244003

[22]

Tail Transported Temporal Correlations in the Dynamics of a Gravitating System

Luc Blanchet
(
- Meudon Observ.
)
,
Thibault Damour
(
- Meudon Observ.
)

- Phys.Rev.D 37 (1988) 1410
•
DOI:
- 10.1103/PhysRevD.37.1410

[23]

Time asymmetric structure of gravitational radiation

L. Blanchet
(
- Meudon Observ.
)

- Phys.Rev.D 47 (1993) 4392-4420
•
DOI:
- 10.1103/PhysRevD.47.4392

[24]

Tail terms in gravitational radiation reaction via effective field theory

S. Foffa
(
- Geneva U., Dept. Theor. Phys. and
- Geneva U., CAP
)
,
Riccardo Sturani
(
- Urbino U. and
- INFN, Florence
)

- Phys.Rev.D 87 (2013) 4, 044056
•
e-Print:
- 1111.5488
•
DOI:
- 10.1103/PhysRevD.87.044056

[25]

Apparent ambiguities in the post-Newtonian expansion for binary systems

- Phys.Rev.D 96 (2017) 2, 024062
•
e-Print:
- 1703.06433
•
DOI:
- 10.1103/PhysRevD.96.024062

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